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Numerical solution of the heat advection equation in a two-dimensional domain using the discontinuous Galerkin method

Węgrzyn-Skrzypczak Ewa

Journal of Applied Mathematics and Computational Mechanics

2023

Vol. 22, nr 3

57--68

This paper presents a numerical solution of the heat advection equation in a two dimensional domain using the Discontinuous Galerkin Method (DGM). The advection equation is widely used in heat transfer problems, particularly in the field of fluid dynamics. The discontinuous Galerkin method is a numerical technique that allows for the solution of partial differential equations using a piecewise polynomial approximation. In this study, DGM is applied to the heat advection equation and its effectiveness in solving the problem is investigated. The findings of this study suggest that the Discontinuous Galerkin Method is a promising approach for solving heat transfer problems in a two-dimensional domain.