Edit Profile (opens in new tab) Munz, Claus-Dieter Compute Distance To: Compute Author ID: munz.claus-dieter Published as: Munz, Claus-Dieter; Munz, C.-D.; Munz, C. D.; Münz, Claus-Dieter more...less Documents Indexed: 119 Publications since 1982, including 3 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 113 Co-Authors with 113 Joint Publications 1,469 Co-Co-Authors all top 5 Co-Authors 6 single-authored 23 Dumbser, Michael 21 Gassner, Gregor J. 16 Schneider, Rudolf 12 Beck, Andrea D. 10 Roller, Sabine 9 Klein, Rupert 9 Lörcher, Frieder 9 Schwartzkopff, Thomas 8 Hindenlang, Florian J. 7 Sonnendrücker, Eric 6 Fortenbach, Roland 6 Voss, Ursula 5 Lee, Yong-Joong 5 Rohde, Christian 4 Altmann, Christoph 4 Balsara, Dinshaw S. 4 Kemm, Friedemann 4 Taube, Arne 4 Westermann, Thomas 3 Dürrwächter, Jakob 3 Fasoulas, S. 3 Fechter, Stefan 3 Filimon, Alexander 3 Geratz, K. J. 3 Göz, Manfred F. 3 Hitz, Timon 3 Iben, Uwe 3 Jöns, Steven 3 Omnes, Pascal 3 Sonntag, Matthias 3 Staudenmaier, Marc 3 Toro, Eleuterio F. 2 Boger, Markus 2 Deininger, Martina 2 Flad, David G. 2 Heinen, Matthias 2 Hoffmann, Malte 2 Jaegle, Felix 2 Meister, Andreas 2 Meyer, Fabian 2 Sonar, Thomas 2 Utzmann, Jens 2 Vrabec, Jadran 2 Weigand, Bernhard 2 Zeifang, Jonas 2 Zeiler, Christoph 1 Adamidis, Panagiotis 1 Ali, Irfan 1 Arun, K. R. 1 Atak, Muhammed 1 Auweter-Kurtz, Monika 1 Baumann, Kirstin 1 Becker, Stefan 1 Birken, Philipp 1 Bispen, Georgij 1 Boblest, Sebastian 1 Bolemann, Thomas 1 Botta, Nicola 1 Copplestone, S. M. 1 D’Andrea, D. 1 Dedner, Andreas S. 1 Demirdžić, Ismet 1 Einfeldt, Bernd 1 Ertl, Thomas 1 Ferrari, Angela 1 Fertig, Markus 1 Frank, Hannes 1 Frénod, Emmanuel 1 Gerlinger, O. 1 Glass, Colin W. 1 Haas, Mark 1 Halter, Eberhard 1 Helluy, Philippe 1 Hempert, F. 1 Hesthaven, Jan S. 1 Horenko, Illia 1 Igdalov, Dimitri 1 Jung, Jonathan 1 Junk, Michael 1 Kaiser, Klaus Hermann 1 Katscher, Ulrich 1 Keim, Jens 1 Kempf, Daniel 1 Kopper, Patrick 1 Krais, Nico 1 Kröner, Dietmar 1 Kurz, Marius 1 Lukáčová-Medvid’ová, Mária 1 Maruhn, Joachim Alexander 1 Metzner, Philipp 1 Millington, R. C. 1 Mossier, Pascal 1 Müller, Christoph 1 Muzaferija, Samir 1 Noelle, Sebastian 1 Offenhäuser, P. 1 Perić, Milovan 1 Petkov, D. 1 Quandt, Markus 1 Ratzel, Marc ...and 18 more Co-Authors all top 5 Serials 21 Journal of Computational Physics 11 Computers and Fluids 7 Journal of Scientific Computing 6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Computer Physics Communications 3 SIAM Journal on Scientific Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 International Journal for Numerical Methods in Fluids 2 Mathematical Methods in the Applied Sciences 2 Comptes Rendus. Mécanique. Académie des Sciences, Paris 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Numerical Analysis 1 Physica D 1 Surveys on Mathematics for Industry 1 Computing and Visualization in Science 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal of Numerical Modelling 1 International Journal of Applied Mathematics and Computer Science 1 International Journal of Modern Physics C 1 Journal of Hyperbolic Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Applied Mathematics and Computational Science 1 Communications in Computational Physics 1 Communications on Applied Mathematics and Computation all top 5 Fields 94 Fluid mechanics (76-XX) 55 Numerical analysis (65-XX) 25 Partial differential equations (35-XX) 16 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 2,104 times in 1,264 Documents Cited by ▼ Year ▼ On Godunov-type methods near low densities. Zbl 0709.76102Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B. 263 1991 A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. Zbl 1147.65075Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter 235 2008 Hyperbolic divergence cleaning for the MHD equations. Zbl 1059.76040Dedner, A.; Kemm, F.; Kröner, D.; Munz, C.-D.; Schnitzer, T.; Wesenberg, M. 170 2002 Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. Zbl 1275.76169Balsara, Dinshaw S.; Rumpf, Tobias; Dumbser, Michael; Munz, Claus-Dieter 112 2009 Divergence correction techniques for Maxwell solvers based on a hyperbolic model. Zbl 0970.78010Munz, C.