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• Moment Equations for Diffusive Binary Gas Mixtures (pdf, 0.0 MB)
  V. Gupta and M. Torrilhon, submitted
  
  
• Convergence Study of Moment Approximations for Boundary Value Problems of the Boltzmann-BGK Equation (pdf, 0.0 MB)
  M. Torrilhon, submitted
  
  
• Affordable Robust Moment Closures for CFD Based on the Maximum-Entropy Hierarchy (pdf, 3.0 MB)
  J. McDonald and M. Torrilhon, J. Comput. Phys. 251, (2013), p.500-523
  
  
• Modeling of electric arcs: A study of the non-convective case with strong coupling (pdf, 1.5 MB)
  D. Wright, P. Delmont, and M. Torrilhon, J. Plasma Phys. 79/5, (2013), pp.699-713
  
  
• Regularized 13 Moment Equations for Hard Sphere molecules: I. Linear Bulk Equations (pdf, 0.5 MB)
  H. Struchtrup and M. Torrilhon, Phys. Fluids 25, (2013), 052001
  
  
• A robust numerical method for the R13 equations of rarefied gas dynamics: Application to lid driven cavity (pdf, 3.8 MB)
  A. Rana, M. Torrilhon, and H. Struchtrup, J. Comput. Phys. 236, (2013), p.169-186
  
  
• Krylov-Riemann-Solver for Large Systems of Hyperbolic Systems of Conservation Laws (pdf, 0.5 MB)
  M. Torrilhon, SIAM Sci. Comp. 34/(4), (2012), p.A2072–A2091
  
  
• H-Theorem for Nonlinear Regularized 13-Moment Equations in Kinetic Gas Theory (pdf, 0.4 MB)
  M. Torrilhon, Kinetic and Related Models 5/(1), (2012), p.185-201
  
  
• Heliostat field optimization: A new computationally efficient model and biomimetic layout (pdf, 1.2 MB)
  C. Noone, M. Torrilhon, and A. Mitsos, Solar Energy 86/(2), (2012), p.792-803
  
  
• Fokker-Planck Model for Heat Flux and Molecular Stresses in Rarefied Gas Flows (pdf, 1.1 MB)
  H. Gorji, M. Torrilhon, and P. Jenny J. Fluid Mech. 680, pp. 574–601, (2011)
  
  
• Comment on ‘‘Thermodynamically Admissible 13 Moment Equations from the Boltzmann Equation’’ (pdf, 0.1 MB)
  H. Struchtrup and M. Torrilhon, Phys. Rev. Let. 105, (2010), 128901
  
  
• Slow Rarefied Flow Past a Sphere: Analytical Solutions Based on Moment Equations (pdf, 4.0 MB)
  M. Torrilhon, Phys. Fluids 22, (2010), 072001
  
  
• Scale-Induced Closure for Approximations of Kinetic Equations (pdf, 1.6 MB)
  P. Kauf, M. Torrilhon, and M. Junk, J. Stat. Phys. 41, (2010), pp.848-888
  
  
• Application of Time-Reverse Modeling on Non-Destructive Testing (pdf, 1.4 MB)
  E. H. Saenger, G. K. Kocur, R. Jud, and M. Torrilhon, Appl. Math. Model. 35, (2010), pp.807-816
  
  
• A Solution Algorithm for the Fluid Dynamic Equations Based on a Stochastic Model for Molecular Motion (pdf, 2.2 MB)
  P. Jenny, M. Torrilhon and S. Heinz, J. Comput. Phys. 229, (2010), pp.1077-1098
  
  
• Hyperbolic Moment Equations in Kinetic Gas Theory Based on Multi-Variate Pearson-IV-Distributions (pdf, 0.5 MB)
  M. Torrilhon, Comm. Comput. Phys., 7(4), (2010), p.639-673
  
  
• Special Issues on Moment Methods in Kinetic Gas Theory (Editorial) (pdf, 0.1 MB)
  M. Torrilhon, Cont. Mech. Thermodyn. 21, (2009), p.341-343
  
