Abstract
In the multi-dimensional fluid computations for actual hydraulic problems, it is necessary to take account of the complicated boundary shapes to obtain suitable computational results. One of the effective methods is to employ the elliptic-type grid generation to transform the physical computational domain to the regular one. In this paper, a locally pseudo-unsteady model is proposed to make the grid generation much faster than the usual methods in the distributed-memory system. The non-linear equations for the grid generation are discretized by introducing psedo-time and the numerical process is divided into a time-marching outer-loop and an inner-loop in which numerical solutions for linearized elliptic equations are derived. This model allows us to decrease message passings included in the inner-loop, which largely reduces the computational load in the parallel computations using distributed memory systems. The validity of the proposed model is demonstrated in some numerical experiments.
