A hybrid semi-Lagrangian DG and ADER-DG solver on a moving mesh for Liouville's equation of geometrical optics
DOI10.1016/j.jcp.2023.112655MaRDI QIDQ6147009
Wilbert L. Ijzerman, Jan H. M. ten Thije Boonkkamp, Robert A. M. van Gestel, M. J. H. Anthonissen
Publication date: 31 January 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
geometrical opticslocal time steppingLiouville's equationADER discontinuous Galerkinsemi-Lagrangian discontinuous Galerkin
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
- High performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code
- Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system
- A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
- Discontinuous Galerkin spectral element approximations on moving meshes
- Adaptive multiresolution semi-Lagrangian discontinuous Galerkin methods for the Vlasov equations
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws
- An energy conservative \(hp\)-method for Liouville's equation of geometrical optics
- Correction to: ``An energy conservative \(hp\)-method for Liouville's equation of geometrical optics
- High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics
- A robust CFL condition for the discontinuous Galerkin method on triangular meshes
- A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions
- A novel scheme for Liouville's equation with a discontinuous Hamiltonian and applications to geometrical optics
- A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases
- Introduction to Quasi-Monte Carlo Integration and Applications
- Partial Differential Equations
This page was built for publication: A hybrid semi-Lagrangian DG and ADER-DG solver on a moving mesh for Liouville's equation of geometrical optics