-D.; Omnes, P.; Schneider, R.; Sonnendrücker, E.; Voß, U. 79 2000 A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes. Zbl 1123.76040Gassner, Gregor; Lörcher, Frieder; Munz, Claus-Dieter 74 2007 Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100Dumbser, Michael; Munz, Claus-Dieter 68 2006 Asymptotic adaptive methods for multi-scale problems in fluid mechanics. Zbl 1015.76071Klein, R.; Botta, N.; Schneider, T.; Munz, C. D.; Roller, S.; Meister, A.; Hoffmann, L.; Sonar, T. 66 2001 Explicit discontinuous Galerkin methods for unsteady problems. Zbl 1365.76117Hindenlang, Florian; Gassner, Gregor J.; Altmann, Christoph; Beck, Andrea; Staudenmaier, Marc; Munz, Claus-Dieter 64 2012 The extension of incompressible flow solvers to the weakly compressible regime. Zbl 1042.76045Munz, C.-D.; Roller, S.; Klein, R.; Geratz, K. J. 59 2003 ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034Schwartzkopff, T.; Munz, C. D.; Toro, E. F. 56 2002 On Godunov-type schemes for Lagrangian gas dynamics. Zbl 0796.76057Munz, C. D. 47 1994 A weakly asymptotic preserving low Mach number scheme for the Euler equations of gas dynamics. Zbl 1321.76053Noelle, S.; Bispen, G.; Arun, K. R.; Lukáčová-Medviďová, M.; Munz, C.-D. 46 2014 A discontinuous Galerkin scheme based on a space-time expansion. II: Viscous flow equations in multi dimensions. Zbl 1218.76027Gassner, G.; Lörcher, F.; Munz, C.-D. 45 2008 Fast high order ADER schemes for linear hyperbolic equations. Zbl 1052.65078Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 43 2004 Multiple pressure variables methods for fluid flow at all Mach numbers. Zbl 1170.76342Park, J. H.; Munz, C.-D. 42 2005 A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes. Zbl 1124.65072Balsara, Dinshaw S.; Altmann, Christoph; Munz, Claus-Dieter; Dumbser, Michael 42 2007 A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension. Zbl 1143.76047Lörcher, F.; Gassner, G.; Munz, C.-D. 40 2007 Polymorphic nodal elements and their application in discontinuous Galerkin methods. Zbl 1267.76062Gassner, Gregor J.; Lörcher, Frieder; Munz, Claus-Dieter; Hesthaven, Jan S. 34 2009 ADER discontinuous Galerkin schemes for aeroacoustics. Zbl 1107.76044Dumbser, Michael; Munz, Claus-Dieter 30 2005 A high-order discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations. Zbl 1156.78012Taube, Arne; Dumbser, Michael; Munz, Claus-Dieter; Schneider, Rudolf 29 2009 New algorithms for ultra-relativistic numerical hydrodynamics. Zbl 0779.76062Schneider, V.; Katscher, U.; Rischke, D. H.; Waldhauser, B.; Maruhn, J. A.; Munz, C.-D. 28 1993 Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. Zbl 1220.65122Gassner, Gregor; Dumbser, Michael; Hindenlang, Florian; Munz, Claus-Dieter 28 2011 Shock capturing for discontinuous Galerkin methods using finite volume subcells. Zbl 1426.76429Sonntag, Matthias; Munz, Claus-Dieter 26 2014 Arbitrary high-order discontinuous Galerkin schemes for the magnetohydrodynamic equations. Zbl 1176.76075Taube, Arne; Dumbser, Michael; Balsara, Dinshaw S.; Munz, Claus-Dieter 24 2007 Arbitrary high order discontinuous Galerkin schemes. Zbl 1210.65165Dumbser, M.; Munz, C.-D. 23 2005 Les équations de Maxwell quand la conservation de la charge n’est pas satisfaite. (Maxwell’s equations when the charge conservation is not satisfied.) Zbl 0937.78005Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Voss, Ursula 22 1999 Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter 21 2013 Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells. Zbl 1366.65089Sonntag, Matthias; Munz, Claus-Dieter 21 2017 Simulation of underresolved turbulent flows by adaptive filtering using the high order discontinuous Galerkin spectral element method. Zbl 1349.76118Flad, David; Beck, Andrea; Munz, Claus-Dieter 19 2016 Preconditioning for modal discontinuous Galerkin methods for unsteady 3D Navier-Stokes equations. Zbl 1426.76520Birken, Philipp; Gassner, Gregor; Haas, Mark; Munz, Claus-Dieter 19 2013 Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. Zbl 1261.76049Munz, Claus-Dieter; Dumbser, Michael; Roller, Sabine 18 2007 A low Mach number scheme based on multi-scale asymptotics. Zbl 1060.76630Roller, Sabine; Munz, Claus-Dieter 17 2000 A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes. Zbl 0960.78019Munz, C.-D.; Omnes, P.; Schneider, R. 15 2000 An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations. Zbl 1147.65077Lörcher, Frieder; Gassner, Gregor; Munz, Claus-Dieter 14 2008 A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. Zbl 1375.76194Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 11 2017 A Runge-Kutta based discontinuous Galerkin method with time accurate local time stepping. Zbl 1358.76040Gassner, Gregor J.; Hindenlang, Florian; Munz, Claus-Dieter 9 2011 A finite-volume method for the Maxwell equations in the time domain. Zbl 1039.78012Munz, C.