IMPROVEMENT IN PERFORMANCE AND ACCURACY OF STABLE EXPLICIT DIFFUSION

摘要

PROBLEM TO BE SOLVED: To solve the problem with numerical simulation of diffusion dominated physical phenomena in which: explicit methods are very simple to implement, computationally inexpensive and highly parallelizable, but need to satisfy a stringent CFL constraint, and thus can require extremely small time steps for spatial grids with small sized elements, severely affecting the simulation efficiency.;SOLUTION: Methods, computer program products and systems can be used to simulate physical processes. One of the methods includes determining an input flux to be applied to a first element. The method includes determining an applied flux, the applied flux being an amount of flux that can be applied to the first element without causing numerical instability. The method includes determining a balance flux, the balance flux being the difference between the input flux and the applied flux. The method also includes providing the balance flux to a second element.;SELECTED DRAWING: Figure 8;COPYRIGHT: (C)2020,JPO&INPIT