Projective integration schemes for hyperbolic moment equations
DOI10.3934/krm.2021008zbMath1479.76070arXiv2005.13914OpenAlexW3121512721WikidataQ115483453 ScholiaQ115483453MaRDI QIDQ826022
Giovanni Samaey, Julian Koellermeier
Publication date: 18 December 2021
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.13914
stabilityconvergenceBoltzmann equationspectral analysisshock tube problemasymptotic-preserving schemeprojective integrationBGK collision model
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Model reduction of kinetic equations by operator projection
- Affordable robust moment closures for CFD based on the maximum-entropy hierarchy
- Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- Accelerating the convergence of the moment method for the Boltzmann equation using filters
- Projective integration schemes for hyperbolic moment equations
- Macroscopic transport equations for rarefied gas flows. Approximation methods in kinetic theory.
- Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes
- A comment on the computation of non-conservative products
- Singular perturbations of first-order hyperbolic systems with stiff source terms
- The mathematical theory of dilute gases
- Moment closure hierarchies for kinetic theories.
- Telescopic projective integration for linear kinetic equations with multiple relaxation times
- An efficient numerical method for solving the Boltzmann equation in multidimensions
- Definition and weak stability of nonconservative products
- Laminar separation on a forward facing step
- Globally hyperbolic regularization of Grad's moment system in one dimensional space
- A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods
- Convergence rate for the method of moments with linear closure relations
- Stability analysis of a class of globally hyperbolic moment system
- A unified gas-kinetic scheme for continuum and rarefied flows
- A conservative and entropic discrete-velocity model for rarefied polyatomic gases
- Modeling Nonequilibrium Gas Flow Based on Moment Equations
- Asymptotic-preserving Projective Integration Schemes for Kinetic Equations in the Diffusion Limit
- Well-Balanced Schemes and Path-Conservative Numerical Methods
- Design and Control of Swarm Dynamics
- A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration
- The shock tube study in extended thermodynamics
- Switching criteria for hybrid rarefied gas flow solvers
- A Micro-Macro Acceleration Method for the Monte Carlo Simulation of Stochastic Differential Equations
- CWENO: Uniformly accurate reconstructions for balance laws
- DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS
- Central Schemes for Nonconservative Hyperbolic Systems
- Centred TVD schemes for hyperbolic conservation laws
- Convergence Analysis of Grad's Hermite Expansion for Linear Kinetic Equations
- Tensor-Product Discretization for the Spatially Inhomogeneous and Transient Boltzmann Equation in Two Dimensions
- High-Order Non-Conservative Simulation of Hyperbolic Moment Models in Partially-Conservative Form
- Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations
- Projective Integration for Nonlinear BGK Kinetic Equations
- Diffusion models for Knudsen compressors
- On Singular Closures for the 5-Moment System in Kinetic Gas Theory
- Convergence Study of Moment Approximations for Boundary Value Problems of the Boltzmann-BGK Equation
- Numerical Study of Partially Conservative Moment Equations in Kinetic Theory
- Globally Hyperbolic Regularization of Grad's Moment System
- High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
- On the kinetic theory of rarefied gases
- 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: Projective integration schemes for hyperbolic moment equations