USE OF MULTI-SCALAR ANALYSIS FOR BUILDING LATTICE MODELS OF PDE'S∗

Abstract

A new class of methods of building lattice models have been developed recently in numerical simulation of fluid dynamics. Their essential idea is model-rebuilding and direct simulating of mathematical physical problems based on the kinetic description of physical systems. Following the work in fluid dynamics, extensions of the methods to some typical mathematical physical equations have been made. In this paper, a theoretical framework for building lattice models of general partial differential equations is proposed.