Article ID Journal Published Year Pages File Type
521150 Journal of Computational Physics 2006 26 Pages PDF
Abstract

In this paper errors arising from spatial and temporal discretization are discussed. A new formulation to optimize time integration schemes is proposed. The new optimization also takes the errors coming from the spatial discretization into account, which leads to a minimization of the total errors. It is applicable to central and upwind type spatial discretizations. A six stage Runge–Kutta scheme is optimized for central and upwind spatial discretizations. Its efficiency is demonstrated on a one dimensional convection equation and on a Linearized Euler problem. The results indicate an important improvement.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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