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Manuel Torrilhon
Person information
- affiliation: RWTH Aachen University, Germany
- affiliation (PhD 2004): ETH Zurich, Switzerland
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2020 – today
- 2025
- [i12]Peter Lewintan, Lambert Theisen, Manuel Torrilhon:
Well-Posedness of the R13 Equations Using Tensor-Valued Korn Inequalities. CoRR abs/2501.14108 (2025) - 2024
- [j34]Daniel Doehring
, Michael Schlottke-Lakemper, Gregor J. Gassner, Manuel Torrilhon:
Multirate time-integration based on dynamic ODE partitioning through adaptively refined meshes for compressible fluid dynamics. J. Comput. Phys. 514: 113223 (2024) - [j33]Daniel Doehring
Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations. J. Sci. Comput. 99(1): 28 (2024) - [j32]Zhenning Cai
Linear Regularized 13-Moment Equations with Onsager Boundary Conditions for General Gas Molecules. SIAM J. Appl. Math. 84(1): 215-245 (2024) - [i11]Daniel Doehring, Gregor J. Gassner, Manuel Torrilhon:
Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations. CoRR abs/2402.12140 (2024) - [i10]Daniel Doehring, Michael Schlottke-Lakemper, Gregor J. Gassner, Manuel Torrilhon:
Multirate Time-Integration based on Dynamic ODE Partitioning through Adaptively Refined Meshes for Compressible Fluid Dynamics. CoRR abs/2403.05144 (2024) - [i9]Georgii Oblapenko
Entropy-conservative high-order methods for high-enthalpy gas flows. CoRR abs/2403.16882 (2024) - [i8]Eda Yilmaz, Georgii Oblapenko
On Nonlinear Closures for Moment Equations Based on Orthogonal Polynomials. CoRR abs/2407.05894 (2024) - [i7]Daniel Doehring, Lars Christmann, Michael Schlottke-Lakemper, Gregor J. Gassner, Manuel Torrilhon:
Fourth-Order Paired-Explicit Runge-Kutta Methods. CoRR abs/2408.05470 (2024) - 2023
- [j31]Fabian Mies
An efficient jump-diffusion approximation of the Boltzmann equation. J. Comput. Phys. 490: 112308 (2023) - [j30]Andrea Hanke
Representation Theory Based Algorithm to Compute Boltzmann's Bilinear Collision Operator in the Irreducible Spectral Burnett Ansatz Efficiently. J. Sci. Comput. 95(3): 78 (2023) - [i6]Mohsen Sadr, Manuel Torrilhon, M. Hossein Gorji:
Gaussian Process Regression for Maximum Entropy Distribution. CoRR abs/2308.06149 (2023) - 2021
- [j29]M. Hossein Gorji
Entropic Fokker-Planck kinetic model. J. Comput. Phys. 430: 110034 (2021) - [j28]Lambert Theisen
fenicsR13: A Tensorial Mixed Finite Element Solver for the Linear R13 Equations Using the FEniCS Computing Platform. ACM Trans. Math. Softw. 47(2): 17:1-17:29 (2021) - 2020
- [j27]Niclas Boehmer
Entropic quadrature for moment approximations of the Boltzmann-BGK equation. J. Comput. Phys. 401 (2020) - [j26]Neeraj Sarna, Harshit Kapadia
Simultaneous-approximation-term based boundary discretization for moment equations of rarefied gas dynamics. J. Comput. Phys. 407: 109243 (2020) - [j25]Mohsen Sadr
Gaussian Process Regression for Maximum Entropy Distribution. J. Comput. Phys. 418: 109644 (2020) - [j24]Neeraj Sarna, Jan Giesselmann
Convergence Analysis of Grad's Hermite Expansion for Linear Kinetic Equations. SIAM J. Numer. Anal. 58(2): 1164-1194 (2020) - [i5]Jonas Bünger, Neeraj Sarna, Manuel Torrilhon:
Stable Boundary Conditions and Discretization for PN Equations. CoRR abs/2004.02497 (2020) - [i4]Lambert Theisen
fenicsR13: A Tensorial Mixed Finite Element Solver for the Linear R13 Equations Using the FEniCS Computing Platform. CoRR abs/2007.05944 (2020)
2010 – 2019
- 2019
- [j23]Armin Westerkamp, Manuel Torrilhon
Finite element methods for the linear regularized 13-moment equations describing slow rarefied gas flows. J. Comput. Phys. 389: 1-21 (2019) - 2018
- [j22]Alexander Felix Beckmann
Evaporation Boundary Conditions for the Linear R13 Equations Based on the Onsager Theory. Entropy 20(9): 680 (2018) - [j21]Neeraj Sarna, Manuel Torrilhon