  
• Macroscopic Description of Steady and Unsteady Rarefaction Effects in Boundary Value Problems of Gas Dynamics (pdf, 0.9 MB)
  P. Taheri, A. S. Rana, M. Torrilhon, and H. Struchtrup, Cont. Mech. Thermodyn. 21, (2009), p.423-443
  
  
• Couette and Poiseuille Microflows: Analytical Solutions for Regularized 13-moment Equations (pdf, 0.5 MB)
  P. Taheri, M. Torrilhon and H. Struchtrup, Phys. Fluids 21, (2009), 017102
  
  
• Compact Third Order Limiter Functions for Finite Volume Methods (pdf, 2.0 MB)
  M. Cada and M. Torrilhon, J. Comput. Phys. 228(11), (2009), p. 4118-4145
  
  
• Modeling Micro-Mass and -Heat Transfer in Gases Using Extended Continuum Equations (pdf, 0.3 MB)
  M. Torrilhon and H. Struchtrup, ASME J. Heat Transfer 131, (2009), 033103
  
  
• Higher-order effects in rarefied channel flows (pdf, 0.3 MB)
  H. Struchtrup and M. Torrilhon, Phys. Rev. E 78, (2008), 046301
  Erratum: Phys. Rev. E 78, (2008), 069903
  
  
• Boundary Conditions for Regularized 13-Moment-Equations for Micro-Channel-Flows (pdf, 2.1 MB)
  M. Torrilhon and H. Struchtrup, J. Comput. Phys. 227(3), (2008), pp.1982-2011
  
  
• Increasing the Accuracy in Locally Divergence-Preserving Finite-Volume-Schemes for MHD (pdf, 2.1 MB)
  R. Artebrant and M. Torrilhon, J. Comput. Phys. 227(6), (2008), pp.3405-3427
  
  
• H-Theorem, Regularization, and Boundary Conditions for Linearized 13-Moment-Equations (pdf, 0.3 MB)
  H. Struchtrup and M. Torrilhon, Phys. Rev. Lett. 99, (2007), 014502
  
  
• Essentially Optimal Explicit Runge-Kutta Methods with Application to Hyperbolic-Parabolic Equations (pdf, 1.0 MB)
  M. Torrilhon and R. Jeltsch, Numer. Math. 106, (2007), pp.303-334
  
  
• Two-dimensional Bulk Micro-Flow Simulations based on Regularized Grad's 13-Moment-Equations (pdf, 3.1 MB)
  M. Torrilhon, SIAM Multiscale Model. Sim. 5(3), (2006), pp.695-728
  
  
• On Curl-Preserving Finite Volume Discretizations for Shallow Water Equations (pdf, 1.0 MB)
  R. Jeltsch and M. Torrilhon, BIT 46(6), (2006), pp.35-53
  
  
• Consistency and Stability of Kinetic Upwinding for Advection-Diffusion Equation (pdf, 0.8 MB)
  M. Torrilhon and K. Xu, IMA J. Numer. Anal. 26, (2006), pp.686-722
  
  
• High Order WENO Schemes: Investigations on Non-Uniform Convergence for MHD Riemann Problems (pdf, 0.6 MB)
  M. Torrilhon and D. S. Balsara, J. Comput. Phys. 201, (2004), pp.586-600
  
  
• Locally Divergence-preserving Upwind Finite-Volume-Schemes for Magnetohydrodynamics (pdf, 1.0 MB)
  M. Torrilhon, SIAM J. Sci. Comp., 26/4 (2005), pp. 1166-1191
  
  
• Regularized 13-Moment-Equations: Shock Structure Calculations and Comparison to Burnett Models (pdf, 0.3 MB)
  M. Torrilhon and H. Struchtrup, J. Fluid Mech. 513, (2004), pp.171-198
  
