High order time discretization for backward semi-Lagrangian methods

DOI10.1016/j.cam.2016.01.024zbMath1334.65149OpenAlexW2288997309MaRDI QIDQ269381

Charles Prouveur, Francis Filbet

Publication date: 18 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.01.024

zbMATH Keywords

plasma physicssemi-Lagrangian schemeguiding-centre modelhigh order time discretizationVlasov-Poisson model

Mathematics Subject Classification ID

Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Statistical mechanics of plasmas (82D10) Vlasov equations (35Q83)

Related Items

An efficient trajectory tracking algorithm for the backward semi-Lagrangian method of solving the guiding center problems ⋮ An iteration-free semi-Lagrangian meshless method for Burgers' equations ⋮ The dissipative generalized hydrodynamic equations and their numerical solution ⋮ Composition Schemes for the Guiding-Center Model ⋮ A semi-Lagrangian approach for numerical simulation of coupled Burgers' equations ⋮ One-step \(L(\alpha)\)-stable temporal integration for the backward semi-Lagrangian scheme and its application in guiding center problems ⋮ A conservative semi-Lagrangian finite difference WENO scheme based on exponential integrator for one-dimensional scalar nonlinear hyperbolic equations ⋮ A completely explicit scheme of Cauchy problem in BSLM for solving the Navier-Stokes equations ⋮ The inverse distance weighted interpolation applied to a particular form of the path tubes method: theory and computation for advection in incompressible flow ⋮ Algorithm for a cost-reducing time-integration scheme for solving incompressible Navier-Stokes equations ⋮ A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of scalar hyperbolic conservation laws ⋮ Convergence and stability of a BSLM for advection-diffusion models with Dirichlet boundary conditions ⋮ Simulation of advection-diffusion-dispersion equations based on a composite time discretization scheme ⋮ Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas

Uses Software

• Vador
• GYSELA

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic preserving schemes for highly oscillatory Vlasov-Poisson equations
• Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system
• A discontinuous Galerkin method for the Vlasov-Poisson system
• Analysis of a high order finite volume scheme for the 1D Vlasov-Poisson system
• High-order Hamiltonian splitting for the Vlasov-Poisson equations
• Comparison of Eulerian Vlasov solvers
• Conservative and non-conservative methods based on Hermite weighted essentially non-oscillatory reconstruction for Vlasov equations
• Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system
• High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications
• A Vlasov code for the numerical simulation of stimulated Raman scattering
• The semi-Lagrangian method for the numerical resolution of the Vlasov equation
• Numerical integration of the Vlasov equation
• Cubic interpolated propagation scheme for solving the hyper-dimensional Vlasov-Poisson equation in phase space
• A non-oscillatory and conservative semi-Lagrangian scheme with fourth-degree polynomial interpolation for solving the Vlasov equation
• Conservative semi-Lagrangian schemes for Vlasov equations
• Computing ITG turbulence with a full-\(f\) semi-Lagrangian code
• Hybrid semi-Lagrangian finite element-finite difference methods for the Vlasov equation
• A drift-kinetic semi-Lagrangian 4D code for ion turbulence simulation
• Solving Ordinary Differential Equations I
• Convergence of Semi-Lagrangian Approximations to Convex Hamilton--Jacobi Equations under (Very) Large Courant Numbers
• Convergence of a Finite Volume Scheme for the Vlasov--Poisson System
• DISCONTINUOUS GALERKIN METHODS FOR THE MULTI-DIMENSIONAL VLASOV–POISSON PROBLEM
• Asymptotic Stability for the Couette Flow in the 2D Euler Equations
• MODELING AND NUMERICAL SIMULATION OF SPACE CHARGE DOMINATED BEAMS IN THE PARAXIAL APPROXIMATION
• Discontinuous Galerkin Methods for the Vlasov--Maxwell Equations
• Conservative numerical schemes for the Vlasov equation

This page was built for publication: High order time discretization for backward semi-Lagrangian methods