Wave propagation
From CFD-Wiki
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== Compact scheme == | == Compact scheme == | ||
== Runga Kutta == | == Runga Kutta == | ||
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| + | :<math> \frac {\partial U}{\partial t}=H </math> | ||
== Sample result == | == Sample result == | ||
[[Image:wp_result.jpg]] | [[Image:wp_result.jpg]] | ||
Revision as of 15:44, 19 September 2005
Contents |
Introduction
The 1-D wave propagation problem is used as a test case for studying the dissipation and dispersion errors in a given finite difference scheme.There are a number of schemes which can be used to solve the problem. The usage of a higher order compact stencil with a low storage 4th order Runga Kutta scheme to solve the current problem is discussed.
Compact scheme
Runga Kutta
Consider
Sample result
Reference
Williamson, Williamson (1980), "Low Storage Runge-Kutta Schemes", Journal of Computational Physics, Vol.35, pp.48–56.
Lele, Lele, S. K. (1992), "Compact Finite Difference Schemes with Spectral-like Resolution,” Journal of Computational Physics", Journal of Computational Physics, Vol. 103, pp 16–42.
