Cai, Zhenning; Torrilhon, Manuel; Yang, Siyao Linear regularized 13-moment equations with Onsager boundary conditions for general gas molecules. (English) Zbl 07809919 SIAM J. Appl. Math. 84, No. 1, 215-245 (2024). MSC: 76P05 82B40 82D05 PDFBibTeX XMLCite \textit{Z. Cai} et al., SIAM J. Appl. Math. 84, No. 1, 215--245 (2024; Zbl 07809919) Full Text: DOI arXiv
Mies, Fabian; Sadr, Mohsen; Torrilhon, Manuel An efficient jump-diffusion approximation of the Boltzmann equation. (English) Zbl 07715238 J. Comput. Phys. 490, Article ID 112308, 21 p. (2023). MSC: 76Pxx 82Cxx 35Qxx PDFBibTeX XMLCite \textit{F. Mies} et al., J. Comput. Phys. 490, Article ID 112308, 21 p. (2023; Zbl 07715238) Full Text: DOI arXiv
Bünger, Jonas; Christhuraj, Edilbert; Hanke, Andrea; Torrilhon, Manuel Structured derivation of moment equations and stable boundary conditions with an introduction to symmetric, trace-free tensors. (English) Zbl 1517.76057 Kinet. Relat. Models 16, No. 3, 458-494 (2023). MSC: 76P05 76M28 76N15 15A72 PDFBibTeX XMLCite \textit{J. Bünger} et al., Kinet. Relat. Models 16, No. 3, 458--494 (2023; Zbl 1517.76057) Full Text: DOI
Hanke, Andrea; Torrilhon, Manuel Representation theory based algorithm to compute Boltzmann’s bilinear collision operator in the irreducible spectral Burnett ansatz efficiently. (English) Zbl 1523.76084 J. Sci. Comput. 95, No. 3, Paper No. 78, 39 p. (2023). MSC: 76P05 76M22 PDFBibTeX XMLCite \textit{A. Hanke} and \textit{M. Torrilhon}, J. Sci. Comput. 95, No. 3, Paper No. 78, 39 p. (2023; Zbl 1523.76084) Full Text: DOI
Gorji, M. Hossein; Torrilhon, Manuel Entropic Fokker-Planck kinetic model. (English) Zbl 07506514 J. Comput. Phys. 430, Article ID 110034, 16 p. (2021). MSC: 76Pxx 82Cxx 35Qxx PDFBibTeX XMLCite \textit{M. H. Gorji} and \textit{M. Torrilhon}, J. Comput. Phys. 430, Article ID 110034, 16 p. (2021; Zbl 07506514) Full Text: DOI
Sarna, Neeraj; Oblapenko, Georgii; Torrilhon, Manuel Moment method for the Boltzmann equation of reactive quaternary gaseous mixture. (English) Zbl 07460582 Physica A 574, Article ID 125874, 19 p. (2021). MSC: 82-XX PDFBibTeX XMLCite \textit{N. Sarna} et al., Physica A 574, Article ID 125874, 19 p. (2021; Zbl 07460582) Full Text: DOI arXiv
Rana, Anirudh S.; Gupta, Vinay Kumar; Sprittles, James E.; Torrilhon, Manuel \(H\)-theorem and boundary conditions for the linear R26 equations: application to flow past an evaporating droplet. (English) Zbl 1473.76066 J. Fluid Mech. 924, Paper No. A16, 42 p. (2021). MSC: 76T10 76P05 82B40 82B26 PDFBibTeX XMLCite \textit{A. S. Rana} et al., J. Fluid Mech. 924, Paper No. A16, 42 p. (2021; Zbl 1473.76066) Full Text: DOI arXiv
Sadr, Mohsen; Torrilhon, Manuel; Gorji, M. Hossein Gaussian process regression for maximum entropy distribution. (English) Zbl 07506193 J. Comput. Phys. 418, Article ID 109644, 15 p. (2020). MSC: 62-XX 60-XX PDFBibTeX XMLCite \textit{M. Sadr} et al., J. Comput. Phys. 418, Article ID 109644, 15 p. (2020; Zbl 07506193) Full Text: DOI Link
Sarna, Neeraj; Kapadia, Harshit; Torrilhon, Manuel Simultaneous-approximation-term based boundary discretization for moment equations of rarefied gas dynamics. (English) Zbl 07504713 J. Comput. Phys. 407, Article ID 109243, 31 p. (2020). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{N. Sarna} et al., J. Comput. Phys. 407, Article ID 109243, 31 p. (2020; Zbl 07504713) Full Text: DOI