-D.; Schneider, R.; Voss, U. 9 2000 A high order sharp-interface method with local time stepping for compressible multiphase flows. Zbl 1284.76265Ferrari, Angela; Munz, Claus-Dieter; Weigand, Bernhard 9 2011 FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws. Zbl 1461.76347Krais, Nico; Beck, Andrea; Bolemann, Thomas; Frank, Hannes; Flad, David; Gassner, Gregor; Hindenlang, Florian; Hoffmann, Malte; Kuhn, Thomas; Sonntag, Matthias; Munz, Claus-Dieter 9 2021 On the numerical dissipation of high resolution schemes for hyperbolic conservation laws. Zbl 0646.65073Munz, Claus-Dieter 8 1988 A tracking method for gas flow into vacuum based on the vacuum Riemann problem. Zbl 0803.76074Munz, C.-D. 8 1994 Approximate Riemann solvers for fluid flow with material interfaces. Zbl 0962.76572Göz, Manfred F.; Munz, Claus-Dieter 7 1998 Efficient high-order discontinuous Galerkin computations of low Mach number flows. Zbl 1408.65091Zeifang, Jonas; Kaiser, Klaus; Beck, Andrea; Schütz, Jochen; Munz, Claus-Dieter 6 2018 On source terms and boundary conditions using arbitrary high order discontinuous Galerkin schemes. Zbl 1159.35305Dumbser, Michael; Munz, Claus-Dieter 6 2007 Coupling of compressible and incompressible flow regions using the multiple pressure variables approach. Zbl 1307.76077Boger, Markus; Jaegle, Felix; Klein, Rupert; Munz, Claus-Dieter 6 2015 A finite-volume particle-in-cell method for the numerical treatment of Maxwell-Lorentz equations on boundary-fitted meshes. Zbl 0941.78015Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Stein, Eckhardt; Voss, Ursula; Westermann, Thomas 5 1999 The ADER approach in 2D for a system of linear hyperbolic PDEs. Zbl 1028.76030Schwartzkopff, T.; Munz, C. D.; Toro, E. F.; Millington, R. C. 5 2001 Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension. Zbl 1410.76171Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 4 2018 A space-time adaptive discontinuous Galerkin scheme. Zbl 1390.65106Gassner, Gregor; Staudenmaier, Marc; Hindenlang, Florian; Atak, Muhammed; Munz, Claus-Dieter 4 2015 Simulation of real gas effects in supersonic methane jets using a tabulated equation of state with a discontinuous Galerkin spectral element method. Zbl 1390.76273Hempert, F.; Boblest, S.; Ertl, T.; Sadlo, F.; Offenhäuser, P.; Glass, C. W.; Hoffmann, M.; Beck, A.; Munz, C.-D.; Iben, U. 4 2017 Lax-Wendroff-type schemes of arbitrary order in several space dimensions. Zbl 1119.65082Lörcher, Frieder; Munz, Claus-Dieter 4 2007 Calculation of low Mach number acoustics: a comparison of MPV, EIF and linearized Euler equations. Zbl 1130.76072Roller, Sabine; Schwartzkopff, Thomas; Fortenbach, Roland; Dumbser, Michael; Munz, Claus-Dieter 4 2005 An efficient sliding mesh interface method for high-order discontinuous Galerkin schemes. Zbl 07426144Dürrwächter, Jakob; Kurz, Marius; Kopper, Patrick; Kempf, Daniel; Munz, Claus-Dieter; Beck, Andrea 3 2021 Aeroacoustic study of a forward facing step using linearized Euler equations. Zbl 1143.76567Ali, Irfan; Becker, Stefan; Utzmann, Jens; Munz, Claus-Dieter 2 2008 Arbitrary high order finite-volume methods for electromagnetic wave propagation. Zbl 1196.65145Schwartzkopff, T.; Lörcher, F.; Munz, C.-D.; Schneider, R. 2 2006 Evaluation of interface models for 3D-1D coupling of compressible Euler methods for the application on cavitating flows. Zbl 1329.76227Deininger, Martina; Jung, Jonathan; Skoda, Romuald; Helluy, Philippe; Munz, Claus-Dieter 2 2012 Two statistical particle split and merge methods for particle-in-cell codes. Zbl 1344.82052Pfeiffer, M.; Mirza, A.; Munz, C.-D.; Fasoulas, S. 2 2015 Heterogeneous domain decomposition for numerical aeroacoustics. Zbl 1298.76122Utzmann, Jens; Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 2 2006 Numerical simulations of compressible hydrodynamic instabilities with high resolution schemes. Zbl 0661.76043Munz, C.-D.; Schmidt, L. 2 1989 Multiple scale considerations for sound generation in low Mach number flow. Zbl 1170.76354Fortenbach, R.; Frénod, E.; Klein, R.; Munz, C. D.; Sonnendrücker, E. 2 2003 The multiple pressure variables method for weakly compressible fluids. Zbl 0900.76515Roller, S.; Munz, C.-D.; Geratz, K. J.; Klein, R. 2 1997 A finite-volume method for the instationary Maxwell equations. Zbl 0925.65240Voss, U.; Munz, C.