Entropy stable Hermite approximation of the linearised Boltzmann equation for inflow and outflow boundaries. J. Comput. Phys. 369: 16-44 (2018) - [j20]Zhenning Cai, Manuel Torrilhon
Numerical Simulation of Microflows Using Moment Methods with Linearized Collision Operator. J. Sci. Comput. 74(1): 336-374 (2018) - [j19]Julian Koellermeier
Two-Dimensional Simulation of Rarefied Gas Flows Using Quadrature-Based Moment Equations. Multiscale Model. Simul. 16(2): 1059-1084 (2018) - 2017
- [j18]Roman Pascal Schaerer, Pratyuksh Bansal
Efficient algorithms and implementations of entropy-based moment closures for rarefied gases. J. Comput. Phys. 340: 138-159 (2017) - [j17]Manuel Torrilhon
Hierarchical Boltzmann simulations and model error estimation. J. Comput. Phys. 342: 66-84 (2017) - [j16]Birte Schmidtmann, Manuel Torrilhon
A Hybrid Riemann Solver for Large Hyperbolic Systems of Conservation Laws. SIAM J. Sci. Comput. 39(6) (2017) - [i3]Birte Schmidtmann, Pawel Buchmüller, Manuel Torrilhon:
Third-order Limiting for Hyperbolic Conservation Laws applied to Adaptive Mesh Refinement and Non-Uniform 2D Grids. CoRR abs/1705.10608 (2017) - 2016
- [j15]Vinay Kumar Gupta
Reprint of: Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres. Comput. Math. Appl. 72(2): 271-287 (2016) - [j14]Birte Schmidtmann, Benjamin Seibold
Relations Between WENO3 and Third-Order Limiting in Finite Volume Methods. J. Sci. Comput. 68(2): 624-652 (2016) - [i2]Birte Schmidtmann, Mariia Astrakhantceva, Manuel Torrilhon:
Hybrid Riemann Solvers for Large Systems of Conservation Laws. CoRR abs/1606.08040 (2016) - [i1]Birte Schmidtmann, Manuel Torrilhon:
A Hybrid Riemann Solver for Large Hyperbolic Systems of Conservation Laws. CoRR abs/1607.05721 (2016) - 2015
- [j13]Vinay Kumar Gupta
Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres. Comput. Math. Appl. 70(1): 73-88 (2015) - [j12]Zhenning Cai, Manuel Torrilhon
Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models. J. Comput. Phys. 295: 617-643 (2015) - 2013
- [j11]Anirudh Singh Rana, Manuel Torrilhon
A robust numerical method for the R13 equations of rarefied gas dynamics: Application to lid driven cavity. J. Comput. Phys. 236: 169-186 (2013) - [j10]James McDonald, Manuel Torrilhon
Affordable robust moment closures for CFD based on the maximum-entropy hierarchy. J. Comput. Phys. 251: 500-523 (2013) - 2012
- [j9]Manuel Torrilhon
Krylov-Riemann Solver for Large Hyperbolic Systems of Conservation Laws. SIAM J. Sci. Comput. 34(4) (2012) - 2010
- [j8]Patrick Jenny, Manuel Torrilhon
A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion. J. Comput. Phys. 229(4): 1077-1098 (2010)
2000 – 2009
- 2009
- [j7]Miroslav Cada, Manuel Torrilhon
Compact third-order limiter functions for finite volume methods. J. Comput. Phys. 228(11): 4118-4145 (2009) - 2008
- [j6]Manuel Torrilhon
Boundary conditions for regularized 13-moment-equations for micro-channel-flows. J. Comput. Phys. 227(3): 1982-2011 (2008) - [j5]Robert Artebrant, Manuel Torrilhon
Increasing the accuracy in locally divergence-preserving finite volume schemes for MHD. J. Comput. Phys. 227(6): 3405-3427 (2008) - 2007
- [j4]Manuel Torrilhon
Essentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equations. Numerische Mathematik 106(2): 303-334 (2007) - 2006
- [j3]Manuel Torrilhon
Two-Dimensional Bulk Microflow Simulations Based on Regularized Grad's 13-Moment Equations. Multiscale Model. Simul. 5(3): 695-728 (2006) - 2005
- [j2]Manuel Torrilhon
Locally Divergence-preserving Upwind Finite Volume Schemes for Magnetohydrodynamic Equations. SIAM J. Sci. Comput. 26(4): 1166-1191 (2005) - 2004
- [j1]Manuel Torrilhon
Constraint-Preserving Upwind Methods for Multidimensional Advection Equations. SIAM J. Numer. Anal. 42(4): 1694-1728 (2004) - 2003
- [c1]Rolf Jeltsch, Manuel Torrilhon
Solenoidal Discrete Initialization for Magnetohydrodynamics. HPSC 2003: 235-253
Coauthor Index
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