Parallel kinetic scheme for transport equations in complex toroidal geometry
DOI10.5802/smai-jcm.86OpenAlexW4286859027MaRDI QIDQ2679836
Laurent Navoret, Emmanuel Franck, Bérenger Bramas, Romane Hélie, M. Boileau, Philippe Helluy
Publication date: 26 January 2023
Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://hal.science/hal-02404082
Particle methods and lattice-gas methods (76M28) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Nuclear reactor theory; neutron transport (82D75) Numerical integration (65D30) Symmetries, invariants, etc. in context of PDEs (35B06) PDEs in connection with statistical mechanics (35Q82) Transport equations (35Q49)
Uses Software
Cites Work
- Towards an ultra efficient kinetic scheme. I: Basics on the BGK equation
- An interpretation and derivation of the lattice Boltzmann method using strang splitting
- Approximation of mono-dimensional hyperbolic systems: a lattice Boltzmann scheme as a relaxation method
- The semi-Lagrangian method for the numerical resolution of the Vlasov equation
- Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
- A 5D gyrokinetic full-\(f\) global semi-Lagrangian code for flux-driven ion turbulence simulations
- An efficient numerical method for solving the Boltzmann equation in multidimensions
- Field-aligned interpolation for semi-Lagrangian gyrokinetic simulations
- High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation
- A lattice Boltzmann approach for solving scalar transport equations
- Towards higher order lattice Boltzmann schemes
- Lattice BGK Models for Navier-Stokes Equation
- Discrete Kinetic Schemes for Multidimensional Systems of Conservation Laws
- Task-Based Parallelization of an Implicit Kinetic Scheme
- LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
- Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes
- Vectorial Kinetic Relaxation Model with Central Velocity. ApplicationtoImplicitRelaxationsSchemes
- Lattice Boltzmann Schemes with Relative Velocities
- Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov--Poisson system
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