控制体有限元方法中质量加权迎风格式的迁延修正

控制体有限元方法对于处理流动问题提供了一种较好的数值模拟方法，但对于大Ｒｅｙｎｏｌｄｓ数的回流流动问题，该方法在采用各种迎风格式时仍存在着严重的假扩散．为此，对二维质量加权迎风格式，给出了一种由插值单元及其一个与插值点最靠近的相邻单元所确定的多项式插值格式迁延修正的形式．通过对Ｒｅ＝４００、１０００、５０００三种情形的二维空穴流问题的计算，表明该格式可有效地减少控制体有限元方法对回流问题数值模拟的假扩散．

Deferred Correction Approach for Mass Weighted Upwind Scheme in Control Volume Finite Element Method

Although the control volume finite element method is efficient for the simulation of most fluid flow problems, severe false diffusion prevails for high Re recirculating flow because of inadequate treatment of convection term. Using an interpolated and a neighbor element, a deferred correction approach is applied with a high polynomial interpolation for mass weighted upwind scheme. Numerical tests of lid driven cavity flow for Re =400, 1 000, 5 000 show that the approach can reduce false diffusion of the control volume finite element method when it is applied to recirculation fluid flow problems.