Numerical Solutions of a Gas Concentration Field Based on the Superposition Theory of Partial Differential Equations
Abstract：A new method of numerically calculating a gas concentration field is proposed. It is based on the superposition theory of partial differential equations and included complex bounda-ry conditions and sources. The transportation equations of a given velocity field are linear con-vective and diffusive ones if the impact of the gas-concentration field on the velocity is ignored. This is true where a linear superposition theory exists. The concentration field with complex boundary conditions and sources was first divided into several different concentration field problems having simple boundary conditions and sources. A numerical simulation was carried out on each simple problem to obtain a solution. Finally, the solutions of these simple prob-lems were linked to provide a solution of the complete problem. This new method can reduce the number of simulations required and thus saves much time.
Keywords：superposition theoryboundary conditionvelocity fieldconcentration field
Publication Date：2009-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：4( 806-809 )