Dispersion Relation Preserving Combined Compact Difference Schemes for Flow Problems
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- 作者：C. H. Yu ; Yogesh G. Bhumkar ; Tony W. H. Sheu
- 关键词：Combined compact difference schemes ; Dispersion relation preserving schemes ; Lid driven cavity ; q ; waves ; Aliasing error
- 刊名：Journal of Scientific Computing
- 出版年：2015
- 出版时间：February 2015
- 年：2015
- 卷：62
- 期：2
- 页码：482-516
- 全文大小：2,959 KB
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文摘
In this work, we have proposed two new combined compact difference (CCD) schemes for the solution of Navier–Stokes equations. These spatial discretization schemes have not only high spectral resolution for obtaining first and second derivative terms, but also have improved dispersion relation preserving properties when the fourth-order four-stage Runge–Kutta scheme is used for time integration. Out of the two proposed CCD schemes, the first scheme has upwind stencil, while the second scheme has a central stencil. Important numerical properties of these schemes have been analyzed and their effectiveness have been shown by solving the model wave equations, as well as Navier–Stokes equations. Results show that the upwind CCD scheme is suitable for high accuracy large eddy simulation of transitional and turbulent flowfields.