Öttinger, Hans Christian; Struchtrup, Henning; Torrilhon, Manuel Formulation of moment equations for rarefied gases within two frameworks of non-equilibrium thermodynamics: RET and GENERIC. (English) Zbl 1462.82057 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2170, Article ID 20190174, 17 p. (2020). MSC: 82C40 82C70 PDFBibTeX XMLCite \textit{H. C. Öttinger} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2170, Article ID 20190174, 17 p. (2020; Zbl 1462.82057) Full Text: DOI
Böhmer, Niclas; Torrilhon, Manuel Entropic quadrature for moment approximations of the Boltzmann-BGK equation. (English) Zbl 1453.76061 J. Comput. Phys. 401, Article ID 108992, 25 p. (2020). MSC: 76M10 76M12 76P05 PDFBibTeX XMLCite \textit{N. Böhmer} and \textit{M. Torrilhon}, J. Comput. Phys. 401, Article ID 108992, 25 p. (2020; Zbl 1453.76061) Full Text: DOI
Sarna, Neeraj; Giesselmann, Jan; Torrilhon, Manuel Convergence analysis of Grad’s Hermite expansion for linear kinetic equations. (English) Zbl 1436.65150 SIAM J. Numer. Anal. 58, No. 2, 1164-1194 (2020). MSC: 65M70 65M12 65Z05 35Q20 82C40 76P05 PDFBibTeX XMLCite \textit{N. Sarna} et al., SIAM J. Numer. Anal. 58, No. 2, 1164--1194 (2020; Zbl 1436.65150) Full Text: DOI arXiv
Westerkamp, A.; Torrilhon, M. Finite element methods for the linear regularized 13-moment equations describing slow rarefied gas flows. (English) Zbl 1452.76104 J. Comput. Phys. 389, 1-21 (2019). MSC: 76M10 76P05 65M60 65M12 PDFBibTeX XMLCite \textit{A. Westerkamp} and \textit{M. Torrilhon}, J. Comput. Phys. 389, 1--21 (2019; Zbl 1452.76104) Full Text: DOI
Gupta, Vinay Kumar; Shukla, Priyanka; Torrilhon, Manuel Higher-order moment theories for dilute granular gases of smooth hard spheres. (English) Zbl 1419.76673 J. Fluid Mech. 836, 451-501 (2018). MSC: 76T25 76P05 76T15 PDFBibTeX XMLCite \textit{V. K. Gupta} et al., J. Fluid Mech. 836, 451--501 (2018; Zbl 1419.76673) Full Text: DOI arXiv
Sarna, Neeraj; Torrilhon, Manuel Entropy stable Hermite approximation of the linearised Boltzmann equation for inflow and outflow boundaries. (English) Zbl 1392.76051 J. Comput. Phys. 369, 16-44 (2018). MSC: 76M25 76P05 35Q20 15A63 PDFBibTeX XMLCite \textit{N. Sarna} and \textit{M. Torrilhon}, J. Comput. Phys. 369, 16--44 (2018; Zbl 1392.76051) Full Text: DOI
Sarna, Neeraj; Torrilhon, Manuel On stable wall boundary conditions for the Hermite discretization of the linearised Boltzmann equation. (English) Zbl 1388.35139 J. Stat. Phys. 170, No. 1, 101-126 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q20 76N15 76P05 35L50 35B35 PDFBibTeX XMLCite \textit{N. Sarna} and \textit{M. Torrilhon}, J. Stat. Phys. 170, No. 1, 101--126 (2018; Zbl 1388.35139) Full Text: DOI
Cai, Zhenning; Torrilhon, Manuel Numerical simulation of microflows using moment methods with linearized collision operator. (English) Zbl 1404.65082 J. Sci. Comput. 74, No. 1, 336-374 (2018). MSC: 65M06 35Q20 76P05 82C40 PDFBibTeX XMLCite \textit{Z. Cai} and \textit{M. Torrilhon}, J. Sci. Comput. 74, No. 1, 336--374 (2018; Zbl 1404.65082) Full Text: DOI
Koellermeier, J.; Torrilhon, M. Numerical solution of hyperbolic moment models for the Boltzmann equation. (English) Zbl 1408.76454 Eur. J. Mech., B, Fluids 64, 41-46 (2017). MSC: 76P05 82C40 35Q20 PDFBibTeX XMLCite \textit{J. Koellermeier} and \textit{M. Torrilhon}, Eur. J. Mech., B, Fluids 64, 41--46 (2017; Zbl 1408.76454) Full Text: DOI
