Volume 3, Issue 1, February 2017, Page: 1-15
An Element-Driven Boundary Integral Treatment for Nonlinearity: A Coupled Nonlinear Two-Dimensional Burger’s Equation Test Case
Okey Oseloka Onyejekwe, Computational Science Program Addis Ababa University Arat Kilo Campus, Addis Ababa, Ethiopia
Received: Dec. 11, 2016;       Accepted: Dec. 26, 2016;       Published: Jan. 24, 2017
DOI: 10.11648/j.ijfmts.20170301.11      View  2978      Downloads  152
Abstract
To further improve on the competitiveness of the boundary element method (BEM), a hybrid version of it is used for a numerical solution of two dimensional nonlinear coupled viscous Burger’s equation. Adopting this approach to a discretized 2D spatial domain, the resulting integral equations arising from the singular integral theory are applied locally to each of the elements. The resulting nonlinear discrete equations are finally solved by the Picard iteration algorithm. The simulation results obtained, not only concur with analytical solutions, but also display high accuracy and are in agreement with those available in literature.
Keywords
Two Dimensional, Coupled Nonlinear Burger’S Equation, Hybrid Boundary Element Method, Integral Equation, Singular Integral Theory, Discretization
To cite this article
Okey Oseloka Onyejekwe, An Element-Driven Boundary Integral Treatment for Nonlinearity: A Coupled Nonlinear Two-Dimensional Burger’s Equation Test Case, International Journal of Fluid Mechanics & Thermal Sciences. Vol. 3, No. 1, 2017, pp. 1-15. doi: 10.11648/j.ijfmts.20170301.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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