An implicit Monte Carlo method for rarefied gas dynamics. I: The space homogeneous case
DOI10.1006/jcph.1999.6301zbMath0953.76075OpenAlexW2068824373MaRDI QIDQ1819075
Lorenzo Pareschi, Russel E. Caflisch
Publication date: 1 February 2001
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.1999.6301
power series expansionMaxwellian distributionKac modelMaxwell moleculeshybrid Monte Carlo methodimplicit time differencingfluid dynamics limitgeneralized Wild expansionnon-equilibrium particle distributionspace homogeneous Boltzmann equationvariable hard sphere model
Monte Carlo methods (65C05) Stochastic analysis applied to problems in fluid mechanics (76M35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical schemes for kinetic equations in diffusive regimes
- Direct simulation methods for compressible inviscid ideal-gas flow
- The asymptotic diffusion limit of a linear discontinuous discretization of a two-dimensional linear transport equation
- The Boltzmann equation and its applications
- Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
- An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
- Asymptotic preserving Monte Carlo methods for the Boltzmann equation
- Time Relaxed Monte Carlo Methods for the Boltzmann Equation
- Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation
- Boltzmann Type Schemes for Gas Dynamics and the Entropy Property
- Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
- Fully-discrete numerical transfer in diffusive regimes
- Relaxation Schemes for Nonlinear Kinetic Equations
- Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation
- Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
- A vectorizable simulation method for the Boltzmann equation
- Direct Simulation and the Boltzmann Equation