Schaerer, Roman Pascal; Torrilhon, Manuel The 35-moment system with the maximum-entropy closure for rarefied gas flows. (English) Zbl 1408.76459 Eur. J. Mech., B, Fluids 64, 30-40 (2017). MSC: 76P05 35L45 35L60 35L65 35L67 82C40 PDFBibTeX XMLCite \textit{R. P. Schaerer} and \textit{M. Torrilhon}, Eur. J. Mech., B, Fluids 64, 30--40 (2017; Zbl 1408.76459) Full Text: DOI
Torrilhon, Manuel; Sarna, Neeraj Hierarchical Boltzmann simulations and model error estimation. (English) Zbl 1376.76060 J. Comput. Phys. 342, 66-84 (2017). MSC: 76P05 76N15 65M60 PDFBibTeX XMLCite \textit{M. Torrilhon} and \textit{N. Sarna}, J. Comput. Phys. 342, 66--84 (2017; Zbl 1376.76060) Full Text: DOI
Schaerer, Roman Pascal; Bansal, Pratyuksh; Torrilhon, Manuel Efficient algorithms and implementations of entropy-based moment closures for rarefied gases. (English) Zbl 1376.76059 J. Comput. Phys. 340, 138-159 (2017). MSC: 76P05 76M12 PDFBibTeX XMLCite \textit{R. P. Schaerer} et al., J. Comput. Phys. 340, 138--159 (2017; Zbl 1376.76059) Full Text: DOI
Schmidtmann, Birte; Torrilhon, Manuel A hybrid Riemann solver for large hyperbolic systems of conservation laws. (English) Zbl 1379.65070 SIAM J. Sci. Comput. 39, No. 6, A2911-A2934 (2017). MSC: 65M08 35L05 76W05 76M12 PDFBibTeX XMLCite \textit{B. Schmidtmann} and \textit{M. Torrilhon}, SIAM J. Sci. Comput. 39, No. 6, A2911--A2934 (2017; Zbl 1379.65070) Full Text: DOI arXiv
Westerkamp, Armin; Torrilhon, Manuel Curvature-induced instability of a Stokes-like problem with non-standard boundary conditions. (English) Zbl 06770903 Appl. Numer. Math. 121, 96-114 (2017). MSC: 65-XX PDFBibTeX XMLCite \textit{A. Westerkamp} and \textit{M. Torrilhon}, Appl. Numer. Math. 121, 96--114 (2017; Zbl 06770903) Full Text: DOI
Gupta, Vinay Kumar; Torrilhon, Manuel Reprint of: “Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres”. (English) Zbl 1357.76078 Comput. Math. Appl. 72, No. 2, 271-287 (2016). MSC: 76N15 76M28 80A30 01A75 PDFBibTeX XMLCite \textit{V. K. Gupta} and \textit{M. Torrilhon}, Comput. Math. Appl. 72, No. 2, 271--287 (2016; Zbl 1357.76078) Full Text: DOI
Fan, Yuwei; Koellermeier, Julian; Li, Jun; Li, Ruo; Torrilhon, Manuel Model reduction of kinetic equations by operator projection. (English) Zbl 1335.35175 J. Stat. Phys. 162, No. 2, 457-486 (2016). MSC: 35Q20 35B65 PDFBibTeX XMLCite \textit{Y. Fan} et al., J. Stat. Phys. 162, No. 2, 457--486 (2016; Zbl 1335.35175) Full Text: DOI arXiv
Gupta, Vinay Kumar; Torrilhon, Manuel Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres. (English) Zbl 1443.82013 Comput. Math. Appl. 70, No. 1, 73-88 (2015). MSC: 82C40 35Q20 PDFBibTeX XMLCite \textit{V. K. Gupta} and \textit{M. Torrilhon}, Comput. Math. Appl. 70, No. 1, 73--88 (2015; Zbl 1443.82013) Full Text: DOI
Cai, Zhenning; Torrilhon, Manuel Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models. (English) Zbl 1349.76782 J. Comput. Phys. 295, 617-643 (2015). MSC: 76P05 65M70 35Q20 45K05 76M28 65R20 82D05 PDFBibTeX XMLCite \textit{Z. Cai} and \textit{M. Torrilhon}, J. Comput. Phys. 295, 617--643 (2015; Zbl 1349.76782) Full Text: DOI
Koellermeier, Julian; Schaerer, Roman Pascal; Torrilhon, Manuel A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods. (English) Zbl 1304.35475 Kinet. Relat. Models 7, No. 3, 531-549 (2014). MSC: 35Q20 35Q35 PDFBibTeX XMLCite \textit{J. Koellermeier} et al., Kinet. Relat. Models 7, No. 3, 531--549 (2014; Zbl 1304.35475) Full Text: DOI
