Conservative numerical methods for model kinetic equations

DOI10.1016/j.compfluid.2007.01.009zbMath1194.76220OpenAlexW2112264486MaRDI QIDQ993906

Vladimir Titarev

Publication date: 16 September 2010

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1826/2085

Mathematics Subject Classification ID

Related Items (39)

Stable Runge-Kutta discontinuous Galerkin solver for hypersonic rarefied gaseous flow based on 2D Boltzmann kinetic model equations ⋮ High order central WENO-implicit-explicit Runge Kutta schemes for the BGK model on general polygonal meshes ⋮ A comparative study of discrete velocity methods for low-speed rarefied gas flows ⋮ An application of Discontinuous Galerkin space and velocity discretisations to the solution of a model kinetic equation ⋮ Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions ⋮ Solving the discrete S-model kinetic equations with arbitrary order polynomial approximations ⋮ A conservative discrete ordinate method for solving semiclassical Boltzmann-BGK equation with Maxwell type wall boundary condition ⋮ Implicit gas-kinetic unified algorithm based on multi-block docking grid for multi-body reentry flows covering all flow regimes ⋮ A numerical method for simulation of microflows by solving directly kinetic equations with WENO schemes ⋮ A method for simulating the dynamics of rarefied gas based on lattice Boltzmann equations and the BGK equation ⋮ Poiseuille flow and thermal creep in a capillary tube on the basis of the kinetic R-model ⋮ Slip boundary conditions for the compressible Navier-Stokes equations ⋮ Numerical analysis of rarefied gas flow through a system of short channels ⋮ Nonclassical heat transfer in a microchannel and a problem for lattice Boltzmann equations ⋮ Implicit high-order method for calculating rarefied gas flow in a planar microchannel ⋮ Small collaboration: Modeling phenomena from nature by hyperbolic partial differential equations. Abstracts from the small collaboration held April 11--17, 2021 (hybrid meeting) ⋮ Application of the Nesvetay code for solving three-dimensional high-altitude aerodynamics problems ⋮ A conservative implicit scheme for steady state solutions of diatomic gas flow in all flow regimes ⋮ A multi-prediction implicit scheme for steady state solutions of gas flow in all flow regimes ⋮ A novel multiscale discrete velocity method for model kinetic equations ⋮ Rarefied gas flow through a cylindrical tube due to a small pressure difference ⋮ A robust numerical method for the R13 equations of rarefied gas dynamics: application to lid driven cavity ⋮ A comparative study of the DSBGK and DVM methods for low-speed rarefied gas flows ⋮ Pore-scale gas flow simulations by the DSBGK and DVM methods ⋮ High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes ⋮ OpenMP + MPI parallel implementation of a numerical method for solving a kinetic equation ⋮ Implicit multiblock method for solving a kinetic equation on unstructured meshes ⋮ A Gas-Kinetic Unified Algorithm for Non-Equilibrium Polyatomic Gas Flows Covering Various Flow Regimes ⋮ Rarefied gas flow through a pipe of variable square cross section into vacuum ⋮ A conservative discrete ordinate method for model Boltzmann equations ⋮ Comparison of the Shakhov kinetic equation and DSMC method as applied to space vehicle aerothermodynamics ⋮ Numerical study of the generalized cylindrical Couette flow of rarefied gas ⋮ High-order accurate conservative method for computing the poiseuille rarefied gas flow in a channel of arbitrary cross section ⋮ Rarefied flow separation in microchannel with bends ⋮ On Fokker-Planck model for the Boltzmann collision integral at the moderate Knudsen numbers ⋮ High order modal discontinuous Galerkin implicit-explicit Runge Kutta and linear multistep schemes for the Boltzmann model on general polygonal meshes ⋮ Splitting over physical processes as applied to the construction of a numerical method for solving the system of kinetic equations governing a hall thruster rarefied plasma jet ⋮ Application of discrete unified gas kinetic scheme to thermally induced nonequilibrium flows ⋮ The Shakhov model near a global Maxwellian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flow computation in the bottom vacuum region behind a plate in a hypersonic rarefied gas stream
• Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
• A conservative method for the numerical solution of the kinetic equation at low Knudsen numbers
• Transverse flow of a rarefied gas around a plate
• Study of a shock wave structure in gas mixtures on the basis of the Boltzmann equation
• A deterministic method for solving the Boltzmann equation with parallel computations
• Rarefied flow computations using nonlinear model Boltzmann equations
• Efficient implementation of weighted ENO schemes
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Computation of rarefied diatomic gas flows through a plane microchannel
• Three-dimensional flow of a rarefied gas past a conical body
• Gas-dynamic boundary conditions of evaporation and condensation: Numerical analysis of the Knudsen layer
• S.K. Godunov's implicit high-accuracy scheme for the numerical integration of Euler's equations
• The conservative splitting method for solving Boltzmann's equation
• Rotational Relaxation in Nonpolar Diatomic Gases
• Nonlinear Couette flow between two rotating cylinders
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

This page was built for publication: Conservative numerical methods for model kinetic equations