  
• Constraint-preserving Upwind Methods for Multidimensional Advection Equations (pdf, 1.3 MB)
  M. Torrilhon and M. Fey, SIAM J. Num. Anal. 42/4, (2004), pp.1694-1728
  
  
• Regularization of Grad's 13-Moment-Equations: Derivation and Linear Analysis (pdf, 0.4 MB)
  H. Struchtrup and M. Torrilhon, Phys. Fluids 15/9, (2003), pp.2668-2680
  
  
• Uniqueness Conditions for Riemann Problems of Ideal Magnetohydrodynamics (pdf, 0.4 MB)
  M. Torrilhon, J. Plasma Phys. 69/3, (2003), pp.253-276
  
  
• Non-uniform Convergence of Finite Volume Schemes for Riemann Problems of Ideal Magnetohydrodynamics (pdf, 0.9 MB)
  M. Torrilhon, J. Comput. Phys. 192/1, (2003), pp.73-95
  
  
• Explicit Fluxes and Productions for Large Systems of the Moment Method Based on Extended Thermodynamics (pdf, 0.2 MB)
  M. Torrilhon, J. D. Au, and H. Struchtrup, Cont. Mech. Therm. 15/1, (2002), pp.97-111
  
  
• The Shocktube-Experiment in Extended Thermodynamics (pdf, 0.2 MB)
  J. D. Au, M. Torrilhon and W. Weiss, Phys. Fluids 13/8, (2001), pp. 2423-2432
  
  
• Waves and Dissipation in the 13-Moment-Case (pdf, 0.3 MB)
  M. Torrilhon, Cont. Mech. Therm. 12/5, (2000), pp. 289-301
  
  

• Regularized 13 Moment Equations for Hard Spheres (pdf, 0.2 MB)
  H. Struchtrup, M. Torrilhon
  in Rarefied Gas Dynamics, Proc. 28th Symposium on Rarefied Gas Dynamics in Zaragoza, Spain 2012, ed. by M. Mareschal et al., AIP Conference Proceedings 1501 (2012), p.199-206
  
  
• Numerical Solution of the Moment Equations Using Kinetic Flux-Splitting Schemes (pdf, 0.7 MB)
  A. Singh Rana, H. Struchtrup, M. Torrilhon
  in Rarefied Gas Dynamics, Proc. 28th Symposium on Rarefied Gas Dynamics in Zaragoza, Spain 2012, ed. by M. Mareschal et al., AIP Conference Proceedings 1501 (2012), p.287-293
  
  
• Slow Rarefied Gas Flow Past a Cylinder: Analytical Solution in Comparison to the Sphere (pdf, 0.8 MB)
  A. Westerkamp, M. Torrilhon
  in Rarefied Gas Dynamics, Proc. 28th Symposium on Rarefied Gas Dynamics in Zaragoza, Spain 2012, ed. by M. Mareschal et al., AIP Conference Proceedings 1501 (2012), p.207-214
  
  
• Robust Hyperbolic Moment Closures for CFD (pdf, 0.2 MB)
  J. McDonald, M. Torrilhon
  in Rarefied Gas Dynamics, Proc. 28th Symposium on Rarefied Gas Dynamics in Zaragoza, Spain 2012, ed. by M. Mareschal et al., AIP Conference Proceedings 1501 (2012), p.191-198
  
  
• Automated Boltzmann Collision Integrals for Moment Equations (pdf, 0.1 MB)
  V. Gupta, M. Torrilhon
  in Rarefied Gas Dynamics, Proc. 28th Symposium on Rarefied Gas Dynamics in Zaragoza, Spain 2012, ed. by M. Mareschal et al., AIP Conference Proceedings 1501 (2012), p.67-74
  
  
• Regularized Grad equations for multicomponent plasmas (pdf, 0.1 MB)
  T. Magin, G. Martins, M. Torrilhon
  in Rarefied Gas Dynamics, Proc. 27th Symposium on Rarefied Gas Dynamics in Pacific Grove, USA 2010, ed. by D. A. Levin et al., AIP Conference Proceedings 1333 (2011), p.99-104
  
