Manuel Torrilhon

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 31

Top Topics

Conservation Laws

Boundary Conditions

Finite Element Methods

Top Venues

J. Comput. Phys.

J. Sci. Comput.

Comput. Math. Appl.

Publications

Georgii Oblapenko, Manuel Torrilhon
Entropy-conservative high-order methods for high-enthalpy gas flows. CoRR (2024)
Daniel Doehring, Gregor J. Gassner, Manuel Torrilhon
Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations. CoRR (2024)
Daniel Doehring, Gregor J. Gassner, Manuel Torrilhon
Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations. J. Sci. Comput. 99 (1) (2024)
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 (2024)
Eda Yilmaz, Georgii Oblapenko, Manuel Torrilhon
On Nonlinear Closures for Moment Equations Based on Orthogonal Polynomials. CoRR (2024)
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 (2024)
Zhenning Cai, Manuel Torrilhon, Siyao Yang
Linear Regularized 13-Moment Equations with Onsager Boundary Conditions for General Gas Molecules. SIAM J. Appl. Math. 84 (1) (2024)
Andrea Hanke, Manuel Torrilhon
Representation Theory Based Algorithm to Compute Boltzmann's Bilinear Collision Operator in the Irreducible Spectral Burnett Ansatz Efficiently. J. Sci. Comput. 95 (3) (2023)
Mohsen Sadr, Manuel Torrilhon, M. Hossein Gorji
Gaussian Process Regression for Maximum Entropy Distribution. CoRR (2023)
Fabian Mies, Mohsen Sadr, Manuel Torrilhon
An efficient jump-diffusion approximation of the Boltzmann equation. J. Comput. Phys. 490 (2023)
Lambert Theisen, Manuel Torrilhon
fenicsR13: A Tensorial Mixed Finite Element Solver for the Linear R13 Equations Using the FEniCS Computing Platform. ACM Trans. Math. Softw. 47 (2) (2021)
M. Hossein Gorji, Manuel Torrilhon
Entropic Fokker-Planck kinetic model. J. Comput. Phys. 430 (2021)
Mohsen Sadr, Manuel Torrilhon, M. Hossein Gorji
Gaussian Process Regression for Maximum Entropy Distribution. J. Comput. Phys. 418 (2020)
Neeraj Sarna, Jan Giesselmann, Manuel Torrilhon
Convergence Analysis of Grad's Hermite Expansion for Linear Kinetic Equations. SIAM J. Numer. Anal. 58 (2) (2020)
Jonas Bünger, Neeraj Sarna, Manuel Torrilhon
Stable Boundary Conditions and Discretization for PN Equations. CoRR (2020)
Lambert Theisen, Manuel Torrilhon
fenicsR13: A Tensorial Mixed Finite Element Solver for the Linear R13 Equations Using the FEniCS Computing Platform. CoRR (2020)
Niclas Boehmer, Manuel Torrilhon
Entropic quadrature for moment approximations of the Boltzmann-BGK equation. J. Comput. Phys. 401 (2020)
Neeraj Sarna, Harshit Kapadia, Manuel Torrilhon
Simultaneous-approximation-term based boundary discretization for moment equations of rarefied gas dynamics. J. Comput. Phys. 407 (2020)
Armin Westerkamp, Manuel Torrilhon
Finite element methods for the linear regularized 13-moment equations describing slow rarefied gas flows. J. Comput. Phys. 389 (2019)
Julian Koellermeier, Manuel Torrilhon
Two-Dimensional Simulation of Rarefied Gas Flows Using Quadrature-Based Moment Equations. Multiscale Model. Simul. 16 (2) (2018)
Zhenning Cai, Manuel Torrilhon
Numerical Simulation of Microflows Using Moment Methods with Linearized Collision Operator. J. Sci. Comput. 74 (1) (2018)
Alexander Felix Beckmann, Anirudh Singh Rana, Manuel Torrilhon, Henning Struchtrup
Evaporation Boundary Conditions for the Linear R13 Equations Based on the Onsager Theory. Entropy 20 (9) (2018)