-D.; Schneider, R. 2 1996 Divergence cleaning in finite-volume computations for electromagnetic wave propagations. Zbl 1062.78516Kemm, Friedemann; Lee, Yong-Joong; Munz, Claus-Dieter; Schneider, Rudolf 2 2002 Multiple-scale modelling of acoustic sources in low Mach-number flow. Zbl 1204.76032Munz, Claus-Dieter; Fortenbach, Roland; Dumbser, Michael 2 2005 High order and underresolution. Zbl 1381.76154Beck, Andrea; Gassner, Gregor; Munz, Claus-Dieter 2 2013 Direct simulation of aeroacoustics. Zbl 1180.76040Schwartzkopff, Thomas; Munz, Claus-Dieter 2 2003 A Particle-In-Cell solver based on a high-order hybridizable discontinuous Galerkin spectral element method on unstructured curved meshes. Zbl 1441.76071Pfeiffer, M.; Hindenlang, F.; Binder, T.; Copplestone, S. M.; Munz, C.-D.; Fasoulas, S. 2 2019 High-order finite volume schemes based on defect corrections. Zbl 1275.65052Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter 2 2013 Numerical analysis of ordinary and partial differential equations. An interactive textbook for engineers. With CD-ROM. 2nd revised ed. (Numerische Behandlung gewöhnlicher und partieller Differenzialgleichungen. Ein interaktives Lehrbuch für Ingenieure. Mit CD-ROM.) Zbl 1165.65001Munz, Claus-Dieter; Westermann, Thomas 1 2009 Hyperbolic partial differential equations. Theory, numerics and applications (with contributions by Michael Junk, Claus-Dieter Munz, Milovan Perić, Demirdžić, Samir Muzaferija, Giovanni Russo and Thomas Sonar). Zbl 1012.65086 1 2002 A combined finite volume discontinuous Galerkin approach for the sharp-interface tracking in multi-phase flow. Zbl 1426.76362Fechter, Stefan; Munz, Claus-Dieter 1 2014 Hyperbolic divergence cleaning, the electrostatic limit, and potential boundary conditions for particle-in-cell codes. Zbl 1349.78073Pfeiffer, M.; Munz, C.-D.; Fasoulas, S. 1 2015 Hyperbolic GLM scheme for elliptic constraints in computational electromagnetics and MHD. Zbl 1171.78319Lee, Y. J.; Schneider, R.; Munz, C.-D.; Kemm, F. 1 2005 The numerical approximation of a free gas-vacuum surface. Zbl 0874.76057Munz, C.-D.; Schneider, R.; Gerlinger, O. 1 1994 Physical symmetries and hyperbolic GLM divergence correction scheme for Maxwell and MHD equations. Zbl 1091.78001Lee, Yong Joong; Kemm, F.; Munz, C.-D.; Schneider, R. 1 2003 The multiple pressure variables method for fluid dynamics and aeroacoustics at low Mach numbers. Zbl 1210.76136Munz, C.-D.; Dumbser, M.; Zucchini, M. 1 2005 An approximate Riemann solver for advection-diffusion based on the generalized Riemann problem. Zbl 1476.65207Jöns, Steven; Munz, Claus-Dieter 1 2020 Comparison of macro- and microscopic solutions of the Riemann problem. I: Supercritical shock tube and expansion into vacuum. Zbl 1453.76095Hitz, Timon; Heinen, Matthias; Vrabec, Jadran; Munz, Claus-Dieter 1 2020 Shock detection and limiting strategies for high order discontinuous Galerkin schemes. Zbl 1169.76388Altmann, C.; Taube, A.; Gassner, G.; Lörcher, F.; Munz, C.-D. 1 2009 On the effect of flux functions in discontinuous Galerkin simulations of underresolved turbulence. Zbl 1302.76079Beck, Andrea D.; Gassner, Gregor J.; Munz, Claus-Dieter 1 2014 Discontinuous Galerkin schemes with defect corrections based on reconstruction. Zbl 1365.76114Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter 1 2012 Coupling of three- and one-dimensional hydraulic flow simulations. Zbl 07083202Deininger, Martina; Iben, Uwe; Munz, Claus-Dieter 1 2019 FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws. Zbl 1461.76347Krais, Nico; Beck, Andrea; Bolemann, Thomas; Frank, Hannes; Flad, David; Gassner, Gregor; Hindenlang, Florian; Hoffmann, Malte; Kuhn, Thomas; Sonntag, Matthias; Munz, Claus-Dieter 9 2021 An efficient sliding mesh interface method for high-order discontinuous Galerkin schemes. Zbl 07426144Dürrwächter, Jakob; Kurz, Marius; Kopper, Patrick; Kempf, Daniel; Munz, Claus-Dieter; Beck, Andrea 3 2021 An approximate Riemann solver for advection-diffusion based on the generalized Riemann problem. Zbl 1476.65207Jöns, Steven; Munz, Claus-Dieter 1 2020 Comparison of macro- and microscopic solutions of the Riemann problem. I: Supercritical shock tube and expansion into vacuum. Zbl 1453.76095Hitz, Timon; Heinen, Matthias; Vrabec, Jadran; Munz, Claus-Dieter 1 2020 A Particle-In-Cell solver based on a high-order hybridizable discontinuous Galerkin spectral element method on unstructured curved meshes. Zbl 1441.76071Pfeiffer, M.; Hindenlang, F.; Binder, T.; Copplestone, S. M.; Munz, C.