Projective and telescopic projective integration for non-linear kinetic mixtures

DOI10.1016/j.jcp.2022.111082OpenAlexW3168007272MaRDI QIDQ2139003

Rafael Bailo, Thomas Rey

Publication date: 17 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.08811

zbMATH Keywords

Boltzmann equationBGK modelprojective integrationtelescopic projective integrationkinetic mixturemultispecies gas

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)

Related Items (1)

A new mixed Boltzmann-BGK model for mixtures solved with an IMEX finite volume scheme on unstructured meshes

Cites Work

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• The Boltzmann equation for a multi-species mixture close to global equilibrium
• A rescaling velocity method for dissipative kinetic equations. Applications to granular media
• From Newton to Boltzmann: hard spheres and short-range potentials
• A study of a multi-species gas close to equilibrium
• Coarse projective kMC integration: Forward/reverse initial and boundary value problems
• A forward semi-Lagrangian method for the numerical solution of the Vlasov equation
• Stability of global equilibrium for the multi-species Boltzmann equation in \(L^\infty\) settings
• Second-order accurate projective integrators for multiscale problems
• Macroscopic transport equations for rarefied gas flows. Approximation methods in kinetic theory.
• Particle image velocimetry study of the shock-induced single mode Richtmyer-Meshkov instability
• The Boltzmann equation and its applications
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• The mathematical theory of dilute gases
• Weighted essentially non-oscillatory schemes
• Telescopic projective integration for linear kinetic equations with multiple relaxation times
• A high-order relaxation method with projective integration for solving nonlinear systems of hyperbolic conservation laws
• A conservative, entropic multispecies BGK model
• An efficient numerical method for solving the Boltzmann equation in multidimensions
• The first and second fluid approximation to the linearized Boltzmann equation
• Telescopic projective methods for parabolic differential equations
• BGK polyatomic model for rarefied flows
• Viscous multi-species lattice Boltzmann solver for simulating shock-wave structure
• Conservative semi-Lagrangian schemes for Vlasov equations
• A fast spectral method for the Boltzmann equation for monatomic gas mixtures
• Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis
• Are there more than five linearly-independent collision invariants for the Boltzmann equation?
• DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS
• Asymptotic-preserving Projective Integration Schemes for Kinetic Equations in the Diffusion Limit
• Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic Equations
• Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation
• A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration
• Experimental study of Rayleigh–Taylor instability: Low Atwood number liquid systems with single-mode initial perturbations
• A direct method for solving the Boltzmann equation
• Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum
• Finite Volume Methods for Hyperbolic Problems
• Numerical methods for kinetic equations
• Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
• A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics
• Local Discrete Velocity Grids for Multi-Species Rarefied Flow Simulations
• A numerical scheme for a kinetic model for mixtures in the diffusive limit using the moment method
• Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations
• Projective Integration for Nonlinear BGK Kinetic Equations
• Hypocoercivity for a Linearized Multispecies Boltzmann System
• Two‐Dimensional Bulk Microflow Simulations Based on Regularized Grad’s 13‐Moment Equations
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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