TY - JOUR

T1 - Efficient Method for Solving the Boltzmann Equation on a Uniform Mesh

AU - Beklemishev, A. D.

AU - Fedorenkov, E. A.

N1 - Publisher Copyright: © 2022, Pleiades Publishing, Ltd.

PY - 2022/11

Y1 - 2022/11

N2 - A new numerical method for solving the Boltzmann equation on a uniform mesh in velocity space is proposed. The asymptotic complexity of the method is (Formula presented.), where N is the total number of nodes on a three-dimensional mesh. The algorithm is efficient on relatively small meshes due to the simplicity of its operations and easy parallelization. The method preserves the most important properties of the solution, such as nonnegativity and conservation of total energy, momentum, and the number of particles.

AB - A new numerical method for solving the Boltzmann equation on a uniform mesh in velocity space is proposed. The asymptotic complexity of the method is (Formula presented.), where N is the total number of nodes on a three-dimensional mesh. The algorithm is efficient on relatively small meshes due to the simplicity of its operations and easy parallelization. The method preserves the most important properties of the solution, such as nonnegativity and conservation of total energy, momentum, and the number of particles.

KW - 0D3V kinetic code

KW - Boltzmann equation

KW - discrete-velocity models

KW - kinetic equation

UR - http://www.scopus.com/inward/record.url?scp=85143116632&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/e1ef8a6b-eff6-3455-9db9-6a68530062fe/

U2 - 10.1134/S0965542522110045

DO - 10.1134/S0965542522110045

M3 - Article

AN - SCOPUS:85143116632

VL - 62

SP - 1900

EP - 1911

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 11

ER -