Characteristic finite analytic method (CFAM) for incompressible Navier-Stokes equations

Abstract

Summary. Along its characteristics, the Navier-Stokes equations are reduced to a diffusion equation. In this work, the analytic solution of the diffusion equation is applied to construct its finite analytic method (FAM) in space-time domain. Then, it is applied along those characteristics to efficiently simulate the Navier-Stokes equations. CFAM is therefore introduced. This method is verified by 2-D and 3-D driven cavity flows. A comparison of our result with existing computational data is made, and good agreement is found. The result also shows many details of 2-D and 3-D streamline structures.