COMPUTATIONAL ACCURACY AND MESH REYNOLDS-NUMBER

被引：10

作者：

CHENG, SI

SHUBIN, G

机构：

[1] Department Of Aerospace and Mechanical Sciences, Princeton University, Princeton

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1978年 / 28卷 / 03期

关键词：

D O I：

10.1016/0021-9991(78)90056-6

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The steady-state Burgers' equation uux = (I /Re) uxx (0 ≤ x ≤ 1) with boundary values u(0) = 0 and u(1) = -1 is employed as a model equation for fluid dynamics. It is shown how different conservative discretizations of the nonlinear term uux govern the discretization error in computational results, especially when the mesh Reynolds number Re Ax is not small. For a particular choice of the nonlinear discretization, the maximum error in the computed result can attain a value at some fairly large Redx comparable to that expected at a much smaller ReΔx. The formal order of accuracy of an algorithm, in terms of either Δx or ReΔx, does not reflect the accuracy of computational results, especially when the mesh is coarse. © 1978.

引用

页码：315 / 326

页数：12