A finite volume method for solving Navier-Stokes problems

作者:Mu Lin; Ye Xiu*
来源:Nonlinear Analysis-Theory Methods & Applications, 2011, 74(17): 6686-6695.
DOI:10.1016/j.na.2011.06.048

摘要

We develop a finite volume method for solving the Navier-Stokes equations on a triangular mesh. We prove that the unique solution of the finite volume method converges to the true solution with optimal order for velocity and for pressure in discrete H(1) norm and L(2) norm respectively.