A discontinuous Galerkin fast spectral method for the multi-species Boltzmann equation

DOI10.1016/j.cma.2019.04.015zbMath1441.76108arXiv1903.03056OpenAlexW2921145624MaRDI QIDQ1988028

Jingwei Hu, Shashank Jaiswal, Alina A. Alexeenko

Publication date: 16 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03056

zbMATH Keywords

discontinuous Galerkin methodrarefied gas dynamicsdiffusive transportgas mixturesfast Fourier spectral methodmulti-species Boltzmann equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Finite element, Galerkin and related methods applied to problems in statistical mechanics (82M10)

Related Items (8)

An entropy stable scheme for the non-linear Boltzmann equation ⋮ A high-order unified stochastic particle method based on the Bhatnagar-Gross-Krook model for multi-scale gas flows ⋮ Isogeometric schemes in rarefied gas dynamics context ⋮ High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes ⋮ Local Discrete Velocity Grids for Multi-Species Rarefied Flow Simulations ⋮ Multiscale simulation of molecular gas flows by the general synthetic iterative scheme ⋮ High order modal discontinuous Galerkin implicit-explicit Runge Kutta and linear multistep schemes for the Boltzmann model on general polygonal meshes ⋮ Hermite spectral method for multi-species Boltzmann equation

Cites Work

• Unnamed Item
• A spectral-Lagrangian Boltzmann solver for a multi-energy level gas
• An adaptive, conservative 0D-2V multispecies Rosenbluth-Fokker-Planck solver for arbitrarily disparate mass and temperature regimes
• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Half-space problem of the nonlinear Boltzmann equation for weak evaporation and condensation of a binary mixture of vapors
• A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
• The Boltzmann equation and its applications
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• A consistent BGK-type model for gas mixtures
• A conservative, entropic multispecies BGK model
• A general consistent BGK model for gas mixtures
• An ellipsoidal statistical model for gas mixtures
• A discontinuous Galerkin fast spectral method for the full Boltzmann equation with general collision kernels
• A fast spectral method for the Boltzmann equation for monatomic gas mixtures
• Strong Stability-Preserving High-Order Time Discretization Methods
• Model for Collision Processes in Gases: Small-Amplitude Oscillations of Charged Two-Component Systems
• Fast algorithms for computing the Boltzmann collision operator
• Velocity slip and temperature jump coefficients for gaseous mixtures. II. Thermal slip coefficient
• Velocity slip and temperature jump coefficients for gaseous mixtures. I. Viscous slip coefficient
• Variable soft sphere molecular model for inverse-power-law or Lennard-Jones potential
• Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator
• Efficient Spherical Designs with Good Geometric Properties
• Numerical methods for kinetic equations
• THE ASYMPTOTICS OF COLLISION OPERATORS FOR TWO SPECIES OF PARTICLES OF DISPARATE MASSES
• Construction of linearized kinetic models for gaseous mixtures and molecular gases
• A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels
• Kinetic Modeling of Gas Mixtures
• Shock-wave structure for a binary gas mixture: Finite difference analysis of the Boltzmann equation for hard-sphere molecules

This page was built for publication: A discontinuous Galerkin fast spectral method for the multi-species Boltzmann equation