Title of article :
An efficient high-order boundary element method for nonlinear wave–wave and wave-body interactions
Author/Authors :
Yan، نويسنده , , Hongmei and Liu، نويسنده , , Yuming، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Pages :
23
From page :
402
To page :
424
Abstract :
A highly efficient high-order boundary element method is developed for the numerical simulation of nonlinear wave–wave and wave-body interactions in the context of potential flow. The method is based on the framework of the quadratic boundary element method (QBEM) for the boundary integral equation and uses the pre-corrected fast Fourier transform (PFFT) algorithm to accelerate the evaluation of far-field influences of source and/or normal dipole distributions on boundary elements. The resulting PFFT–QBEM reduces the computational effort of solving the associated boundary-value problem from O(N2∼3) (with the traditional QBEM) to O(N ln N) where N represents the total number of boundary unknowns. Significantly, it allows for reliable computations of nonlinear hydrodynamics useful in ship design and marine applications, which are forbidden with the traditional methods on the presently available computing platforms. The formulation and numerical issues in the development and implementation of the PFFT–QBEM are described in detail. The characteristics of accuracy and efficiency of the PFFT–QBEM for various boundary-value problems are studied and compared to those of the existing accelerated (lower- and higher-order) boundary element methods. To illustrate the usefulness of the PFFT–QBEM, it is applied to solve the initial boundary-value problem in the generation of three-dimensional nonlinear waves by a moving ship hull. The predicted wave profile and resistance on the ship are compared to available experimental measurements with satisfactory agreements.
Keywords :
Pre-corrected fast Fourier transform , Nonlinear wave-body interaction , High-order boundary element method , Nonlinear wave dynamics , ship hydrodynamics
Journal title :
Journal of Computational Physics
Serial Year :
2011
Journal title :
Journal of Computational Physics
Record number :
1483044
Link To Document :
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