DEVELOPMENT AND APPLICATION OF AN INTEGRAL METHOD FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

被引：0

作者：

NAIR, M

PAYNE, FR

机构：

[1] Department of Aerospace Engineering, University of Texas at Arlington, Arlington

来源：

MATHEMATICAL AND COMPUTER MODELLING | 1990年 / 14卷

关键词：

ELLIPTIC EQUATIONS; DIRECT; FORMAL INTEGRATION; INCOMPRESSIBLE NAVIER-STOKES; CHANNEL FLOW; DRIVEN CAVITY;

D O I：

10.1016/0895-7177(90)90277-T

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new integral approach to solving linear elliptic equations was first developed and then applied to the nonlinear incompressible Navier-Stokes(NS) equations. For the NS equations the Direct, Formal Integration (DFI) method was applied to calculate the velocity and pressure, in a rectangular channel and in a driven cavity. For the calculation of pressure, three techniques were incorporated into the DFI scheme. Abdallah's method for calculating the pressure, with DFI, was computationally most efficient for the channel flow problem. For the driven cavity experiment, DFI with "SIMPLE" was the best. In all cases, the divergence-free constraint served as a check and convergence criteria.

引用

页码：728 / 731

页数：4

共 14 条

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