Fast Convergence and Asymptotic Preserving of the General Synthetic Iterative Scheme

DOI10.1137/20M132691XzbMath1456.76095arXiv2003.09958OpenAlexW3111251720MaRDI QIDQ5147971

Lei Wu, Lianhua Zhu, Wei Su

Publication date: 29 January 2021

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

Full work available at URL: https://arxiv.org/abs/2003.09958

zbMATH Keywords

superconvergencegas kinetic equationasymptotic Navier-Stokes property preservingthermal edge flow

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (8)

General synthetic iterative scheme for nonlinear gas kinetic simulation of multi-scale rarefied gas flows ⋮ A fast-converging scheme for the phonon Boltzmann equation with dual relaxation times ⋮ Fast-Converging and Asymptotic-Preserving Simulation of Frequency Domain Thermoreflectance ⋮ General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows ⋮ General synthetic iterative scheme for polyatomic rarefied gas flows ⋮ Linear Regularized 13-Moment Equations with Onsager Boundary Conditions for General Gas Molecules ⋮ Multiscale simulation of molecular gas flows by the general synthetic iterative scheme ⋮ Uncertainty quantification in rarefied dynamics of molecular gas: rate effect of thermal relaxation

Cites Work

• Unnamed Item
• An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation
• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
• Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
• A comparative study of discrete velocity methods for low-speed rarefied gas flows
• On a class of implicit-explicit Runge-Kutta schemes for stiff kinetic equations preserving the Navier-Stokes limit
• Kinetic theory and fluid dynamics
• Can we find steady-state solutions to multiscale rarefied gas flows within dozens of iterations?
• Implicit discontinuous Galerkin method for the Boltzmann equation
• A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation
• Accurate and efficient computation of the Boltzmann equation for Couette flow: influence of intermolecular potentials on Knudsen layer function and viscous slip coefficient
• Analysis and accurate numerical solutions of the integral equation derived from the linearized BGKW equation for the steady Couette flow
• A fast iterative scheme for the linearized Boltzmann equation
• A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
• A unified gas-kinetic scheme for continuum and rarefied flows
• Rarefied gas flow around a sharp edge induced by a temperature field
• Acceleration Schemes of the Discrete Velocity Method: Gaseous Flows in Rectangular Microchannels
• Implicit-Explicit Linear Multistep Methods for Stiff Kinetic Equations
• On the kinetic theory of rarefied gases
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• A multi-level parallel solver for rarefied gas flows in porous media

This page was built for publication: Fast Convergence and Asymptotic Preserving of the General Synthetic Iterative Scheme