基于变量分离的修正有限元数值计算

Finite element numerical computation based on variable segregated method

采用有限元方法直接求解粘性不可压缩流动N S耦合方程 ,本文从离散化的动量方程和连续方程出发 ,得到了替代连续方程的压力简化统一方程 ,将各个求解变量分离开来 ,建立起直接从方程中求解压力场的有限元数值计算方法 ,有效地消除了压力场的伪震荡。通过对层流和紊流典型算例的分析比较 。

The Navier-Stokes equations for the incompressible viscous flows were solved with the finite element method. The simplied consistent pressure equation was derived from the discretized momentum and continuity equations. The numerical simulation, the variables of velocity and pressure were segregated, and pressure field was directly obtained from the governing equations. Some examples for laminar flows or turbulent flows were given, which show that the scheme can alleviate the spurious pressure effectively and the numerical results is satisfactory.