On a class of implicit-explicit Runge-Kutta schemes for stiff kinetic equations preserving the Navier-Stokes limit

DOI10.1007/s10915-017-0499-3zbMath1382.35179OpenAlexW2735678467MaRDI QIDQ1691398

Jingwei Hu, Xiangxiong Zhang

Publication date: 16 January 2018

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

Full work available at URL: https://doi.org/10.1007/s10915-017-0499-3

zbMATH Keywords

Navier-Stokes equationsBoltzmann equationcompressible Euler equationsBGK/ES-BGK modelsIMEX Runge-Kutta schemes

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04) Euler equations (35Q31) Boltzmann equations (35Q20)

Related Items

High order central WENO-implicit-explicit Runge Kutta schemes for the BGK model on general polygonal meshes ⋮ Boundary treatment of implicit-explicit Runge-Kutta method for hyperbolic systems with source terms ⋮ A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations ⋮ A Gas-Kinetic Scheme for Collisional Vlasov-Poisson Equations in Cylindrical Coordinates ⋮ General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows ⋮ A strang-splitting based unified gas-kinetic scheme for two species plasma in spherical coordinate ⋮ A collision-based hybrid method for the BGK equation ⋮ Fast Convergence and Asymptotic Preserving of the General Synthetic Iterative Scheme ⋮ Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation ⋮ High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes ⋮ High order modal discontinuous Galerkin implicit-explicit Runge Kutta and linear multistep schemes for the Boltzmann model on general polygonal meshes

Uses Software

• RODAS
• HE-E1GODF

Cites Work

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• Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
• An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation
• High order asymptotic preserving nodal discontinuous Galerkin IMEX schemes for the BGK equation
• The Boltzmann equation and its applications
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
• Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
• Efficient implementation of weighted ENO schemes
• On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws
• Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics
• A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
• Implicit-explicit schemes for BGK kinetic equations
• Central Schemes for Balance Laws of Relaxation Type
• Asymptotic Preserving Implicit-Explicit Runge--Kutta Methods for Nonlinear Kinetic Equations
• Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic Equations
• Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation
• Acoustic and Stokes limits for the Boltzmann equation
• Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
• Implicit-Explicit Linear Multistep Methods for Stiff Kinetic Equations
• Numerical Passage from Kinetic to Fluid Equations
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• The Gaussian-BGK model of Boltzmann equation with small Prandtl number

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