Method of solving the non-uniformly discretized Poisson equation

摘要

A simulation method utilizing a Cartesian grid comprises: a process in which a model of a two or three-dimensional space is defined as a Cartesian grid composed of cells; a process in which, based on a physical value and condition associated with the Cartesian grid, a Poisson equation is defined; and a process in which, the physical value is calculated by approximately solving the Poisson equation. The calculating process comprises: a step of calculating an error by using a Block-Cyclic Reduction Algorithm; a step of testing whether the calculated error is within a predetermined acceptable range or not; and a step of correcting a variable φ by the use of a correction parameter if the calculated error is outside the predetermined acceptable range. The calculating process repeats the error calculating step, testing step and error correcting step until the error becomes within the predetermined acceptable range.