Neeraj Sarna, Manuel Torrilhon
Entropy stable Hermite approximation of the linearised Boltzmann equation for inflow and outflow boundaries. J. Comput. Phys. 369 (2018)
Roman Pascal Schaerer, Pratyuksh Bansal, Manuel Torrilhon
Efficient algorithms and implementations of entropy-based moment closures for rarefied gases. J. Comput. Phys. 340 (2017)
Manuel Torrilhon, Neeraj Sarna
Hierarchical Boltzmann simulations and model error estimation. J. Comput. Phys. 342 (2017)
Birte Schmidtmann, Manuel Torrilhon
A Hybrid Riemann Solver for Large Hyperbolic Systems of Conservation Laws. SIAM J. Sci. Comput. 39 (6) (2017)
Birte Schmidtmann, Pawel Buchmüller, Manuel Torrilhon
Third-order Limiting for Hyperbolic Conservation Laws applied to Adaptive Mesh Refinement and Non-Uniform 2D Grids. CoRR (2017)
Birte Schmidtmann, Mariia Astrakhantceva, Manuel Torrilhon
Hybrid Riemann Solvers for Large Systems of Conservation Laws. CoRR (2016)
Birte Schmidtmann, B. Seibold, Manuel Torrilhon
Relations Between WENO3 and Third-Order Limiting in Finite Volume Methods. J. Sci. Comput. 68 (2) (2016)
Birte Schmidtmann, Manuel Torrilhon
A Hybrid Riemann Solver for Large Hyperbolic Systems of Conservation Laws. CoRR (2016)
Vinay Kumar Gupta, Manuel Torrilhon
Reprint of: Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres. Comput. Math. Appl. 72 (2) (2016)
Zhenning Cai, Manuel Torrilhon
Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models. J. Comput. Phys. 295 (2015)
Vinay Kumar Gupta, Manuel Torrilhon
Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres. Comput. Math. Appl. 70 (1) (2015)
Anirudh Singh Rana, Manuel Torrilhon, Henning Struchtrup
A robust numerical method for the R13 equations of rarefied gas dynamics: Application to lid driven cavity. J. Comput. Phys. 236 (2013)
James McDonald, Manuel Torrilhon
Affordable robust moment closures for CFD based on the maximum-entropy hierarchy. J. Comput. Phys. 251 (2013)
Manuel Torrilhon
Krylov-Riemann Solver for Large Hyperbolic Systems of Conservation Laws. SIAM J. Sci. Comput. 34 (4) (2012)
Patrick Jenny, Manuel Torrilhon, Stefan Heinz
A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion. J. Comput. Phys. 229 (4) (2010)
Miroslav Cada, Manuel Torrilhon
Compact third-order limiter functions for finite volume methods. J. Comput. Phys. 228 (11) (2009)
Robert Artebrant, Manuel Torrilhon
Increasing the accuracy in locally divergence-preserving finite volume schemes for MHD. J. Comput. Phys. 227 (6) (2008)
Manuel Torrilhon, Henning Struchtrup
Boundary conditions for regularized 13-moment-equations for micro-channel-flows. J. Comput. Phys. 227 (3) (2008)
Manuel Torrilhon, Rolf Jeltsch
Essentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equations. Numerische Mathematik 106 (2) (2007)
Manuel Torrilhon
Two-Dimensional Bulk Microflow Simulations Based on Regularized Grad's 13-Moment Equations. Multiscale Model. Simul. 5 (3) (2006)
Manuel Torrilhon
Locally Divergence-preserving Upwind Finite Volume Schemes for Magnetohydrodynamic Equations. SIAM J. Sci. Comput. 26 (4) (2005)
Manuel Torrilhon, M. Fey
Constraint-Preserving Upwind Methods for Multidimensional Advection Equations. SIAM J. Numer. Anal. 42 (4) (2004)
Rolf Jeltsch, Manuel Torrilhon
Solenoidal Discrete Initialization for Magnetohydrodynamics. HPSC (2003)