NUMERICAL METHODS FOR INVISCID/VISCOUS FLUID FLOWS

摘要

A study of numerical schemes for solving viscous fluid flow problems with sizable regions of predominantly inviscid flow is presented. Difficulties associated with the familiar central difference approach for such problems are analyzed and alternative finite difference approaches employing wind ward concepts are presented. In addition, difference relations based on exponential operators are developed. All such schemes are demonstrated and evaluated through application to the case of Falkner Skan flow with blowing - a problem in which a sizable region of predominantly inviscid flow developes near the injection surface that traditionally causes numerical difficulty. From these studies it is concluded that the exponential-box-scheme (EBS) developed here provides a definite advantage over the other schemes studied.