Efficient dynamical low-rank approximation for the Vlasov-Ampère-Fokker-Planck system

DOI10.1016/j.jcp.2022.111590OpenAlexW4294631368WikidataQ114163185 ScholiaQ114163185MaRDI QIDQ2083679

Jingwei Hu, Jack Coughlin

Publication date: 11 October 2022

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

Full work available at URL: https://arxiv.org/abs/2204.10896

zbMATH Keywords

convolutionimplicit-explicit schemehigh-field limitdynamical low-rank integratorVlasov-Ampère-Fokker-Planck model

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Hyperbolic equations and hyperbolic systems (35Lxx) Rarefied gas flows, Boltzmann equation in fluid mechanics (76Pxx)

Related Items (2)

Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation ⋮ A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck system in the high field regime
• The Boltzmann equation and its applications
• Device benchmark comparisons via kinetic, hydrodynamic, and high-field models
• An unconventional robust integrator for dynamical low-rank approximation
• A low-rank method for two-dimensional time-dependent radiation transport calculations
• An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation
• A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation
• An adaptive dynamical low rank method for the nonlinear Boltzmann equation
• A projector-splitting integrator for dynamical low-rank approximation
• Dynamical Tensor Approximation
• Fokker-Planck Equation for an Inverse-Square Force
• An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Runaway Phenomena and Fluid Approximation Under High Fields in Semiconductor Kinetic Theory
• A Low-Rank Projector-Splitting Integrator for the Vlasov--Poisson Equation
• Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit
• A Low-Rank Algorithm for Weakly Compressible Flow
• Dynamical Low‐Rank Approximation

This page was built for publication: Efficient dynamical low-rank approximation for the Vlasov-Ampère-Fokker-Planck system