A two-grid artificial viscosity method for solving the pressure projection of Navier-Stokes equations with a high Reynolds number is put forth.

Two different ways are used to stabilize the numerical oscillations in predicting the mean pressures on large-span roofs: artificial viscosity techniques and low-order upwind scheme.

In order to improve the numerical simulation of an underwater blast wave, some parameters which have effect on the simulation, such as equation of state(EOS), element density and artificial viscosity, were analyzed.

In this scheme, through a proper modification of the additional terms, relative to the general Galerkin FEM formulation which was generated from the transformation of high order temporal derivatives in the Taylor expansion of the first order time derivatives to spatial derivates, the real effect of artificial viscosity is introduced.

Based on the method of artificial compressibility,a numerical method is studied for three-dimensional incompressible viscous flow over the riblet configurations,employing the Baldwin-Barth one-equation turbulence model,using implicit scheme for time terms and a third-order flux-difference splitting technique for the convective terms.