Changhong Hu
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MATHEMATICS COLLOQUIUM
Speaker: Changhong Hu Abstract. A Cartesian grid method has been developed for numerical simulation of strongly nonlinear wave-body interaction problems. To achieve this goal, difficulties such as large density ratio, oscillation-free advection scheme, mass-conservative free surface capturing method, immersed boundary treatment for floating bodies, jump condition treatment on free surfaces, etc., have to be resolved. In our approach, the CIP method is applied to the flow solver to treat large density ratio flows. THINC scheme is improved for the free surface capturing. We have developed a new efficient immersed boundary method to calculate moving bodies, in which the body surface is tracked by level set signed distance function. A simple mapping method is proposed to avoid costly signed distance re-initialization computations. This method is efficient for both rigid and deformable structures, and can be extended to 3-D case easily. In this presentation, our numerical approach will be described at first. Numerical results on several benchmark cases will be presented to demonstrate the accuracy and efficiency of the CFD method. Numerical simulation results of a ship or a floating wind turbine platform in large waves are also presented and compared with the experiments. |