Numerical simulation with anisotropic local grid refinement

摘要

A method for assessing wave propagation arising in a physical system by obtaining a numerical approximation of the physical system to be simulated, the method comprisingdefining a computational domain comprising a first grid (80) having at least two dimensions and a plurality of first-grid cells (S1,S2,...), and a second grid (82) having at east two dimensions and a plurality of second-grid cells (S4), wherein the second grid is a refinement of at least part of the first grid, and wherein each of the first-grid cells and second-grid cells has one or more solution points at which values representing a physical quantity of the physical system to be simulated may be obtained, wherein defining the computational domain comprises defining the second grid to have a first refinement factor compared to the first grid in one of the at least two dimensions and to have a second refinement factor compared to the first grid in another of the at least two dimensions, and defining the first refinement factor to be different from the second refinement factor; andperforming an update procedure to obtain a value for at least one solution point of every cell at a given stage in time.