A new local and explicit kinetic method for linear and non-linear convection-diffusion problems with finite kinetic speeds. II: Multi-dimensional case
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Publication:6615027
DOI10.1016/j.jcp.2024.113376MaRDI QIDQ6615027
Gauthier Wissocq, Remi Abgrall
Publication date: 8 October 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
regularizationcompressible Navier-Stokes equationsrelaxation schemesdeferred correctionBGKMRTkinetic methods
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme
- A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
- On the symmetric form of systems of conservation laws with entropy
- A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws
- Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
- Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes
- A high-order relaxation method with projective integration for solving nonlinear systems of hyperbolic conservation laws
- Lattice-gas cellular automata and lattice Boltzmann models. An introduction
- Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme
- Conservative semi-Lagrangian schemes for kinetic equations. I: Reconstruction
- Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling
- \textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction
- Lattice Boltzmann method with regularized pre-collision distribution functions
- Asymptotic analysis of the lattice Boltzmann equation
- High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems
- Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling
- Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation
- On a Class of Uniformly Accurate IMEX Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation
- Order Stars and a Saturation Theorem for First-order Hyperbolics
- Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
- An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
- Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems
- Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation
- Discrete Kinetic Schemes for Multidimensional Systems of Conservation Laws
- Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
- Multiple–relaxation–time lattice Boltzmann models in three dimensions
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
- Flux-Explicit IMEX Runge--Kutta Schemes for Hyperbolic to Parabolic Relaxation Problems
- Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations
- Asymptotic Preserving IMEX-DG-S Schemes for Linear Kinetic Transport Equations Based on Schur Complement
- Impact of collision models on the physical properties and the stability of lattice Boltzmann methods
- Solving Ordinary Differential Equations II
- A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
- Fluid Dynamic Limits of the Kinetic Theory of Gases
- Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
- Lattice-Boltzmann simulations of particle-fluid suspensions.
- An arbitrarily high order and asymptotic preserving kinetic scheme in compressible fluid dynamic
- A new local and explicit kinetic method for linear and non-linear convection-diffusion problems with finite kinetic speeds. I: One-dimensional case
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