Numerical Solutions of Steady Tensorial Transport Equations Using Discontinuous Galerkin Method Implemented in FreeFem++

Authors

  • K. M. Helal Comilla University

DOI:

https://doi.org/10.3329/jsr.v8i1.24960

Keywords:

Transport equations, Finite element method, Discontinuous Galerkin method, FreeFem .

Abstract

Abstract

The main purpose of this paper is to approximate the solution of the steady tensorial transport equations using discontinuous Galerkin finite element method implemented with the finite element solver FreeFem++. After introducing the formulations of the tensorial transport equations, the analysis of its componentwise equations, i.e., advection-reaction equations have been discussed. Discretizing the transport problem using discontinuous Galerkin finite element method, the iterative fixed-point method is used to obtain the solutions. We present the numerical simulations of two-dimensional benchmark problem and observe the instability of elasticity. All the simulations are done using the script developed in FreeFem++.

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Author Biography

K. M. Helal, Comilla University

 

Department of Mathematics

Comilla University

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Published

2016-01-01

How to Cite

Helal, K. M. (2016). Numerical Solutions of Steady Tensorial Transport Equations Using Discontinuous Galerkin Method Implemented in FreeFem++. Journal of Scientific Research, 8(1), 29–39. https://doi.org/10.3329/jsr.v8i1.24960

Issue

Section

Section A: Physical and Mathematical Sciences