Henneaux, David; Schrooyen, Pierre; Chatelain, Philippe; Magin, Thierry High-order enforcement of jumps conditions between compressible viscous phases: an extended interior penalty discontinuous Galerkin method for sharp interface simulation. (English) Zbl 07736329 Comput. Methods Appl. Mech. Eng. 415, Article ID 116215, 35 p. (2023). MSC: 76-XX 80-XX PDFBibTeX XMLCite \textit{D. Henneaux} et al., Comput. Methods Appl. Mech. Eng. 415, Article ID 116215, 35 p. (2023; Zbl 07736329) Full Text: DOI
Turek, Stefan; Mierka, Otto Numerical simulation and benchmarking of drops and bubbles. (English) Zbl 1475.76062 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 22, 419-465 (2021). MSC: 76M10 76M99 76T10 76D05 PDFBibTeX XMLCite \textit{S. Turek} and \textit{O. Mierka}, Handb. Numer. Anal. 22, 419--465 (2021; Zbl 1475.76062) Full Text: DOI Link
Piotrowska, Joanna; Miller, Jonah M.; Schnetter, Erik Spectral methods in the presence of discontinuities. (English) Zbl 1452.65282 J. Comput. Phys. 390, 527-547 (2019). MSC: 65M70 65M12 65Z05 PDFBibTeX XMLCite \textit{J. Piotrowska} et al., J. Comput. Phys. 390, 527--547 (2019; Zbl 1452.65282) Full Text: DOI arXiv
Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension. (English) Zbl 1410.76171 Comput. Fluids 169, 169-185 (2018). MSC: 76M10 65M60 76N15 76T10 PDFBibTeX XMLCite \textit{S. Fechter} et al., Comput. Fluids 169, 169--185 (2018; Zbl 1410.76171) Full Text: DOI
Neusser, J.; Schleper, V. Numerical schemes for the coupling of compressible and incompressible fluids in several space dimensions. (English) Zbl 1411.76092 Appl. Math. Comput. 304, 65-82 (2017). MSC: 76M12 65M08 76T10 PDFBibTeX XMLCite \textit{J. Neusser} and \textit{V. Schleper}, Appl. Math. Comput. 304, 65--82 (2017; Zbl 1411.76092) Full Text: DOI arXiv
Saye, Robert Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. I. (English) Zbl 1380.76045 J. Comput. Phys. 344, 647-682 (2017). MSC: 76M10 76T10 35J05 35J57 PDFBibTeX XMLCite \textit{R. Saye}, J. Comput. Phys. 344, 647--682 (2017; Zbl 1380.76045) Full Text: DOI
Dehghan, Mehdi; Najafi, Mahboubeh Numerical solution of a non-classical two-phase Stefan problem via radial basis function (RBF) collocation methods. (English) Zbl 1403.80037 Eng. Anal. Bound. Elem. 72, 111-127 (2016). MSC: 80M22 65M70 80A22 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Najafi}, Eng. Anal. Bound. Elem. 72, 111--127 (2016; Zbl 1403.80037) Full Text: DOI
Lu, Haitian; Zhu, Jun; Wang, Donghong; Zhao, Ning Runge-Kutta discontinuous Galerkin method with front tracking method for solving the compressible two-medium flow. (English) Zbl 1390.76335 Comput. Fluids 126, 1-11 (2016). MSC: 76M10 65M60 76T99 PDFBibTeX XMLCite \textit{H. Lu} et al., Comput. Fluids 126, 1--11 (2016; Zbl 1390.76335) Full Text: DOI
Zheng, Xiaoming; Lowengrub, John An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension. (English) Zbl 1357.65271 Adv. Comput. Math. 42, No. 5, 1225-1257 (2016). Reviewer: Tomas Vejchodsky (Praha) MSC: 65N30 35J25 35R05 76D07 76M10 65N12 92C17 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{J. Lowengrub}, Adv. Comput. Math. 42, No. 5, 1225--1257 (2016; Zbl 1357.65271) Full Text: DOI
Shukla, Ratnesh K. Nonlinear preconditioning for efficient and accurate interface capturing in simulation of multicomponent compressible flows. (English) Zbl 1349.65110 J. Comput. Phys. 276, 508-540 (2014). MSC: 65F08 76Txx 82C26 PDFBibTeX XMLCite \textit{R. K. Shukla}, J. Comput. Phys. 276, 508--540 (2014; Zbl 1349.65110) Full Text: DOI
Turek, Stefan; Mierka, Otto; Hysing, Shuren; Kuzmin, Dmitri Numerical study of a high order 3D FEM-level set approach for immiscible flow simulation. (English) Zbl 1311.76073 Repin, Sergei (ed.) et al., Numerical methods for differential equations, optimization, and technological problems. Dedicated to Professor P. Neittaanmäki on his 60th birthday. Selected papers based on the presentations at the ECCOMAS thematic conference computational analysis and optimization (CAO 2011), Jyväskylä, Finland, June 9–11, 2011. Dordrecht: Springer (ISBN 978-94-007-5287-0/hbk; 978-94-007-5288-7/ebook). Computational Methods in Applied Sciences (Springer) 27, 65-91 (2013). MSC: 76M10 65M60 76T99 PDFBibTeX XMLCite \textit{S. Turek} et al., in: Numerical methods for differential equations, optimization, and technological problems. Dedicated to Professor P. Neittaanmäki on his 60th birthday. Selected papers based on the presentations at the ECCOMAS thematic conference computational analysis and optimization (CAO 2011), Jyväskylä, Finland, June 9--11, 2011. Dordrecht: Springer. 65--91 (2013; Zbl 1311.76073) Full Text: DOI
Elgeti, S.; Sauerland, H.; Pauli, L.; Behr, M. On the usage of NURBS as interface representation in free-surface flows. (English) Zbl 1426.76254 Int. J. Numer. Methods Fluids 69, No. 1, 73-87 (2012). MSC: 76M10 76D27 76D45 65D17 PDFBibTeX XMLCite \textit{S. Elgeti} et al., Int. J. Numer. Methods Fluids 69, No. 1, 73--87 (2012; Zbl 1426.76254) Full Text: DOI