Development of an incompressible, laminar flowsolver based on least squares spectral element methodwith p-type adaptive refinement capabilities

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2010
Özçelikkale, Altuğ
The aim of this thesis is to develop a flow solver that has the ability to obtain an accurate numerical solution fast and efficiently with minimum user intervention. In this study, a two-dimensional viscous, laminar, incompressible flow solver based on Least-Squares Spectral Element Method (LSSEM) is developed. The LSSEM flow solver can work on hp-type nonconforming grids and can perform p-type adaptive refinement. Several benchmark problems are solved in order to validate the solver and successful results are obtained. In particular, it is demonstrated that p-type adaptive refinement on hp-type non-conforming grids can be used to improve the quality of the solution. Moreover, it is found that mass conservation performance of LSSEM can be enhanced by using p-type adaptive refinement strategies while keeping computational costs reasonable.

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Citation Formats
A. Özçelikkale, “Development of an incompressible, laminar flowsolver based on least squares spectral element methodwith p-type adaptive refinement capabilities,” M.S. - Master of Science, Middle East Technical University, 2010.