A Taylor-Galerkin Method for Modeling Unsteady Fluid Flow Under its Own Weight |
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| Authors: | NAOYA OGAWA YOJI SHIMAZAKI |
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| Institution: | Department of Civil Engineering , Tokai University , 1117 Kitakaname, Hiratsuka, 259-12, Japan |
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| Abstract: | The free fluid-surface of incompressible creeping flows is analyzed using a finite element method. A pseudo-concentration (PC) function is introduced to determine the position of the free surface. The Taylor-Galerkin finite element method (TGFEM) is applied to solve the equation of the PC function. Nine-node quadratic interpolation is used for both PC and velocity. The unsteady flows of fluids moving of their own weight are analyzed using the proposed method. |
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| Keywords: | Finite element method Unsteady flow Free surface Pseudo-concentration function |
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