Absorbing boundary conditions for the Euler and Navier-Stokes equations with the spectral difference method

作者：Zhou Ying^*; Wang Z J

来源：Journal of Computational Physics, 2010, 229(23): 8733-8749.

DOI：10.1016/j.jcp.2010.08.007

• High-order methods
• Navier-Stokes equations
• Unstructured grids
• Spectral difference
• Discontinuous Galerkin
• Non-reflecting boundary condition
• Absorbing sponge zone
• Perfectly matched layer

Two absorbing boundary conditions, the absorbing sponge zone and the perfectly matched layer, are developed and implemented for the spectral difference method discretizing the Euler and Navier-Stokes equations on unstructured grids. The performance of both boundary conditions is evaluated and compared with the characteristic boundary condition for a variety of benchmark problems including vortex and acoustic wave propagations. The applications of the perfectly matched layer technique in the numerical simulations of unsteady problems with complex geometries are also presented to demonstrate its capability.

• 出版日期2010-11-20