Steady-State Computations Using Summation-by-Parts Operators

被引：0
作者：
Magnus Svärd
Ken Mattsson
Jan Nordström
机构：
[1] Uppsala University,Department of Information Technology
[2] Uppsala University,Department of Information Technology
[3] The Swedish Defence Research Agency,Division of Systems Technology, Department of Computational Physics, Department of Information Technology
[4] Uppsala University,undefined
来源：
Journal of Scientific Computing | 2005年 / 24卷
关键词：
High order finite differences; summation-by-parts operators; convergence to steady state; stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper concerns energy stability on curvilinear grids and its impact on steady-state calulations. We have done computations for the Euler equations using fifth order summation-by-parts block and diagonal norm schemes. By imposing the boundary conditions weakly we obtain a fifth order energy-stable scheme. The calculations indicate the significance of energy stability in order to obtain convergence to steady state. Furthermore, the difference operators are improved such that faster convergence to steady state are obtained.
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页码：79 / 95
页数：16
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