Manuel Torrilhon

According to our database, Manuel Torrilhon authored at least 41 papers between 2003 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations.

Daniel Doehring, Gregor J. Gassner, Manuel Torrilhon

J. Sci. Comput., April, 2024

Linear Regularized 13-Moment Equations with Onsager Boundary Conditions for General Gas Molecules.

Zhenning Cai, Manuel Torrilhon, Siyao Yang

SIAM J. Appl. Math., February, 2024

Multirate time-integration based on dynamic ODE partitioning through adaptively refined meshes for compressible fluid dynamics.

Daniel Doehring, Michael Schlottke-Lakemper, Gregor J. Gassner, Manuel Torrilhon

J. Comput. Phys., 2024

Fourth-Order Paired-Explicit Runge-Kutta Methods.

Daniel Doehring, Lars Christmann, Michael Schlottke-Lakemper, Gregor J. Gassner, Manuel Torrilhon

CoRR, 2024

On Nonlinear Closures for Moment Equations Based on Orthogonal Polynomials.

Eda Yilmaz, Georgii Oblapenko, Manuel Torrilhon

CoRR, 2024

Entropy-conservative high-order methods for high-enthalpy gas flows.

Georgii Oblapenko, Manuel Torrilhon

CoRR, 2024

2023

Representation Theory Based Algorithm to Compute Boltzmann's Bilinear Collision Operator in the Irreducible Spectral Burnett Ansatz Efficiently.

Andrea Hanke, Manuel Torrilhon

J. Sci. Comput., June, 2023

An efficient jump-diffusion approximation of the Boltzmann equation.

Fabian Mies, Mohsen Sadr, Manuel Torrilhon

J. Comput. Phys., 2023

2021

fenicsR13: A Tensorial Mixed Finite Element Solver for the Linear R13 Equations Using the FEniCS Computing Platform.

Lambert Theisen, Manuel Torrilhon

ACM Trans. Math. Softw., 2021

Entropic Fokker-Planck kinetic model.

M. Hossein Gorji, Manuel Torrilhon

J. Comput. Phys., 2021

2020

Convergence Analysis of Grad's Hermite Expansion for Linear Kinetic Equations.

Neeraj Sarna, Jan Giesselmann, Manuel Torrilhon

SIAM J. Numer. Anal., 2020

Simultaneous-approximation-term based boundary discretization for moment equations of rarefied gas dynamics.

Neeraj Sarna, Harshit Kapadia, Manuel Torrilhon

J. Comput. Phys., 2020

Gaussian Process Regression for Maximum Entropy Distribution.

Mohsen Sadr, Manuel Torrilhon, M. Hossein Gorji

J. Comput. Phys., 2020

Entropic quadrature for moment approximations of the Boltzmann-BGK equation.

Niclas Boehmer, Manuel Torrilhon

J. Comput. Phys., 2020

Stable Boundary Conditions and Discretization for PN Equations.

Jonas Bünger, Neeraj Sarna, Manuel Torrilhon

CoRR, 2020

2019

Finite element methods for the linear regularized 13-moment equations describing slow rarefied gas flows.

Armin Westerkamp, Manuel Torrilhon

J. Comput. Phys., 2019

2018

Two-Dimensional Simulation of Rarefied Gas Flows Using Quadrature-Based Moment Equations.

Julian Koellermeier, Manuel Torrilhon

Multiscale Model. Simul., 2018

Numerical Simulation of Microflows Using Moment Methods with Linearized Collision Operator.

Zhenning Cai, Manuel Torrilhon

J. Sci. Comput., 2018

Entropy stable Hermite approximation of the linearised Boltzmann equation for inflow and outflow boundaries.

Neeraj Sarna, Manuel Torrilhon

J. Comput. Phys., 2018

Evaporation Boundary Conditions for the Linear R13 Equations Based on the Onsager Theory.

Alexander Felix Beckmann, Anirudh Singh Rana, Manuel Torrilhon, Henning Struchtrup

Entropy, 2018

2017

A Hybrid Riemann Solver for Large Hyperbolic Systems of Conservation Laws.

Birte Schmidtmann, Manuel Torrilhon

SIAM J. Sci. Comput., 2017

Hierarchical Boltzmann simulations and model error estimation.

Manuel Torrilhon, Neeraj Sarna

J. Comput. Phys., 2017

Efficient algorithms and implementations of entropy-based moment closures for rarefied gases.

Roman Pascal Schaerer, Pratyuksh Bansal, Manuel Torrilhon

J. Comput. Phys., 2017

Third-order Limiting for Hyperbolic Conservation Laws applied to Adaptive Mesh Refinement and Non-Uniform 2D Grids.

Birte Schmidtmann, Pawel Buchmüller, Manuel Torrilhon

CoRR, 2017

2016

Relations Between WENO3 and Third-Order Limiting in Finite Volume Methods.

Birte Schmidtmann, Benjamin Seibold, Manuel Torrilhon

J. Sci. Comput., 2016

Hybrid Riemann Solvers for Large Systems of Conservation Laws.

Birte Schmidtmann, Mariia Astrakhantceva, Manuel Torrilhon

CoRR, 2016

Reprint of: Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres.

Vinay Kumar Gupta, Manuel Torrilhon

Comput. Math. Appl., 2016

2015

Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models.

Zhenning Cai, Manuel Torrilhon

J. Comput. Phys., 2015

Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres.

Vinay Kumar Gupta, Manuel Torrilhon

Comput. Math. Appl., 2015

2013

A robust numerical method for the R13 equations of rarefied gas dynamics: Application to lid driven cavity.

Anirudh Singh Rana, Manuel Torrilhon, Henning Struchtrup

J. Comput. Phys., 2013

Affordable robust moment closures for CFD based on the maximum-entropy hierarchy.

James McDonald, Manuel Torrilhon

J. Comput. Phys., 2013

2012

Krylov-Riemann Solver for Large Hyperbolic Systems of Conservation Laws.

Manuel Torrilhon

SIAM J. Sci. Comput., 2012

2010

A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion.

Patrick Jenny, Manuel Torrilhon, Stefan Heinz

J. Comput. Phys., 2010

2009

Compact third-order limiter functions for finite volume methods.

Miroslav Cada, Manuel Torrilhon

J. Comput. Phys., 2009

2008

Boundary conditions for regularized 13-moment-equations for micro-channel-flows.

Manuel Torrilhon, Henning Struchtrup

J. Comput. Phys., 2008

Increasing the accuracy in locally divergence-preserving finite volume schemes for MHD.

Robert Artebrant, Manuel Torrilhon

J. Comput. Phys., 2008

2007

Essentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equations.

Manuel Torrilhon, Rolf Jeltsch

Numerische Mathematik, 2007

2006

Two-Dimensional Bulk Microflow Simulations Based on Regularized Grad's 13-Moment Equations.

Manuel Torrilhon

Multiscale Model. Simul., 2006

2005

Locally Divergence-preserving Upwind Finite Volume Schemes for Magnetohydrodynamic Equations.

Manuel Torrilhon

SIAM J. Sci. Comput., 2005

2004

Constraint-Preserving Upwind Methods for Multidimensional Advection Equations.

Manuel Torrilhon, M. Fey

SIAM J. Numer. Anal., 2004

2003

Solenoidal Discrete Initialization for Magnetohydrodynamics.

Rolf Jeltsch, Manuel Torrilhon

Proceedings of the Modeling, 2003