Comparison of structured- and unstructured-grid, compressible and incompressible methods using the vortex pairing problem

摘要: The accuracy, robustness, dissipation characteristics and efficiency of several structured unstructured grid methods are investigated with reference to the low Mach double vortex pairing flow problem. aim study is shed light into numerical advantages disadvantages different discretizations, principally designed for shock-capturing, in vortical flows. include finite volume Lagrange-Remap methods, accuracy ranging from 2nd 9th-order, without applying low-Mach corrections. Comparison schemes presented evolution, momentum thickness, as well their versus viscous total dissipation. shows that thickness large scale features a basic structure resolved even at lowest resolution 32×32 provided high-order or framework sufficiently non-dissipative. implementation triangular meshes provides best results number corrections higher-order advective discretization fluxes employed. compressible computationally fastest one, although error does not reduce fast other computational frameworks, e.g., when utilized. It also shown correction has lesser effect on order spatial increases.