Local Discontinuous Petrov-Galerkin Method in Air Pollution Model

doi:10.19596/j.cnki.1001-246x.8192

Abstract

Abstract: A local discontinuous Petrov-Galerkin method for numerical simulation of two kinds of air pollution models is constructed. Firstly, air pollution model equations are transformed into equivalent first-order differential equations with variable substitution. Secondly, discontinuous Petrov-Galerkin method is used to solve the differential equations. The method can choose different test function and trial function space, and maintains advantages of the intermittent Petrov-Galerkin method. Compared with local discontinuous finite element method, calculation formula of the method is simpler. Numerical examples show that the method has third-order accuracy and less error than the finite volume method. The algorithm provides a practical tool for numerical simulation of air pollution models.

Key words: local discontinuous Petrov-Galerkin method, air pollution model, TVD Runge-Kutta method, numerical flux

CLC Number:

O241.82

ZHANG Xin, ZHAO Guozhong, LI Hong. Local Discontinuous Petrov-Galerkin Method in Air Pollution Model[J]. Chinese Journal of Computational Physics, 2021, 38(2): 171-182.

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