  
• Scale-Induced Closure for Approximations of Kinetic Equations (pdf, 0.1 MB)
  M. Torrilhon, P. Kauf, C.D. Levermore, and M. Junk
  in Rarefied Gas Dynamics, Proc. 26th Symposium on Rarefied Gas Dynamics in Kyoto, Japan 2008, ed. by T. Abe, AIP Conference Proceedings 1084, (2009), p.123-128
  
  
• Uniqueness and Stability of a Reduced Electric Arc Model (pdf, 0.6 MB)
  M. Torrilhon, Proc. of the Intl. Congress on Indust. and Appl. Mathematics (ICIAM), 2007, Proc. Appl. Math. Mech. 7(1), (2007), p 1141301-1141302
  
  
• Micro Gas Dynamics Modeled by Regularized 13-Moment-Equations (pdf, 0.2 MB)
  M. Torrilhon and H. Struchtrup,
  IUTAM Symposium on Advances in Microfluidics and Nanofluidcs, Dresden, Germany, 2007, Conference Proceedings Springer, to appear
  
  
• Flexible Stability Domains for Explicit Runge-Kutta Methods (pdf, 0.8 MB)
  R. Jeltsch and M. Torrilhon,
  in Some Topics in Industrial and Applied Mathematics, CAM 8, ed. R. Jeltsch, T.-T. Li, and I. Sloan, Conference Proceedings World Scientific, Singapore (2007)
  
  
• Compact Third Order Logarithmic Limiting for Non-Linear Hyperbolic Conservation Laws (pdf, 0.3 MB)
  M. Cada, M. Torrilhon, and R. Jeltsch,
  Contribution to 11th Intl. Conference on Hyperbolic Problems in Lyon, France 2006, Conference Proceedings submitted
  
  
• Regularized 13-Moment-Equations (pdf, 1.9 MB)
  M. Torrilhon,
  in Rarefied Gas Dynamics, Proc. 25th Symposium on Rarefied Gas Dynamics in St.Petersburg, Russia 2006, ed. by M. S. Ivanov and A. K. Rebrov, Conference Proceedings Novosibirsk (2007)
  
  
• Couette Flow Solutions for Regularized 13-Moment-Equations (pdf, 1.2 MB)
  H. Struchtrup, T. Thatcher, and M. Torrilhon,
  in Rarefied Gas Dynamics, Proc. 25th Symposium on Rarefied Gas Dynamics in St.Petersburg, Russia 2006, ed. by M. S. Ivanov and A. K. Rebrov, Conference Proceedings Novosibirsk (2007)
  
  
• Numerical Pseudo-Convergence for a MHD Model System (pdf, 0.5 MB)
  M. Torrilhon,
  in Hyperbolic Problems: Theory, Numerics and Applications, Proc. 10th Intl. Conf. Hyperbolic Problems in Osaka, Japan 2004, ed. by F. Asakura et. al., Conference Proceedings, Yokohama Publishers, Yokohama (2006)
  
  
• Vorticity Preserving Finite Volume Method for the Wave Equation System (pdf, 0.4 MB)
  M. Fey and M. Torrilhon,
  in Hyperbolic Problems: Theory, Numerics and Applications, Proc. 10th Intl. Conf. Hyperbolic Problems in Osaka, Japan 2004, ed. by F. Asakura et. al., Conference Proceedings, Yokohama Publishers, Yokohama (2006)
  
  
• Regularized 13 Moment Equations for Rarefied Gas Flows (pdf, 0.4 MB)
  H. Struchtrup and M. Torrilhon,
  in Trend and Applications of Mathematics to Mechanics, Proc. Symposium on Trends and Applications of Mathematics to Mechanics in Naples, Italy 2002, ed. by S. Rionero and G. Romano, Conference Proceedings, Springer, Mailand (2005)
  