-D.; Fasoulas, S. 2 2019 Coupling of three- and one-dimensional hydraulic flow simulations. Zbl 07083202Deininger, Martina; Iben, Uwe; Munz, Claus-Dieter 1 2019 Efficient high-order discontinuous Galerkin computations of low Mach number flows. Zbl 1408.65091Zeifang, Jonas; Kaiser, Klaus; Beck, Andrea; Schütz, Jochen; Munz, Claus-Dieter 6 2018 Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension. Zbl 1410.76171Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 4 2018 Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells. Zbl 1366.65089Sonntag, Matthias; Munz, Claus-Dieter 21 2017 A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. Zbl 1375.76194Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 11 2017 Simulation of real gas effects in supersonic methane jets using a tabulated equation of state with a discontinuous Galerkin spectral element method. Zbl 1390.76273Hempert, F.; Boblest, S.; Ertl, T.; Sadlo, F.; Offenhäuser, P.; Glass, C. W.; Hoffmann, M.; Beck, A.; Munz, C.-D.; Iben, U. 4 2017 Simulation of underresolved turbulent flows by adaptive filtering using the high order discontinuous Galerkin spectral element method. Zbl 1349.76118Flad, David; Beck, Andrea; Munz, Claus-Dieter 19 2016 Coupling of compressible and incompressible flow regions using the multiple pressure variables approach. Zbl 1307.76077Boger, Markus; Jaegle, Felix; Klein, Rupert; Munz, Claus-Dieter 6 2015 A space-time adaptive discontinuous Galerkin scheme. Zbl 1390.65106Gassner, Gregor; Staudenmaier, Marc; Hindenlang, Florian; Atak, Muhammed; Munz, Claus-Dieter 4 2015 Two statistical particle split and merge methods for particle-in-cell codes. Zbl 1344.82052Pfeiffer, M.; Mirza, A.; Munz, C.-D.; Fasoulas, S. 2 2015 Hyperbolic divergence cleaning, the electrostatic limit, and potential boundary conditions for particle-in-cell codes. Zbl 1349.78073Pfeiffer, M.; Munz, C.-D.; Fasoulas, S. 1 2015 A weakly asymptotic preserving low Mach number scheme for the Euler equations of gas dynamics. Zbl 1321.76053Noelle, S.; Bispen, G.; Arun, K. R.; Lukáčová-Medviďová, M.; Munz, C.-D. 46 2014 Shock capturing for discontinuous Galerkin methods using finite volume subcells. Zbl 1426.76429Sonntag, Matthias; Munz, Claus-Dieter 26 2014 A combined finite volume discontinuous Galerkin approach for the sharp-interface tracking in multi-phase flow. Zbl 1426.76362Fechter, Stefan; Munz, Claus-Dieter 1 2014 On the effect of flux functions in discontinuous Galerkin simulations of underresolved turbulence. Zbl 1302.76079Beck, Andrea D.; Gassner, Gregor J.; Munz, Claus-Dieter 1 2014 Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter 21 2013 Preconditioning for modal discontinuous Galerkin methods for unsteady 3D Navier-Stokes equations. Zbl 1426.76520Birken, Philipp; Gassner, Gregor; Haas, Mark; Munz, Claus-Dieter 19 2013 High order and underresolution. Zbl 1381.76154Beck, Andrea; Gassner, Gregor; Munz, Claus-Dieter 2 2013 High-order finite volume schemes based on defect corrections. Zbl 1275.65052Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter 2 2013 Explicit discontinuous Galerkin methods for unsteady problems. Zbl 1365.76117Hindenlang, Florian; Gassner, Gregor J.; Altmann, Christoph; Beck, Andrea; Staudenmaier, Marc; Munz, Claus-Dieter 64 2012 Evaluation of interface models for 3D-1D coupling of compressible Euler methods for the application on cavitating flows. Zbl 1329.76227Deininger, Martina; Jung, Jonathan; Skoda, Romuald; Helluy, Philippe; Munz, Claus-Dieter 2 2012 Discontinuous Galerkin schemes with defect corrections based on reconstruction. Zbl 1365.76114Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter 1 2012 Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. Zbl 1220.65122Gassner, Gregor; Dumbser, Michael; Hindenlang, Florian; Munz, Claus-Dieter 28 2011 A Runge-Kutta based discontinuous Galerkin method with time accurate local time stepping. Zbl 1358.76040Gassner, Gregor J.; Hindenlang, Florian; Munz, Claus-Dieter 9 2011 A high order sharp-interface method with local time stepping for compressible multiphase flows. Zbl 1284.76265Ferrari, Angela; Munz, Claus-Dieter; Weigand, Bernhard 9 2011 Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. Zbl 1275.76169Balsara, Dinshaw S.; Rumpf, Tobias; Dumbser, Michael; Munz, Claus-Dieter 112 2009 Polymorphic nodal elements and their application in discontinuous Galerkin methods. Zbl 1267.76062Gassner, Gregor J.; Lörcher, Frieder; Munz, Claus-Dieter; Hesthaven, Jan S. 34 2009 A high-order discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations. Zbl 1156.78012Taube, Arne; Dumbser, Michael; Munz, Claus-Dieter; Schneider, Rudolf 29 2009 Numerical analysis of ordinary and partial differential equations. An interactive textbook for engineers. With CD-ROM. 2nd revised ed. (Numerische Behandlung gewöhnlicher und partieller Differenzialgleichungen. Ein interaktives Lehrbuch für Ingenieure. Mit CD-ROM.) Zbl 1165.65001Munz, Claus-Dieter; Westermann, Thomas 1 2009 Shock detection and limiting strategies for high order discontinuous Galerkin schemes. Zbl 1169.76388Altmann, C.; Taube, A.; Gassner, G.; Lörcher, F.; Munz, C.