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




Related Items (68)

A second-order constitutive theory for polyatomic gases: theory and applicationsA positive and stable L2-minimization based moment method for the Boltzmann equation of gas dynamicsFokker–Planck model for computational studies of monatomic rarefied gas flowsThe Mott-Smith solution to the regular shock reflection problemMoment method as a numerical solver: challenge from shock structure problemsNon-Newtonian stress, collisional dissipation and heat flux in the shear flow of inelastic disks: a reduction via Grad’s moment methodTransported Probability and Mass Density Function (PDF/MDF) Methods for Uncertainty Assessment and Multi-Scale ProblemsNonequilibrium diffusive gas dynamics: Poiseuille microflowDiffusive Boltzmann equation, its fluid dynamics, Couette flow and Knudsen layersCouette and Poiseuille microflows: Analytical solutions for regularized 13-moment equationsAnalytical and numerical study on the nonequilibrium relaxation by the simplified Fokker–Planck equationA high-order moment approach for capturing non-equilibrium phenomena in the transition regimeInstabilities in the Chapman-Enskog expansion and hyperbolic Burnett equationsComparing macroscopic continuum models for rarefied gas dynamics: a new test methodA geometric singular perturbation approach for planar stationary shock wavesScaling and expansion of moment equations in kinetic theoryAre waves with negative spatial damping unstable?The 35-moment system with the maximum-entropy closure for rarefied gas flowsLinear kinetic heat transfer: moment equations, boundary conditions, and Knudsen layersNonreflecting boundary conditions for one-dimensional problems of viscous gas dynamicsAn implicit Galerkin finite element Runge-Kutta algorithm for shock-structure investigationsScale-induced closure for approximations of kinetic equationsEfficient algorithms and implementations of entropy-based moment closures for rarefied gasesNumerical simulation of rarefied supersonic flows using a fourth-order maximum-entropy moment method with interpolative closureRegularized 13-moment equations for inverse power law modelsHeat 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-equilibriumSecond-order constitutive theory of fluidsFundamental solutions to moment equations for the simulation of microscale gas flowsMultivariate Gaussian Extended Quadrature Method of Moments for Turbulent Disperse Multiphase FlowA general objective shock wave detection from a geometric singular perturbation approachUnnamed ItemConditional quadrature method of moments for kinetic equationsA robust numerical method for the R13 equations of rarefied gas dynamics: application to lid driven cavityAn extended gas-kinetic scheme for shock structure calculationsCoupled constitutive relations: a second law based higher-order closure for hydrodynamicsEntropic quadrature for moment approximations of the Boltzmann-BGK equationMultiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computationsA quadrature-based third-order moment method for dilute gas-particle flowsStable transport equations for rarefied gases at high orders in the Knudsen numberDerivation of regularized Grad's moment system from kinetic equations: modes, ghosts and non-Markov fluxesDirect Flux Gradient Approximation to Moment Closure of Kinetic EquationsReprint of: ``Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheresAn Undecomposed Hybrid Algorithm for Nonlinear Coupled Constitutive Relations of Rarefied Gas DynamicsImproved theory for shock waves using the OBurnett equationsApplication of moment equations to the mathematical simulation of gas microflowsBoundary conditions for regularized 13-moment-equations for micro-channel-flowsSlow gas microflow past a sphere: Analytical solution based on moment equationsBi-velocity hydrodynamics: multicomponent fluidsComparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheresCalculation of Knudsen layers and jump conditions using the linearised G13 and R13 moment methodsRealizable high-order finite-volume schemes for quadrature-based moment methodsHybrid Burnett Equations: A New Method of StabilizingMacroscopic description of steady and unsteady rarefaction effects in boundary value problems of gas dynamicsNumerical simulation of shock wave structure in nitrogenFailures of the Burnett and super-Burnett equations in steady state processesA computational strategy for the regularized 13 moment equations with enhanced wall-boundary conditionsPlane shock waves and Haff’s law in a granular gasHigher-order quadrature-based moment methods for kinetic equationsTowards the development of a multiscale, multiphysics method for the simulation of rarefied gas flowsContinuum analysis of rarefaction effects on a thermally induced gas flowMoment 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 dropletBulk equations and Knudsen layers for the regularized 13 moment equationsFundamental solutions to the regularised 13-moment equations: efficient computation of three-dimensional kinetic effectsFormulation of moment equations for rarefied gases within two frameworks of non-equilibrium thermodynamics: RET and GENERICRational extended thermodynamics of dense polyatomic gases incorporating molecular rotation and vibrationShock 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