粘性不可压流场数值模拟的无网格方法

采用无网格伽辽金法(elementfreeGalerkinmethod,EFG)对二维不可压粘性流场进行了数值模拟,主要计算了几个经典的流体力学问题:管道流、绕台阶流以及方腔驱动流。计算中采用标准的Galerkin离散,使用规则分割产生的背景网格来形成积分单元,并与有限元、有限差分法计算所得的速度剖面图进行了比较,结果相差很小。更重要的是,与有限元法相比,无网格虽然计算量比较大,但是它能够处理结点分布畸形甚至重合的情况,从而为解决多相流动直接数值模拟中网格重构的问题奠定基础。

Meshless method for the simulation of viscous, incompressible flows

This paper uses the Element Free Galerkin (EFG) method to simulate viscous, incompressible 2-D flows. Several classical problems in fluid mechanics are presented including: flow in a pipe, flow past a step, and flow in a square chamber. The control equations were discretized using standard Galerkin method with regular background cells used for the quadrature. The flow field computed using EFG compared well with those computed using FEM and FDM methods. EFG is more expensive computationally than FEM, but it can deal with cases where the nodes are poorly distributed or even overlapped, so it can be used to resolve remeshing problems in direct numerical simulations.