Short note: a new minimum storage Runge-Kutta scheme for computational acoustics

Authors:
M. Calvo;J. M. Franco;L. Rández
Affiliations:
Departamento de Matemática Aplicada, Pza. San Francisco s/n, Universidad de Zaragoza, 50009 Zaragoza, Spain;Departamento de Matemática Aplicada, Pza. San Francisco s/n, Universidad de Zaragoza, 50009 Zaragoza, Spain;Departamento de Matemática Aplicada, Pza. San Francisco s/n, Universidad de Zaragoza, 50009 Zaragoza, Spain
Venue:
Journal of Computational Physics
Year:
2004

Citing 7
Cited 12

Explicit Runge-Kutta (-Nystro¨m) methods with reduced phase errors for computing oscillating solutions

SIAM Journal on Numerical Analysis
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems

Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics

Journal of Computational Physics
Explicit Runge-Kutta methods for initial value problems with oscillating solutions

Journal of Computational and Applied Mathematics
2N-storage low dissipation and dispersion Runge-Kutta schemes for computational acoustics

Journal of Computational Physics
Optimal Runge-Kutta methods for first order pseudospectral operators

Journal of Computational Physics
Low-storage, Explicit Runge-Kutta Schemes for the Compressible Navier-Stokes Equations

Low-storage, Explicit Runge-Kutta Schemes for the Compressible Navier-Stokes Equations

Optimization of time integration schemes coupled to spatial discretization for use in CAA applications

Journal of Computational Physics
High-accuracy large-step explicit Runge-Kutta (HALE-RK) schemes for computational aeroacoustics

Journal of Computational Physics
A general strategy for the optimization of Runge-Kutta schemes for wave propagation phenomena

Journal of Computational Physics
Parallel Implementation of Runge---Kutta Integrators with Low Storage Requirements

Euro-Par '09 Proceedings of the 15th International Euro-Par Conference on Parallel Processing
High-order W-methods

Journal of Computational and Applied Mathematics
Runge-Kutta methods with minimum storage implementations

Journal of Computational Physics
Optimal time advancing dispersion relation preserving schemes

Journal of Computational Physics
Nonuniform time-step Runge-Kutta discontinuous Galerkin method for Computational Aeroacoustics

Journal of Computational Physics
CFL Conditions for Runge-Kutta discontinuous Galerkin methods on triangular grids

Journal of Computational Physics
Parallel Low-Storage Runge-Kutta Solvers for ODE Systems with Limited Access Distance

International Journal of High Performance Computing Applications
Optimal Runge-Kutta schemes for discontinuous Galerkin space discretizations applied to wave propagation problems

Journal of Computational Physics
On some new low storage implementations of time advancing Runge-Kutta methods

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	31.49

Visualization

Abstract

A new fourth-order six-stage Runge-Kutta numerical integrator that requires 2N-storage (N is the number of degrees of freedom of the system) with low dissipation and dispersion and a relatively large stability interval is proposed. These features make it a suitable time advancing method for solving wave propagation problems in Computational Acoustics. Some numerical experiments are presented to show the favourable behaviour of the new scheme as compared with the LDD46 and LDD25 methods proposed by Stanescu and Habashi [J. Comput. Phys. 143 (1998) 674] and the standard fourth order Runge-Kutta method.