Optimized Explicit Runge--Kutta Schemes for the Spectral Difference Method Applied to Wave Propagation Problems

DOI10.1137/120885899zbMath1266.65157arXiv1207.5830OpenAlexW2963405032MaRDI QIDQ5300125

Willem Deconinck, David I. Ketcheson, Matteo Parsani

Publication date: 26 June 2013

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

Full work available at URL: https://arxiv.org/abs/1207.5830

zbMATH Keywords

spectral difference method wave propagation problems optimal explicit Runge-Kutta schemes

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Initial-boundary value problems for first-order hyperbolic systems (35L50) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (19)

A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics ⋮ Efficient computation of time-periodic compressible flows with spectral techniques ⋮ A flexible genuinely nonlinear approach for nonlinear wave propagation, breaking and run-up ⋮ Optimized explicit Runge-Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics ⋮ Third-order paired explicit Runge-Kutta schemes for stiff systems of equations ⋮ On the performance of relaxation and adaptive explicit Runge-Kutta schemes for high-order compressible flow simulations ⋮ Optimal explicit Runge-Kutta time stepping for density-based finite-volume solvers ⋮ Optimal embedded pair Runge-Kutta schemes for pseudo-time stepping ⋮ Optimization of high-order diagonally-implicit Runge-Kutta methods ⋮ Embedded paired explicit Runge-Kutta schemes ⋮ High-order locally a-stable implicit schemes for linear ODEs ⋮ Optimal Runge-Kutta schemes for pseudo time-stepping with high-order unstructured methods ⋮ Paired explicit Runge-Kutta schemes for stiff systems of equations ⋮ Optimal strong-stability-preserving Runge-Kutta time discretizations for discontinuous Galerkin methods ⋮ Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement ⋮ Optimal Runge-Kutta stability polynomials for multidimensional high-order methods ⋮ Large Eddy Simulation of a Muffler with the High-Order Spectral Difference Method ⋮ Optimal explicit Runge-Kutta methods for compressible Navier-Stokes equations ⋮ Optimized Runge-Kutta methods with automatic step size control for compressible computational fluid dynamics

Uses Software

This page was built for publication: Optimized Explicit Runge--Kutta Schemes for the Spectral Difference Method Applied to Wave Propagation Problems