Numerical Solution of Irrotational Fluid Flow Problem Using Finite Element Method

Rajesh Kumar Pal

doi:https://doi.org/10.14445/22315373/IJMTT-V62P507

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 62 | Number 1 | Year 2018 | Article Id. IJMTT-V62P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V62P507

Numerical Solution of Irrotational Fluid Flow Problem Using Finite Element Method

Rajesh Kumar Pal

Citation :

Rajesh Kumar Pal, "Numerical Solution of Irrotational Fluid Flow Problem Using Finite Element Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 62, no. 1, pp. 36-45, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V62P507

Abstract

The Finite Element Method has its advancement over other finite difference methods due to taken into consideration the irregular shape domain of problem. The domain of interest on which problem is defined has to be subdivided into sub domains. Herein, two irregular-shaped domain are considered and elliptic equations are solved in each domain with the boundary conditions having varies nature i.e. Dirichlet, Neumann and mixed conditions are applied. Detail discretisation of Finite Element Method and Weighted Residual Techniques are also discussed with their prerequisite conditions. So this Method is a novel fast elliptic solver that can serves as a feasible alternative for numerical solutions and the results compare well with those of [18].

Keywords

Poisson’s equation, Weighted Residual Techniques, Finite Element Methods, Galerkin method

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