A Higher Order Moment Preserving Reduction Scheme for the Stochastic Weighted Particle Method

DOI10.1137/20M1312253zbMath1452.65025arXiv2101.01633OpenAlexW3118862915MaRDI QIDQ5131994

Sonam Lama, Matthew J. Goeckner, John W. Zweck

Publication date: 9 November 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.01633

zbMATH Keywords

Boltzmann equationhigher order momentsstochastic weighted particle methoddeterministic particle reduction

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Applications to the sciences (65Z05) Stochastic particle methods (65C35)

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Cites Work

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• A conservative spectral method for the Boltzmann equation with anisotropic scattering and the grazing collisions limit
• Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation
• A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
• Reduction of the number of particles in the stochastic weighted particle method for the Boltzmann equation
• Galerkin-Petrov approach for the Boltzmann equation
• Conservative method for the reduction of the number of particles in the Monte Carlo simulation method for kinetic equations
• A stochastic weighted particle method for the Boltzmann equation
• A Fourier spectral method for homogeneous boltzmann equations
• Fast algorithms for computing the Boltzmann collision operator
• Convergence of the Stochastic Weighted Particle Method for the Boltzmann Equation
• Stochastic Numerics for the Boltzmann Equation
• A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels

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