Computation of cobblestone effect with unsteady viscous flow under a rigid stern seal bag of an SES

In order to estimate the unsteady pressure distribution on a stern seal bag, of an SES, a viscous flow solver for numerically simulating two dimens incompress flows has been developed. The governing equations to be solved are the time-dependent Navier-Stokes equations with the artificial compressibility approach. The spatial discretization is based on a cell-centered finite volume formulation. The inviscid fluxes are evalueted by Roe's scheme with the third-order accurate MUSCL approach. Time integration is conducted by the second order acc urate backward Euler formula and the linear equation system is solved by an approximate Newton relaxation scheme with the symmetric Gauss-Seidel iteration approach. For the resulting time integration to be conservative on a moving grid system, Geometric Conservation Law (GCL) is introduced. Numerical procedure is presented and contributions of the viscous effects to the cobblestone effect problem are discussed.