-D. 1 2009 A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. Zbl 1147.65075Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter 235 2008 A discontinuous Galerkin scheme based on a space-time expansion. II: Viscous flow equations in multi dimensions. Zbl 1218.76027Gassner, G.; Lörcher, F.; Munz, C.-D. 45 2008 An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations. Zbl 1147.65077Lörcher, Frieder; Gassner, Gregor; Munz, Claus-Dieter 14 2008 Aeroacoustic study of a forward facing step using linearized Euler equations. Zbl 1143.76567Ali, Irfan; Becker, Stefan; Utzmann, Jens; Munz, Claus-Dieter 2 2008 A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes. Zbl 1123.76040Gassner, Gregor; Lörcher, Frieder; Munz, Claus-Dieter 74 2007 A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes. Zbl 1124.65072Balsara, Dinshaw S.; Altmann, Christoph; Munz, Claus-Dieter; Dumbser, Michael 42 2007 A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension. Zbl 1143.76047Lörcher, F.; Gassner, G.; Munz, C.-D. 40 2007 Arbitrary high-order discontinuous Galerkin schemes for the magnetohydrodynamic equations. Zbl 1176.76075Taube, Arne; Dumbser, Michael; Balsara, Dinshaw S.; Munz, Claus-Dieter 24 2007 Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. Zbl 1261.76049Munz, Claus-Dieter; Dumbser, Michael; Roller, Sabine 18 2007 On source terms and boundary conditions using arbitrary high order discontinuous Galerkin schemes. Zbl 1159.35305Dumbser, Michael; Munz, Claus-Dieter 6 2007 Lax-Wendroff-type schemes of arbitrary order in several space dimensions. Zbl 1119.65082Lörcher, Frieder; Munz, Claus-Dieter 4 2007 Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100Dumbser, Michael; Munz, Claus-Dieter 68 2006 Arbitrary high order finite-volume methods for electromagnetic wave propagation. Zbl 1196.65145Schwartzkopff, T.; Lörcher, F.; Munz, C.-D.; Schneider, R. 2 2006 Heterogeneous domain decomposition for numerical aeroacoustics. Zbl 1298.76122Utzmann, Jens; Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 2 2006 Multiple pressure variables methods for fluid flow at all Mach numbers. Zbl 1170.76342Park, J. H.; Munz, C.-D. 42 2005 ADER discontinuous Galerkin schemes for aeroacoustics. Zbl 1107.76044Dumbser, Michael; Munz, Claus-Dieter 30 2005 Arbitrary high order discontinuous Galerkin schemes. Zbl 1210.65165Dumbser, M.; Munz, C.-D. 23 2005 Calculation of low Mach number acoustics: a comparison of MPV, EIF and linearized Euler equations. Zbl 1130.76072Roller, Sabine; Schwartzkopff, Thomas; Fortenbach, Roland; Dumbser, Michael; Munz, Claus-Dieter 4 2005 Multiple-scale modelling of acoustic sources in low Mach-number flow. Zbl 1204.76032Munz, Claus-Dieter; Fortenbach, Roland; Dumbser, Michael 2 2005 Hyperbolic GLM scheme for elliptic constraints in computational electromagnetics and MHD. Zbl 1171.78319Lee, Y. J.; Schneider, R.; Munz, C.-D.; Kemm, F. 1 2005 The multiple pressure variables method for fluid dynamics and aeroacoustics at low Mach numbers. Zbl 1210.76136Munz, C.-D.; Dumbser, M.; Zucchini, M. 1 2005 Fast high order ADER schemes for linear hyperbolic equations. Zbl 1052.65078Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 43 2004 The extension of incompressible flow solvers to the weakly compressible regime. Zbl 1042.76045Munz, C.-D.; Roller, S.; Klein, R.; Geratz, K. J. 59 2003 Multiple scale considerations for sound generation in low Mach number flow. Zbl 1170.76354Fortenbach, R.; Frénod, E.; Klein, R.; Munz, C. D.; Sonnendrücker, E. 2 2003 Direct simulation of aeroacoustics. Zbl 1180.76040Schwartzkopff, Thomas; Munz, Claus-Dieter 2 2003 Physical symmetries and hyperbolic GLM divergence correction scheme for Maxwell and MHD equations. Zbl 1091.78001Lee, Yong Joong; Kemm, F.; Munz, C.-D.; Schneider, R. 1 2003 Hyperbolic divergence cleaning for the MHD equations. Zbl 1059.76040Dedner, A.; Kemm, F.; Kröner, D.; Munz, C.