  
• Solenoidal Initial Conditions for Locally Divergence-free MHD Simulations (pdf, 1.4 MB)
  R. Jeltsch and M. Torrilhon,
  in Modeling, Simulation and Optimization of Complex Processes, Proc. Intl. Conference on High Performance Scientific Computing in Hanoi, Vietnam 2003, ed. by H.G. Bock, E. Kostina, H.X. Phu, and R. Rannacher, Conference Proceedings, Springer, Berlin (2005)
  
  
• A Constrained Transport Upwind Scheme for Divergence-free Advection (pdf, 0.4 MB)
  M. Fey and M. Torrilhon,
  in Hyperbolic Problems: Theory, Numerics and Applications, Proc. 9th Intl. Conf. Hyperbolic Problems in Pasadena, CA, USA 2002, ed. by T. Y. Hou and E. Tadmor, Conference Proceedings, Springer, New York (2003)
  
  
• Grad's 13-Moment-Case: A Continuum Model for the Transition Regime (pdf, 0.5 MB)
  M. Torrilhon,
  in Rarefied Gas Dynamics, Proc. 23rd Symposium on Rarefied Gas Dynamics in Whistler, BC, Canada 2002, ed. by A. D. Ketsdever and E. P. Muntz, AIP Conference Proceedings 633, AIP press, New York, (2003)
  
  
• Start-up Phase of a Shocktube by Extended Thermodynamics and Navier-Stokes-Fourier (pdf, 0.2 MB)
  M. Torrilhon, Proc. of the Annual Meeting of GAMM, Proc. Appl. Math. Mech. 1, (2002), pp.270-272
  
  
• The Riemann-Problem in Extended Thermodynamics (pdf, 0.3 MB)
  J. D. Au, D. Reitebuch, M. Torrilhon and W. Weiss,
  in Hyperbolic Problems: Theory, Numerics and Applications, Proc. 8th Intl. Conf. Hyperbolic Problems in Magdeburg, Germany 2000, ed. by H. Freistuhler and G. Warnecke, International Series in Numerical Mathematics 140/141, Birkhauser, Basel (2001)
  
  

• Numerical Simulations of High Current Arc in Circuit Breakers (pdf, 1.0 MB)
  P. Huguenot, H. Kumar, V. Wheatley, R. Jeltsch, C. Schwab, and M. Torrilhon, technical report 2008-15, Seminar for Applied Mathematics, ETH Zurich, (2008)
  
  
• Exact Solver and Uniqueness Conditions for Riemann Problems of Ideal Magnetohydrodynamics (pdf, 0.7 MB)
  M. Torrilhon, technical report 2002-06, Seminar for Applied Mathematics, ETH Zurich, (2002)
  
  

• Multi-Scale Approximation Models for the Boltzmann Equation
  P. Kauf, Dissertation 19875, ETH Zurich, (2011)
  
  
• Compact third-order limiter functions for finite volume methods
  M. Cada, Dissertation 18346, ETH Zurich, (2009)
  
  
• Three dimensional high current arc simulations for circuit breakers using real gas resistive magnetohydrodynamics
  H. Kumar, Dissertation 18460 , ETH Zurich, (2009)
  
  

• "Meine erste Diplomfeier-Rede" (pdf, 1.1 MB)
  Graduation Speech, D-MATH/D-PHYS, ETH Zurich (2008)
  
  
• Zur Numerik der idealen Magnetohydrodynamik (pdf, 9.6 MB)
  M. Torrilhon, Dissertation 15353, ETH Zurich, (2003)
  (published with Shaker Publishing, Aachen)
  
  
• Das Riemann-Problem in der Erweiterten Thermodynamik (pdf, 2.0 MB)
  M. Torrilhon, Diploma Thesis, Technical University Berlin, (1999)
  
  
• Thermodynamische Berechnung der Ausbreitung von Flammen (pdf, 1.3 MB)
  M. Torrilhon, Bachelor Thesis, Technical University Berlin, (1999)