Abstract: A program generating method for automatically generating a program used in a simulation of a physical phenomenon by using computers, wherein inputted information such as the shape of a domain where the physical phenomenon such as that in a fluid takes place, mesh division information therefor, a partial differential equation dominantly representing the physical phenomenon and boundary conditions thereof are inputted, differential operators included in the inputted partial differential equation and an equation representing the boundary condition are expanded to generate discrete equations and the generated discrete equations are coded to automatically generate simulation programs.

Abstract: The entry of a problem describing program is assisted by a database or a display screen. An error in numerical calculation of the input problem describing program is automatically checked. A simulation program which interrupts the execution of a process requsted by a statement in the problem describing program which a user designates as a break point when the simulation program executes the process is automatically generated. At the time of interruption, the execution status of the simulation is diagnosed upon the user's request.

Abstract: A method is provided for automatically generating a simulation program which numerically solves a partial differential equation which governs a physical quantity in a non-rectangular real space domain. The real partial differential equation is solved according to a boundary-fitted method by first transforming the original partial differential equation from a real space to a normal space. The upper limit of user work area memory available on the data processing apparatus and the number of mesh points extracted from the real space domain shape are considered in the transformation and to an extent control the transformation rule. Two program statements are thus generated, the first of which allocates data area for the particular variables in the work area memory. The second program statement defines the value of each variable in terms of one factor.