An adaptive dynamical low rank method for the nonlinear Boltzmann equation

DOI10.1007/s10915-022-01934-4zbMath1504.65223arXiv2112.02695OpenAlexW4226166043MaRDI QIDQ2162228

Jingwei Hu, Yu-Bo Wang

Publication date: 5 August 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.02695

zbMATH Keywords

Boltzmann equationsteady state solutionnormal shock waveadaptive methodfast Fourier spectral methoddynamical low rank method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

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