-D.; Schnitzer, T.; Wesenberg, M. 170 2002 ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034Schwartzkopff, T.; Munz, C. D.; Toro, E. F. 56 2002 Divergence cleaning in finite-volume computations for electromagnetic wave propagations. Zbl 1062.78516Kemm, Friedemann; Lee, Yong-Joong; Munz, Claus-Dieter; Schneider, Rudolf 2 2002 Hyperbolic partial differential equations. Theory, numerics and applications (with contributions by Michael Junk, Claus-Dieter Munz, Milovan Perić, Demirdžić, Samir Muzaferija, Giovanni Russo and Thomas Sonar). Zbl 1012.65086 1 2002 Asymptotic adaptive methods for multi-scale problems in fluid mechanics. Zbl 1015.76071Klein, R.; Botta, N.; Schneider, T.; Munz, C. D.; Roller, S.; Meister, A.; Hoffmann, L.; Sonar, T. 66 2001 The ADER approach in 2D for a system of linear hyperbolic PDEs. Zbl 1028.76030Schwartzkopff, T.; Munz, C. D.; Toro, E. F.; Millington, R. C. 5 2001 Divergence correction techniques for Maxwell solvers based on a hyperbolic model. Zbl 0970.78010Munz, C.-D.; Omnes, P.; Schneider, R.; Sonnendrücker, E.; Voß, U. 79 2000 A low Mach number scheme based on multi-scale asymptotics. Zbl 1060.76630Roller, Sabine; Munz, Claus-Dieter 17 2000 A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes. Zbl 0960.78019Munz, C.-D.; Omnes, P.; Schneider, R. 15 2000 A finite-volume method for the Maxwell equations in the time domain. Zbl 1039.78012Munz, C.-D.; Schneider, R.; Voss, U. 9 2000 Les équations de Maxwell quand la conservation de la charge n’est pas satisfaite. (Maxwell’s equations when the charge conservation is not satisfied.) Zbl 0937.78005Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Voss, Ursula 22 1999 A finite-volume particle-in-cell method for the numerical treatment of Maxwell-Lorentz equations on boundary-fitted meshes. Zbl 0941.78015Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Stein, Eckhardt; Voss, Ursula; Westermann, Thomas 5 1999 Approximate Riemann solvers for fluid flow with material interfaces. Zbl 0962.76572Göz, Manfred F.; Munz, Claus-Dieter 7 1998 The multiple pressure variables method for weakly compressible fluids. Zbl 0900.76515Roller, S.; Munz, C.-D.; Geratz, K. J.; Klein, R. 2 1997 A finite-volume method for the instationary Maxwell equations. Zbl 0925.65240Voss, U.; Munz, C.-D.; Schneider, R. 2 1996 On Godunov-type schemes for Lagrangian gas dynamics. Zbl 0796.76057Munz, C. D. 47 1994 A tracking method for gas flow into vacuum based on the vacuum Riemann problem. Zbl 0803.76074Munz, C.-D. 8 1994 The numerical approximation of a free gas-vacuum surface. Zbl 0874.76057Munz, C.-D.; Schneider, R.; Gerlinger, O. 1 1994 New algorithms for ultra-relativistic numerical hydrodynamics. Zbl 0779.76062Schneider, V.; Katscher, U.; Rischke, D. H.; Waldhauser, B.; Maruhn, J. A.; Munz, C.-D. 28 1993 On Godunov-type methods near low densities. Zbl 0709.76102Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B. 263 1991 Numerical simulations of compressible hydrodynamic instabilities with high resolution schemes. Zbl 0661.76043Munz, C.-D.; Schmidt, L. 2 1989 On the numerical dissipation of high resolution schemes for hyperbolic conservation laws. Zbl 0646.65073Munz, Claus-Dieter 8 1988 all cited Publications top 5 cited Publications all top 5 Cited by 1,782 Authors 102 Dumbser, Michael 51 Munz, Claus-Dieter 41 Toro, Eleuterio F. 35 Balsara, Dinshaw S. 32 Gassner, Gregor J. 30 Shu, Chi-Wang 25 Boscheri, Walter 23 Qiu, Jianxian 19 Luo, Hong 17 Liu, Tiegang 17 Winters, Andrew R. 16 Feireisl, Eduard 15 Montecinos, Gino I. 14 Loubère, Raphaël 14 Schütz, Jochen 14 Tang, Huazhong 14 Tavelli, Maurizio 13 Bassi, Francesco 13 Castro, Manuel J. 12 Capdeville, Guy 12 Cheng, Jian 12 Parés Madroñal, Carlos 11 Beck, Andrea D. 11 Christlieb, Andrew J. 11 Lombard, Bruno 11 Titarev, Vladimir A. 11 Zhu, Jun 10 Klein, Rupert 10 Rohde, Christian 10 Xu, Kun 9 Busto, Saray 9 Hidalgo, Arturo 9 Kopriva, David Alan 9 Nourgaliev, Robert R. 8 Abgrall, Rémi 8 Adams, Nikolaus A. 8 Botti, Lorenzo 8 Colombo, Alessandro G. 8 Dolejší, Vít 8 Ghidoni, Antonio 8 Hérard, Jean-Marc 8 Hindenlang, Florian J. 8 Kim, Chongam 8 Seal, David C. 8 Shadid, John N. 8 Tsoutsanis, Panagiotis 7 Li, Fengyan 7 Li, Jiequan 7 Lörcher, Frieder 7 Mendes, Odim Jun. 7 Schneider, Kai 7 Sonnendrücker, Eric 7 Wu, Kailiang 7 Zanotti, Olindo 7 Zeifang, Jonas 6 Chan, Jesse 6 Chandrashekar, Praveen 6 Cheng, Juan 6 Cyr, Eric C. 6 Drikakis, Dimitris 6 Gallardo, José M. 6 Garain, Sudip K. 6 Iben, Uwe 6 Kaiser, Klaus Hermann 6 Lukáčová-Medvid’ová, Mária 6 Murillo, Javier 6 Nkonga, Boniface 6 Novotný, Antonín 6 Pawlowski, Roger P. 6 Puppo, Gabriella 6 Ren, Yuxin 6 Semplice, Matteo 6 Wang, Qian 6 Xia, Yidong 5 Audit, Edouard 5 Crivellini, Andrea 5 Després, Bruno 5 Fambri, Francesco 5 Gaburro, Elena 5 Gomes, Anna Karina Fontes 5 Grote, Marcus J. 5 Groth, Clinton P. T. 5 Hesthaven, Jan S. 5 Hu, Lijun 5 Ivan, Lucian 5 Jackson, Haran 5 Jacobs, Gustaaf B. 5 Kitamura, Keiichi 5 Kronbichler, Martin 5 Kumar, Harish 