McDonald, James; Torrilhon, Manuel Affordable robust moment closures for CFD based on the maximum-entropy hierarchy. (English) Zbl 1349.82057 J. Comput. Phys. 251, 500-523 (2013). MSC: 82C40 76P05 PDFBibTeX XMLCite \textit{J. McDonald} and \textit{M. Torrilhon}, J. Comput. Phys. 251, 500--523 (2013; Zbl 1349.82057) Full Text: DOI
Rana, Anirudh; Torrilhon, Manuel; Struchtrup, Henning A robust numerical method for the R13 equations of rarefied gas dynamics: application to lid driven cavity. (English) Zbl 1286.76130 J. Comput. Phys. 236, 169-186 (2013). MSC: 76P05 76M20 65N15 PDFBibTeX XMLCite \textit{A. Rana} et al., J. Comput. Phys. 236, 169--186 (2013; Zbl 1286.76130) Full Text: DOI
Gorji, M. H.; Torrilhon, M.; Jenny, P. Fokker-Planck model for computational studies of monatomic rarefied gas flows. (English) Zbl 1241.76342 J. Fluid Mech. 680, 574-601 (2011). MSC: 76P05 76M35 PDFBibTeX XMLCite \textit{M. H. Gorji} et al., J. Fluid Mech. 680, 574--601 (2011; Zbl 1241.76342) Full Text: DOI
Kauf, Peter; Torrilhon, Manuel; Junk, Michael Scale-induced closure for approximations of kinetic equations. (English) Zbl 1213.82070 J. Stat. Phys. 141, No. 5, 848-888 (2010). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 76A02 65Z05 PDFBibTeX XMLCite \textit{P. Kauf} et al., J. Stat. Phys. 141, No. 5, 848--888 (2010; Zbl 1213.82070) Full Text: DOI Link
Torrilhon, Manuel Slow gas microflow past a sphere: analytical solution based on moment equations. (English) Zbl 1190.76123 Phys. Fluids 22, No. 7, Paper No. 072001, 16 p. (2010). MSC: 76-XX PDFBibTeX XMLCite \textit{M. Torrilhon}, Phys. Fluids 22, No. 7, Paper No. 072001, 16 p. (2010; Zbl 1190.76123) Full Text: DOI
Jenny, Patrick; Torrilhon, Manuel; Heinz, Stefan A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion. (English) Zbl 1285.76031 J. Comput. Phys. 229, No. 4, 1077-1098 (2010). MSC: 76M28 65C05 35Q84 PDFBibTeX XMLCite \textit{P. Jenny} et al., J. Comput. Phys. 229, No. 4, 1077--1098 (2010; Zbl 1285.76031) Full Text: DOI
Taheri, Peyman; Torrilhon, Manuel; Struchtrup, Henning Couette and poiseuille microflows: analytical solutions for regularized 13-moment equations. (English) Zbl 1183.76503 Phys. Fluids 21, No. 1, Paper No. 017102, 11 p. (2009). MSC: 76-XX PDFBibTeX XMLCite \textit{P. Taheri} et al., Phys. Fluids 21, No. 1, Paper No. 017102, 11 p. (2009; Zbl 1183.76503) Full Text: DOI
Taheri, P.; Rana, A. S.; Torrilhon, M.; Struchtrup, H. Macroscopic description of steady and unsteady rarefaction effects in boundary value problems of gas dynamics. (English) Zbl 1184.76844 Contin. Mech. Thermodyn. 21, No. 6, 423-443 (2009). MSC: 76P05 82B40 PDFBibTeX XMLCite \textit{P. Taheri} et al., Contin. Mech. Thermodyn. 21, No. 6, 423--443 (2009; Zbl 1184.76844) Full Text: DOI
Torrilhon, Manuel; Struchtrup, Henning Boundary conditions for regularized 13-moment-equations for micro-channel-flows. (English) Zbl 1132.76049 J. Comput. Phys. 227, No. 3, 1982-2011 (2008). MSC: 76P05 76M20 PDFBibTeX XMLCite \textit{M. Torrilhon} and \textit{H. Struchtrup}, J. Comput. Phys. 227, No. 3, 1982--2011 (2008; Zbl 1132.76049) Full Text: DOI
Struchtrup, Henning; Torrilhon, Manuel Regularization of grad’s 13 moment equations: derivation and linear analysis. (English) Zbl 1186.76504 Phys. Fluids 15, No. 9, Paper No. 2668, 13 p. (2003). MSC: 76-XX PDFBibTeX XMLCite \textit{H. Struchtrup} and \textit{M. Torrilhon}, Phys. Fluids 15, No. 9, Paper No. 2668, 13 p. (2003; Zbl 1186.76504) Full Text: DOI Link