Deviational particle Monte Carlo for the Boltzmann equation

DOI10.1515/MCMA.2008.010zbMath1158.82002MaRDI QIDQ3529869

Wolfgang Wagner

Publication date: 14 October 2008

Published in: Monte Carlo Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

Monte Carlo methodBoltzmann equationdeviational particlesreference Maxwellian

Mathematics Subject Classification ID

Related Items (11)

A parallel Runge-Kutta discontinuous Galerkin solver for rarefied gas flows based on 2D Boltzmann kinetic equations ⋮ Solving model kinetic equations on GPUs ⋮ A random cloud model for the Wigner equation ⋮ Variance reduced particle solution of the Fokker-Planck equation with application to rarefied gas and plasma dynamics ⋮ Solving the Boltzmann equation on GPUs ⋮ Numerical studies of a granular gas in a host medium ⋮ Low-variance direct Monte Carlo simulations using importance weights ⋮ A hybrid method with deviational particles for spatial inhomogeneous plasma ⋮ Stochastic models in kinetic theory ⋮ A variance-reduced direct Monte Carlo simulation method for solving the Boltzmann equation over a wide range of rarefaction ⋮ On the second-order temperature jump coefficient of a dilute gas

Cites Work

• A direct simulation method for subsonic, microscale gas flows
• A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
• On time counting procedures in the DSMC method for rarefied gases
• A low-variance deviational simulation Monte Carlo for the Boltzmann equation
• Generation of the Maxwellian inflow distribution
• Time Relaxed Monte Carlo Methods for the Boltzmann Equation
• Variance reduction for Monte Carlo solutions of the Boltzmann equation
• Stationary Particle Systems Approximating Stationary Solutions to the Boltzmann Equation
• Statistical simulation of low-speed rarefied gas flows

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