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
Volume 3, Issue 1, February 2017, Pages: 1-15
Received: Dec. 11, 2016; Accepted: Dec. 26, 2016; Published: Jan. 24, 2017
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Okey Oseloka Onyejekwe, Computational Science Program Addis Ababa University Arat Kilo Campus, Addis Ababa, Ethiopia
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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.
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
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