A magic two-relaxation-time lattice Boltzmann algorithm for magnetohydrodynamics

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Magnetohydrodynamics and electrohydrodynamics (76W05) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Cites Work

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An interpretation and derivation of the lattice Boltzmann method using strang splitting
Construction and analysis of lattice Boltzmann methods applied to a 1D convection-diffusion equation
Optimal stability of advection-diffusion lattice Boltzmann models with two relaxation times for positive/negative equilibrium
Lattice kinetic schemes for magnetohydrodynamics
Mimetic finite difference method
Viscosity independent numerical errors for lattice Boltzmann models: from recurrence equations to ``magic collision numbers
A method for enforcing the solenoidal condition on magnetic field in numerical calculations
The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
A novel thermal model for the lattice Boltzmann method in incompressible limit
Mimetic discretizations for Maxwell's equations
Fully-Lagrangian and lattice-Boltzmann methods for solving systems of conservation equations
Incompressible limits of lattice Boltzmann equations using multiple relaxation times.
The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
Hyperbolic divergence cleaning for the MHD equations
A new discrete velocity method for Navier-Stokes equations
Simulation of cavity flow by the lattice Boltzmann method
Equivalent finite difference and partial differential equations for the lattice Boltzmann method
A robust and efficient solver based on kinetic schemes for magnetohydrodynamics (MHD) equations
The lattice Boltzmann method for nearly incompressible flows
Finite difference formulation of any lattice Boltzmann scheme
Lattice BGK Models for Navier-Stokes Equation
Generalized Du Fort–Frankel Methods for Parabolic Initial-Boundary Value Problems
Lattice-Gas Cellular Automata
A lattice kinetic scheme for incompressible viscous flows with heat transfer
Truncation Errors, Exact And Heuristic Stability Analysis Of Two-Relaxation-Times Lattice Boltzmann Schemes For Anisotropic Advection-Diffusion Equation
LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
On the Construction and Comparison of Difference Schemes
Hyperbolic Divergence Cleaning in Lattice Boltzmann Magnetohydrodynamics
Relativistic properties and invariants of the du fort-frankel scheme for the one-dimensional Schrödinger equation