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http://dx.doi.org/10.3744/SNAK.2002.39.1.008

Analysis of Steady Flow Around a Two-Dimensional Body Under the Free Surface Using B-Spline Based Higher Order Panel Method  

Jae-Moon Lew (충남대학교)
Yang-Ik Kim (현대중공업)
Publication Information
Journal of the Society of Naval Architects of Korea / v.39, no.1, 2002 , pp. 8-15 More about this Journal
Abstract
A two-dimensional higher order panel method using B-splines has been developed to overcome the disadvantages of the low order panel method and to obtain more accurate solution. The sources and the normal dipoles are distributed on both the body and the free surface. Instead of applying the upwind finite difference schemes to satisfy the linearized free surface and the radiation condition, the derivatives of the basis functions of the B-splines are directly applied to the linearized free surface condition. Numerical damping in the Dawson's method are avoided in the Present computations. In order to validate the present method, numerical computations are carried out for a submerged cylinder and a two-dimensional hydrofoil steadily moving beneath a free surface. The numerical results show that fast convergence and better accuracies have been achieved by the present method.
Keywords
B-spline based higher order panel method; Low order panel method; numerical damping; linearized free surface condition; Dawson's method;
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