Dispersion Relation Preserving Combined Compact Difference Schemes for Flow Problems

作者：Yu, C. H.; Bhumkar, Yogesh G.; Sheu, Tony W. H.^*

来源：Journal of Scientific Computing, 2015, 62(2): 482-516.

DOI：10.1007/s10915-014-9864-7

• Combined compact difference schemes
• Dispersion relation preserving schemes
• Lid driven cavity
• q-waves
• Aliasing error

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.

• 出版日期2015-2
• 单位浙江大学