Absorbing boundary conditions for the Euler and NavierStokes equations with the spectral difference method
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 NavierStokes 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.
navierstokes equations spectral difference absorbing sponge zone perfectly matched layer unstructured grids high-order methods discontinuous galerkin non-reflecting boundary condition