Regularized 13-moment equations: shock structure calculations and comparison to Burnett models
From MaRDI portal
Publication:4674107
DOI10.1017/S0022112004009917zbMath1107.76069OpenAlexW2106363470MaRDI QIDQ4674107
Manuel Torrilhon, Henning Struchtrup
Publication date: 9 May 2005
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112004009917
Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Related Items (68)
A second-order constitutive theory for polyatomic gases: theory and applications ⋮ A positive and stable L2-minimization based moment method for the Boltzmann equation of gas dynamics ⋮ Fokker–Planck model for computational studies of monatomic rarefied gas flows ⋮ The Mott-Smith solution to the regular shock reflection problem ⋮ Moment method as a numerical solver: challenge from shock structure problems ⋮ Non-Newtonian stress, collisional dissipation and heat flux in the shear flow of inelastic disks: a reduction via Grad’s moment method ⋮ Transported Probability and Mass Density Function (PDF/MDF) Methods for Uncertainty Assessment and Multi-Scale Problems ⋮ Nonequilibrium diffusive gas dynamics: Poiseuille microflow ⋮ Diffusive Boltzmann equation, its fluid dynamics, Couette flow and Knudsen layers ⋮ Couette and Poiseuille microflows: Analytical solutions for regularized 13-moment equations ⋮ Analytical and numerical study on the nonequilibrium relaxation by the simplified Fokker–Planck equation ⋮ A high-order moment approach for capturing non-equilibrium phenomena in the transition regime ⋮ Instabilities in the Chapman-Enskog expansion and hyperbolic Burnett equations ⋮ Comparing macroscopic continuum models for rarefied gas dynamics: a new test method ⋮ A geometric singular perturbation approach for planar stationary shock waves ⋮ Scaling and expansion of moment equations in kinetic theory ⋮ Are waves with negative spatial damping unstable? ⋮ The 35-moment system with the maximum-entropy closure for rarefied gas flows ⋮ Linear kinetic heat transfer: moment equations, boundary conditions, and Knudsen layers ⋮ Nonreflecting boundary conditions for one-dimensional problems of viscous gas dynamics ⋮ An implicit Galerkin finite element Runge-Kutta algorithm for shock-structure investigations ⋮ Scale-induced closure for approximations of kinetic equations ⋮ Efficient algorithms and implementations of entropy-based moment closures for rarefied gases ⋮ Numerical simulation of rarefied supersonic flows using a fourth-order maximum-entropy moment method with interpolative closure ⋮ Regularized 13-moment equations for inverse power law models ⋮ Heat equations beyond Fourier: from heat waves to thermal metamaterials ⋮ \textit{nccrFOAM} suite: nonlinear coupled constitutive relation solver in the OpenFOAM framework for rarefied and microscale gas flows with vibrational non-equilibrium ⋮ Second-order constitutive theory of fluids ⋮ Fundamental solutions to moment equations for the simulation of microscale gas flows ⋮ Multivariate Gaussian Extended Quadrature Method of Moments for Turbulent Disperse Multiphase Flow ⋮ A general objective shock wave detection from a geometric singular perturbation approach ⋮ Unnamed Item ⋮ Conditional quadrature method of moments for kinetic equations ⋮ A robust numerical method for the R13 equations of rarefied gas dynamics: application to lid driven cavity ⋮ An extended gas-kinetic scheme for shock structure calculations ⋮ Coupled constitutive relations: a second law based higher-order closure for hydrodynamics ⋮ Entropic quadrature for moment approximations of the Boltzmann-BGK equation ⋮ Multiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computations ⋮ A quadrature-based third-order moment method for dilute gas-particle flows ⋮ Stable transport equations for rarefied gases at high orders in the Knudsen number ⋮ Derivation of regularized Grad's moment system from kinetic equations: modes, ghosts and non-Markov fluxes ⋮ Direct Flux Gradient Approximation to Moment Closure of Kinetic Equations ⋮ Reprint of: ``Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres ⋮ An Undecomposed Hybrid Algorithm for Nonlinear Coupled Constitutive Relations of Rarefied Gas Dynamics ⋮ Improved theory for shock waves using the OBurnett equations ⋮ Application of moment equations to the mathematical simulation of gas microflows ⋮ Boundary conditions for regularized 13-moment-equations for micro-channel-flows ⋮ Slow gas microflow past a sphere: Analytical solution based on moment equations ⋮ Bi-velocity hydrodynamics: multicomponent fluids ⋮ Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres ⋮ Calculation of Knudsen layers and jump conditions using the linearised G13 and R13 moment methods ⋮ Realizable high-order finite-volume schemes for quadrature-based moment methods ⋮ Hybrid Burnett Equations: A New Method of Stabilizing ⋮ Macroscopic description of steady and unsteady rarefaction effects in boundary value problems of gas dynamics ⋮ Numerical simulation of shock wave structure in nitrogen ⋮ Failures of the Burnett and super-Burnett equations in steady state processes ⋮ A computational strategy for the regularized 13 moment equations with enhanced wall-boundary conditions ⋮ Plane shock waves and Haff’s law in a granular gas ⋮ Higher-order quadrature-based moment methods for kinetic equations ⋮ Towards the development of a multiscale, multiphysics method for the simulation of rarefied gas flows ⋮ Continuum analysis of rarefaction effects on a thermally induced gas flow ⋮ Moment theories for a -dimensional dilute granular gas of Maxwell molecules ⋮ -theorem and boundary conditions for the linear R26 equations: application to flow past an evaporating droplet ⋮ Bulk equations and Knudsen layers for the regularized 13 moment equations ⋮ Fundamental solutions to the regularised 13-moment equations: efficient computation of three-dimensional kinetic effects ⋮ Formulation of moment equations for rarefied gases within two frameworks of non-equilibrium thermodynamics: RET and GENERIC ⋮ Rational extended thermodynamics of dense polyatomic gases incorporating molecular rotation and vibration ⋮ Shock Structure and Temperature Overshoot in Macroscopic Multi-temperature Model of Binary Mixtures
This page was built for publication: Regularized 13-moment equations: shock structure calculations and comparison to Burnett models