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Research on Boussinesq Equations in Orthogonal Curvilinear Coordinate System |
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Abstract: In this paper, based on the mass conservation equation and Euler's equation, the modified form of Boussinesq equations is derived, which includes the effects of bottom friction, wave breaking and subgrid turbulent mixing. Through transferring the governing equations and boundary condition by orthogonal curvilinear coordinate, a 2D wave model in orthogonal curvilinear coordinate systems is established. The numerical model is tested by computing wave field for several experiment terrain, and agreement between model results and available experimental data is found to be quite reasonable, which demonstrates the model's ability to simulate wave shoaling, refraction, diffraction and reflection et etc.
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Received: 30 March 2009
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