Finite Volume Numerical Simulation For A Kind Of Incompressible Fluid Flowing Model

In this paper, we first discuss the following un-steady stokes equation by discontinuous finite volume method on the basis of Ye Xiu's work about the steady stokes problem. The semi-discretization and fully discretization discontinuous finite volume procedures for this problem are proposed, and we define the interpolated projection and give the error analysis. Also the theoretical analysis shows that we can obtain the optimal order error estimates in discrete form of H1-norm and L2-norm for the solution of the semi-discretization and fully discretization discontinuous finite volume method.Then we extend the covolume method based on S.H.Chou's work about the steady stokes problem to the un-steady Navier-stokes equation The semi-discretization and fully discretization un-harmonize finite volume proce-dures for this problem are proposed, and we define the interpolated projection and give the error analysis. Also the theoretical analysis shows that we can obtain the optimal order error estimates in discrete form of H1-norm and L2-norm for the so-lution of the semi-discretization and fully discretization un-harmonize finite volume method.