|Title:||Null-field boundary integral equation approach for hydrodynamic scattering by multiple circular and elliptical cylinders||Authors:||J. W. Lee
|Keywords:||null-field boundary integral equation;degenerate kernel;Mathieu function;hydrodynamic scattering;elliptical cylinders||Issue Date:||10-Jan-2010||Publisher:||The 8th Asian Computational Fluid Dynamics Conference||Conference:||The 8th Asian Computational Fluid Dynamics Conference||Abstract:||
In this paper, the null-field boundary integral formulation in conjunction with the degenerate kernel and the Mathieu function in the elliptic coordinates is proposed to solve the hydrodynamic scattering problem by multiple circular and elliptical cylinders. Based on the adaptive observer system, the present method can solve the water wave problem containing circular and elliptical cylinders at the same time in a semi-analytical manner. The closed-form fundamental solution is expressed in terms of the degenerate kernel in the polar and elliptic coordinates for circular and elliptical cylinders, respectively. Several examples are demonstrated to see the validity of the semi-analytical approach.
The 8th Asian Computational Fluid Dynamics Conference, Hong Kong, 10-14 January, 2010
|Appears in Collections:||河海工程學系|
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