Techniques, tricks, and algorithms for efficient GPU-based processing of higher order hyperbolic PDEs
DOI10.1007/s42967-022-00235-9MaRDI QIDQ6593803
Harish Kumar, S. Subramanian, Deepak Bhoriya, D. S. Balsara
Publication date: 27 August 2024
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.) (68Q85) Maxwell equations (35Q61) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) PDEs in connection with astronomy and astrophysics (35Q85) PDEs in connection with computer science (35Q68)
Cites Work
- Unnamed Item
- ADER-WENO finite volume schemes with space-time adaptive mesh refinement
- Multidimensional Riemann problem with self-similar internal structure. I: Application to hyperbolic conservation laws on structured meshes
- Comparing coarray Fortran (CAF) with MPI for several structured mesh PDE applications
- A high-order relativistic two-fluid electrodynamic scheme with consistent reconstruction of electromagnetic fields and a multidimensional Riemann solver for electromagnetism
- Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics
- Multidimensional upwind methods for hyperbolic conservation laws
- On Godunov-type methods near low densities
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magneto\-hydrodynamics
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- Restoration of the contact surface in the HLL-Riemann solver
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- ADER: Arbitrary high-order Godunov approach
- An efficient class of WENO schemes with adaptive order
- Multidimensional Riemann problem with self-similar internal structure. Part III: A multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems
- Computational electrodynamics in material media with constraint-preservation, multidimensional Riemann solvers and sub-cell resolution. I: Second-order FVTD schemes.
- Computational electrodynamics in material media with constraint-preservation, multidimensional Riemann solvers and sub-cell resolution. II: Higher order FVTD schemes
- ADER schemes for three-dimensional non-linear hyperbolic systems
- Efficient implementation of weighted ENO schemes
- Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes -- speed comparisons with Runge-Kutta methods
- Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
- A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows
- Total-Variation-Diminishing Time Discretizations
- Solution of the generalized Riemann problem for advection–reaction equations
- Divergence-free adaptive mesh refinement for magnetohydrodynamics.
This page was built for publication: Techniques, tricks, and algorithms for efficient GPU-based processing of higher order hyperbolic PDEs