On Consistency of Finite Difference Approximations to the Navier-Stokes Equations

摘要: In the given paper, we confront three finite difference approximations to Navier—Stokes equations for two-dimensional viscous incomressible fluid flows. Two of these were generated by computer algebra assisted method proposed based on volume method, numerical integration, and elimination. The third approximation was derived standard replacement temporal derivatives with forward differences spatial central differences. We prove that only one is strongly consistent present our tests which show this has a better behavior than other two.