Spatially adaptive projective integration schemes for stiff hyperbolic balance laws with spectral gaps

DOI10.5802/smai-jcm.88OpenAlexW3197491886MaRDI QIDQ2679838

Giovanni Samaey, Julian Koellermeier

Publication date: 26 January 2023

Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.12762

zbMATH Keywords

moment equationsprojective integrationhyperbolic balance lawspatial adaptivity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Multiple scale methods for ordinary differential equations (34E13) Boltzmann equations (35Q20) First-order hyperbolic equations (35L02)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Model reduction of kinetic equations by operator projection
• Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors
• Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
• Multirate generalized additive Runge Kutta methods
• Accelerating the convergence of the moment method for the Boltzmann equation using filters
• Projective integration schemes for hyperbolic moment equations
• Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement
• Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes
• An adaptive domain decomposition procedure for Boltzmann and Euler equations
• Telescopic projective integration for linear kinetic equations with multiple relaxation times
• Numerical solution of hyperbolic moment models for the Boltzmann equation
• A high-order relaxation method with projective integration for solving nonlinear systems of hyperbolic conservation laws
• Adaptive mesh and algorithm refinement using direct simulation Monte Carlo
• A velocity-space adaptive unified gas kinetic scheme for continuum and rarefied flows
• Globally hyperbolic regularization of Grad's moment system in one dimensional space
• A smooth transition model between kinetic and hydrodynamic equations
• Modeling Nonequilibrium Gas Flow Based on Moment Equations
• Asymptotic-preserving Projective Integration Schemes for Kinetic Equations in the Diffusion Limit
• Scale-Dependent Models for Atmospheric Flows
• A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration
• The shock tube study in extended thermodynamics
• Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum
• High-Order Non-Conservative Simulation of Hyperbolic Moment Models in Partially-Conservative Form
• Analysis and Numerical Simulation of Hyperbolic Shallow Water Moment Equations
• Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations
• Projective Integration for Nonlinear BGK Kinetic Equations
• A Unified IMEX Runge--Kutta Approach for Hyperbolic Systems with Multiscale Relaxation
• On Singular Closures for the 5-Moment System in Kinetic Gas Theory
• Numerical Study of Partially Conservative Moment Equations in Kinetic Theory
• Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
• On the Construction and Comparison of Difference Schemes
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

This page was built for publication: Spatially adaptive projective integration schemes for stiff hyperbolic balance laws with spectral gaps