On the construction of kinetic schemes
From MaRDI portal
Publication:1604451
DOI10.1006/jcph.2002.7008zbMath1007.76048OpenAlexW2011125167MaRDI QIDQ1604451
Publication date: 4 July 2002
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.2002.7008
Chapman-Enskog expansioncompressible Navier-Stokes equationslinear advection equationkinetic schemescompressible Euler equationChou-Baganoff schemecollision effectmodified Prendergast-Xu schemePullin scheme
Finite volume methods applied to problems in fluid mechanics (76M12) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15)
Related Items
Implicit gas-kinetic BGK scheme with multigrid for 3D stationary transonic high-Reynolds number flows, The lattice Boltzmann method for nearly incompressible flows, A unified gas-kinetic scheme for continuum and rarefied flows, Discrete unified gas kinetic scheme on unstructured meshes, High-order spectral volume scheme for multi-component flows using non-oscillatory kinetic flux, On the multidimensional gas-kinetic BGK scheme, On the remedy against shock anomalies in kinetic schemes, An improved gas-kinetic BGK finite-volume method for three-dimensional transonic flow, Management of discontinuous reconstruction in kinetic schemes, High resolution kinetic beam schemes in generalized coordinates for ideal quantum gas dynamics, Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement, A Runge-Kutta discontinuous Galerkin method for viscous flow equations, A semi-implicit gas-kinetic scheme for smooth flows, Performance evaluation of the general characteristics based off-lattice Boltzmann scheme and DUGKS for low speed continuum flows, A new gas kinetic BGK scheme based on the characteristic solution of the BGK model equation for viscous flows, Towards adaptive kinetic-fluid simulations of weakly ionized plasmas, Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations., Second-order accurate kinetic schemes for the ultra-relativistic Euler equations., A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows, A DGBGK scheme based on WENO limiters for viscous and inviscid flows, High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics, A γ-DGBGK scheme for compressible multi-fluids, Efficient kinetic schemes for steady and unsteady flow simulations on unstructured meshes, The kinetic scheme for the full-Burnett equations, A compressible Navier-Stokes flow solver with scalar transport, A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow, DUGKS simulations of three-dimensional Taylor-Green vortex flow and turbulent channel flow, Modified kinetic flux vector splitting schemes for compressible flows, Topology-based characterization of compressibility effects in mixing layers, A numerical study of oblique shock wave reflections over wedges in an ideal quantum gas, Application of discrete unified gas kinetic scheme to thermally induced nonequilibrium flows, Simple derivation of high-resolution schemes for compressible flows by kinetic approach, Applications of implicit BGK scheme in near-continuum flow
Cites Work
- Unnamed Item
- Kinetic flux-vector splitting for the Navier-Stokes equations
- Direct simulation methods for compressible inviscid ideal-gas flow
- Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
- Numerical hydrodynamics from gas-kinetic theory
- The mathematical theory of dilute gases
- Asymptotic theory of the Boltzmann system, for a steady flow of a slightly rarefied gas with a finite Mach number: General theory
- SOLUTION OF THE BOLTZMANN-HILBERT INTEGRAL EQUATION II. THE COEFFICIENTS OF VISCOSITY AND HEAT CONDUCTION
- Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules
- Uniformly High-Order Accurate Nonoscillatory Schemes. I
- Temperature jump and Knudsen layer in a rarefied gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules
- Second-Order Boltzmann Schemes for Compressible Euler Equations in One and Two Space Dimensions
- Structure of normal shock waves: Direct numerical analysis of the Boltzmann equation for hard-sphere molecules
- Computational Gasdynamics
- Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation
- A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method