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
Bünger, Jonas; Sarna, Neeraj; Torrilhon, Manuel Stable boundary conditions and discretization for \(P_{\mathrm{N}}\) equations. (English) Zbl 1513.35056 J. Comput. Math. 40, No. 6, 979-1005 (2022). MSC: 35B35 35Q20 35L50 65M06 65M12 65M70 PDFBibTeX XMLCite \textit{J. Bünger} et al., J. Comput. Math. 40, No. 6, 979--1005 (2022; Zbl 1513.35056) 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
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
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
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
Koellermeier, Julian; Torrilhon, Manuel Numerical study of partially conservative moment equations in kinetic theory. (English) Zbl 1373.82079 Commun. Comput. Phys. 21, No. 4, 981-1011 (2017). MSC: 82C80 82C40 65M99 35L02 35Q20 35Q35 PDFBibTeX XMLCite \textit{J. Koellermeier} and \textit{M. Torrilhon}, Commun. Comput. Phys. 21, No. 4, 981--1011 (2017; Zbl 1373.82079) Full Text: DOI
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
Torrilhon, Manuel Modeling nonequilibrium gas flow based on moment equations. (English) Zbl 1356.76297 Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 48. Palo Alto, CA: Annual Reviews (ISBN 978-0-8243-0748-6/hbk). Annual Review of Fluid Mechanics 48, 429-458 (2016). MSC: 76P05 82C40 PDFBibTeX XMLCite \textit{M. Torrilhon}, Annu. Rev. Fluid Mech. 48, 429--458 (2016; Zbl 1356.76297) Full Text: DOI
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
Torrilhon, Manuel Convergence study of moment approximations for boundary value problems of the Boltzmann-BGK equation. (English) Zbl 1373.82037 Commun. Comput. Phys. 18, No. 3, 529-557 (2015). MSC: 82B40 76P05 35L65 35Q20 PDFBibTeX XMLCite \textit{M. Torrilhon}, Commun. Comput. Phys. 18, No. 3, 529--557 (2015; Zbl 1373.82037) Full Text: DOI Link
Gupta, Vinay Kumar; Torrilhon, Manuel Higher order moment equations for rarefied gas mixtures. (English) Zbl 1371.82088 Proc. A, R. Soc. Lond. 471, No. 2173, Article ID 20140754, 20 p. (2015). MSC: 82C40 35Q82 PDFBibTeX XMLCite \textit{V. K. Gupta} and \textit{M. Torrilhon}, Proc. A, R. Soc. Lond. 471, No. 2173, Article ID 20140754, 20 p. (2015; Zbl 1371.82088) 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
Torrilhon, Manuel H-theorem for nonlinear regularized 13-moment equations in kinetic gas theory. (English) Zbl 1252.82079 Kinet. Relat. Models 5, No. 1, 185-201 (2012). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 82C40 PDFBibTeX XMLCite \textit{M. Torrilhon}, Kinet. Relat. Models 5, No. 1, 185--201 (2012; Zbl 1252.82079) 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
Torrilhon, Manuel Hyperbolic moment equations in kinetic gas theory based on multi-variate Pearson-IV-distributions. (English) Zbl 1364.82050 Commun. Comput. Phys. 7, No. 4, 639-673 (2010). MSC: 82C40 35L60 35Q20 76P05 PDFBibTeX XMLCite \textit{M. Torrilhon}, Commun. Comput. Phys. 7, No. 4, 639--673 (2010; Zbl 1364.82050) Full Text: DOI Link
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
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, 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; Xu, Kun Stability and consistency of kinetic upwinding for advection-diffusion equations. (English) Zbl 1148.76041 IMA J. Numer. Anal. 26, No. 4, 686-722 (2006). MSC: 76M12 76M20 76M28 65M06 35K57 82C40 PDFBibTeX XMLCite \textit{M. Torrilhon} and \textit{K. Xu}, IMA J. Numer. Anal. 26, No. 4, 686--722 (2006; Zbl 1148.76041) Full Text: DOI Link
Torrilhon, M.; Struchtrup, H. Regularized 13-moment equations: shock structure calculations and comparison to Burnett models. (English) Zbl 1107.76069 J. Fluid Mech. 513, 171-198 (2004). MSC: 76P05 76L05 82C40 PDFBibTeX XMLCite \textit{M. Torrilhon} and \textit{H. Struchtrup}, J. Fluid Mech. 513, 171--198 (2004; Zbl 1107.76069) Full Text: DOI
Torrilhon, M.; Au, J. D.; Struchtrup, H. Explicit fluxes and productions for large systems of the moment method based on extended thermodynamics. (English) Zbl 1058.82017 Contin. Mech. Thermodyn. 15, No. 1, 97-111 (2003). MSC: 82C40 82C80 76P05 PDFBibTeX XMLCite \textit{M. Torrilhon} et al., Contin. Mech. Thermodyn. 15, No. 1, 97--111 (2003; Zbl 1058.82017) Full Text: DOI