非圧縮粘性流体のいくつかの差分解析法

抄録

Some finite-diffrence methods, which use primitive variables, are proposed to solve incompressible fluid flow. Especially, two methods are developed: one is to calculate the accurate pressure field immediately after the fluid starts to flow (two-step method); the other allows a larger time-step than the corresponding explicit method (non-iterative implicit method). As a numerical example, the two-dimensional transient Womersley flow is calculated. It is shown that the two-step method can calculate flow field from the instance when the fluid starts to flow, and the non-iterative implicit method requires less amounts of computer time compared with the explicit method.