Traditionally for solving the hydrodynamic coefficients of a floating body, the concerned quantity distributions of the model are discretely approximated, which usually cannot get the generality sufficiently. Thus, the paper applies the high-order panel to formulate geometry and concerned quantity in spline sense without losing generality. In the present study, we cast the source intensity distribution over body in B-Spline sense. Since that, source intensity is transformed to be formulation related to product of basis function and control points. Then the basis function is well defined and unknown control points are solved by a boundaryvalue problem (BVP). After solving the BVP, the intensity of control points would lead to the solutions of source intensity, velocity potential and hydrodynamic pressure on body. Ultimately, the relevant hydrodynamic coefficients, i.e. added mass and damping coefficient, can be obtained. Besides, integration of the B-Spline source intensity in the present BVP is performed by the Gaussian quadrature technique. To implement high-order panel, the spline information for body geometry is essential. If the shape of target geometry is simple and its variation is small, we can apply the local interpolation technique, to construct a B-Spline curve precisely to pass through a set of geometric data Through the comparisons with the computation results by tradition model, we can conclude that present high-order panel method works well through the limited control points in the spline intensity and integration point in the Gaussian quadrature technique.
|Number of pages||9|
|Journal||Journal of Taiwan Society of Naval Architects and Marine Engineers|
|Publication status||Published - 2015 Feb 1|
All Science Journal Classification (ASJC) codes
- Ocean Engineering
- Mechanical Engineering