Numerical comparison of Bhatnagar–Gross–Krook models with proper Prandtl number
From MaRDI portal
Publication:3554540
DOI10.1063/1.1758217zbMath1186.76372OpenAlexW2017206564MaRDI QIDQ3554540
Henning Struchtrup, Luc Mieussens
Publication date: 22 April 2010
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1758217
entropyMonte Carlo methodsviscosityCouette flowflow simulationnumerical analysisthermal conductivity
Related Items (45)
A Bhatnagar-Gross-Krook kinetic model with velocity-dependent collision frequency and corrected relaxation of moments ⋮ Stable Runge-Kutta discontinuous Galerkin solver for hypersonic rarefied gaseous flow based on 2D Boltzmann kinetic model equations ⋮ A consistent BGK model with velocity-dependent collision frequency for gas mixtures ⋮ On the validity of the Boltzmann-BGK model through relaxation evaluation ⋮ A nonlinear multigrid steady-state solver for 1D microflow ⋮ Entropy production estimate for the ES-BGK model with the correct Prandtl number ⋮ A kinetic-theory based first order slip boundary condition for gas flow ⋮ A unified gas-kinetic scheme for continuum and rarefied flows ⋮ A parallel Runge-Kutta discontinuous Galerkin solver for rarefied gas flows based on 2D Boltzmann kinetic equations ⋮ Comparing macroscopic continuum models for rarefied gas dynamics: a new test method ⋮ Assessment of the ellipsoidal-statistical Bhatnagar-Gross-Krook model for force-driven Poiseuille flows ⋮ A spectral-Lagrangian Boltzmann solver for a multi-energy level gas ⋮ Convergence of a Semi-Lagrangian Scheme for the Ellipsoidal BGK Model of the Boltzmann Equation ⋮ Beyond Navier-Stokes ⋮ Capturing the influence of intermolecular potential in rarefied gas flows by a kinetic model with velocity-dependent collision frequency ⋮ A linearization of Mieussens's discrete velocity model for kinetic equations ⋮ Acceleration for microflow simulations of high-order moment models by using lower-order model correction ⋮ Study of Shock Structures Using the Unified Gas-Kinetic Wave-Particle Method with Various BGK Models ⋮ A numerical method for simulation of microflows by solving directly kinetic equations with WENO schemes ⋮ Asymptotic preserving scheme for a kinetic model describing incompressible fluids ⋮ A conservative, entropic multispecies BGK model ⋮ Numerical properties of high order discrete velocity solutions to the BGK kinetic equation ⋮ Evaluating constitutive scaling models for application to compressible microflows ⋮ RelaxNet: a structure-preserving neural network to approximate the Boltzmann collision operator ⋮ Globally hyperbolic regularized moment method with applications to microflow simulation ⋮ An efficient steady-state solver for microflows with high-order moment model ⋮ Gas-kinetic description of shock wave structures by solving Boltzmann model equation ⋮ Ellipsoidal statistical Bhatnagar–Gross–Krook model with velocity-dependent collision frequency ⋮ A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models ⋮ Efficient supersonic flow simulations using lattice Boltzmann methods based on numerical equilibria ⋮ Entropy production for ellipsoidal BGK model of the Boltzmann equation ⋮ Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows ⋮ Monte Carlo simulation of nonlinear gravity driven Poiseuille-Couette flow in a dilute gas ⋮ Entropy considerations in numerical simulations of non-equilibrium rarefied flows ⋮ A relaxation kinetic model for transport phenomena in a reactive flow ⋮ Uncertainty quantification models for micro-scale squeeze-film damping ⋮ A coupled ordinates method for solution acceleration of rarefied gas dynamics simulations ⋮ Model Boltzmann equation for gas mixtures: Construction and numerical comparison ⋮ On hyperbolicity of 13-moment system ⋮ A novel kinetic-based slip velocity boundary condition suitable for compressible gas flows in micro-/nanochannels ⋮ A new approach for the ellipsoidal statistical model ⋮ Cauchy problem for the ellipsoidal-BGK model of the Boltzmann equation ⋮ Ellipsoidal BGK model near a global Maxwellian in the whole space ⋮ Ellipsoidal BGK Model Near a Global Maxwellian ⋮ Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency
Cites Work
- A BGK model for small Prandtl number in the Navier-Stokes approximation
- The BGK-model with velocity-dependent collision frequency
- Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
- Continuum equations in the dynamics of rarefied gases
- Modèles à vitesses discrètes pour le calcul d'écoulements hors équilibre cinétique
- Discontinuity of the velocity distribution function in a rarefied gas around a convex body and the S layer at the bottom of the Knudsen layer
- 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
This page was built for publication: Numerical comparison of Bhatnagar–Gross–Krook models with proper Prandtl number
