A semi-Lagrangian discontinuous Galerkin method for drift-kinetic simulations on GPUs

Publication date: 24 April 2024

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

GPGPU semi-Lagrangian discontinuous Galerkin methods conservative numerical methods drift-kinetic simulation general purpose computing on graphic processing units

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Parallel numerical computation (65Y05) Complexity and performance of numerical algorithms (65Y20) Numerical analysis (65-XX)

Cites Work

Numerical comparisons of gyrokinetic multi-water-bag models
High-order Hamiltonian splitting for the Vlasov-Poisson equations
Comparison of Eulerian Vlasov solvers
Hamiltonian splitting for the Vlasov-Maxwell equations
A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid
The semi-Lagrangian method for the numerical resolution of the Vlasov equation
A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional transport simulations
Exponential methods for solving hyperbolic problems with application to collisionless kinetic equations
High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics
An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics
A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions
A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting
A drift-kinetic semi-Lagrangian 4D code for ion turbulence simulation
Parallel kinetic scheme for transport equations in complex toroidal geometry
Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson
Vlasov on GPU (VOG project)
Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
Gyrokinetic approach in particle simulation
Stability of Semi-Lagrangian schemes of arbitrary odd degree under constant and variable advection speed
Convergence Analysis of Strang Splitting for Vlasov-Type Equations
Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov--Poisson Equations
An exponential integrator for the drift-kinetic model

This page was built for publication: A semi-Lagrangian discontinuous Galerkin method for drift-kinetic simulations on GPUs