Reduction of the number of particles in the stochastic weighted particle method for the Boltzmann equation

DOI10.1006/jcph.1998.6018zbMath0909.65144OpenAlexW1974579699MaRDI QIDQ1268322

Wolfgang Wagner, Thomas Schreiber, Sergej Rjasanow

Publication date: 18 October 1998

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1998.6018

zbMATH Keywords

numerical exampleserror boundsBoltzmann equationreduction of the number of particlesstochastic weighted particle method

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (13)

A velocity space hybridization-based Boltzmann equation solver ⋮ A Monte Carlo methods for identification and sensitivity analysis of coagulation processes ⋮ Theoretical and numerical analysis of approaches to evaluation of statistical error of the DSMC method ⋮ Hedging direct simulation Monte Carlo bets via event splitting ⋮ Octree particle management for DSMC and PIC simulations ⋮ A new formulation and gauge invariance of the MW-CRF method for kinetic equations. ⋮ A Higher Order Moment Preserving Reduction Scheme for the Stochastic Weighted Particle Method ⋮ Energy conservation property of MW-CRF deterministic particle method ⋮ A comparative study of the DSBGK and DVM methods for low-speed rarefied gas flows ⋮ Simulation of rare events by the stochastic weighted particle method for the Boltzmann equa\-tion. ⋮ The MWF method for kinetic equations system ⋮ The MWF method: A convergence theorem for homogeneous one-dimensional case ⋮ Conservative method for the reduction of the number of particles in the Monte Carlo simulation method for kinetic equations

Cites Work

• A generalized collision mechanism for stochastic particle schemes approximating Boltzmann-type equations
• Constructing optimal binary decision trees is NP-complete
• A random discrete velocity model and approximation of the Boltzmann equation
• The mathematical theory of dilute gases
• Numerical study of a stochastic weighted particle method for a model kinetic equation
• A stochastic weighted particle method for the Boltzmann equation
• Direct simulation of gas flows at the molecular level
• Printer graphics for clustering
• Weighted particles in the finite pointset method
• Random disrete velocity models and approximiation of the Boltzmann equation. Conservation of momentum and energy
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