Method of automatic generation of a computer for numerical simulation of physical phenomenon

摘要

The partial differential equations inputted with respect to an unknown quantity A are processed according to the finite element method in which simultaneous first-order equations equivalent to the partial differential equations are obtained, and then a matrix equation equivalent to the simultaneous first-order equations, namely, (kij) (ai)=(di) is processed to derive a coefficient {aj} so as to generate a program which calculates the unknown quantity A. For each group of a plurality of elements, the program calculates a contribution determined by the positions of the nodes associated with the elements with respect to a portion of matrix element group such as klm and kll and a portion of constant group such as dl and dm determined by the numbers assigned to a plurality of nodes contained in the group of a plurality of elements and then generates the final values of the matrix element group {kij} and the constant {di} from the contribution calculated for each group of a plurality of elements.