5 Kuzmin, Dmitri 5 Lee, Dongwook 5 Li, Qibing 5 Li, Shengtai 5 Liu, Hailiang 5 Maire, Pierre-Henri 5 Massa, Francesco Carlo 5 Meyer, Fabian 5 Noelle, Sebastian 5 Nogueira, Xesús ...and 1,682 more Authors all top 5 Cited in 131 Serials 492 Journal of Computational Physics 169 Computers and Fluids 95 Journal of Scientific Computing 32 Computer Methods in Applied Mechanics and Engineering 27 Applied Mathematics and Computation 27 SIAM Journal on Scientific Computing 26 Communications in Computational Physics 23 Applied Numerical Mathematics 20 Journal of Computational and Applied Mathematics 17 Computers & Mathematics with Applications 17 International Journal for Numerical Methods in Fluids 14 Numerische Mathematik 11 International Journal of Computational Fluid Dynamics 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Computer Physics Communications 8 Journal of Fluid Mechanics 8 Mathematics of Computation 8 SIAM Journal on Numerical Analysis 8 European Journal of Mechanics. B. Fluids 7 International Journal for Numerical Methods in Engineering 7 Advances in Applied Mathematics and Mechanics 7 Communications on Applied Mathematics and Computation 6 Applied Mathematical Modelling 6 Matematicheskoe Modelirovanie 5 Mathematics and Computers in Simulation 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 4 Classical and Quantum Gravity 4 Fluid Dynamics 4 Mathematical Methods in the Applied Sciences 4 Wave Motion 4 Shock Waves 4 Numerical Methods for Partial Differential Equations 4 Advances in Computational Mathematics 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 International Journal of Applied Mathematics and Computer Science 4 Living Reviews in Relativity 4 International Journal of Computational Methods 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 BIT 3 Quarterly of Applied Mathematics 3 Computational and Applied Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Archives of Computational Methods in Engineering 3 Journal of Hyperbolic Differential Equations 3 Numerical Mathematics: Theory, Methods and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 SMAI Journal of Computational Mathematics 3 International Journal on Finite Volumes 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Journal of Engineering Mathematics 2 Journal of Mathematical Biology 2 Calcolo 2 Physica D 2 Applied Mathematics Letters 2 Applications of Mathematics 2 Numerical Algorithms 2 Communications in Partial Differential Equations 2 International Journal of Computer Mathematics 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 ETNA. Electronic Transactions on Numerical Analysis 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Nonlinear Analysis. Real World Applications 2 Communications in Applied Mathematics and Computational Science 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Astrophysics and Space Science 1 General Relativity and Gravitation 1 International Journal of Heat and Mass Transfer 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematische Semesterberichte 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Theoretical and Computational Fluid Dynamics 1 Bulletin of the Polish Academy of Sciences. Technical Sciences 1 ACM Transactions on Mathematical Software 1 Journal of Differential Equations 1 Kybernetika 1 Meccanica 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Computational Mathematics 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Continuum Mechanics and Thermodynamics 1 Communications in Numerical Methods in Engineering 1 Physics of Fluids 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Science in China. Series E 1 Computing and Visualization in Science 1 Revista Matemática Complutense 1 International Journal of Numerical Modelling 1 Journal of Mathematical Fluid Mechanics ...and 31 more Serials all top 5 Cited in 30 Fields 946 Fluid mechanics (76-XX) 826 Numerical analysis (65-XX) 375 Partial differential equations (35-XX) 52 Optics, electromagnetic theory (78-XX) 51 Mechanics of deformable solids (74-XX) 34 Geophysics (86-XX) 30 Statistical mechanics, structure of matter (82-XX) 23 Classical thermodynamics, heat transfer (80-XX) 21 Astronomy and astrophysics (85-XX) 17 Biology and other natural sciences (92-XX) 14 Relativity and gravitational theory (83-XX) 11 Computer science (68-XX) 7 Mechanics of particles and systems (70-XX) 6 Approximations and expansions (41-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 2 Special functions (33-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX) Citations by Year