Fully nonlinear ship-wave computations using a multipole accelerated desingularized method.

摘要

The inviscid ship-wave problem with fully nonlinear boundary conditions is solved using a multipole accelerated, Desingularized Euler-Lagrange Time-domain Approach or DELTA method. The desingularization greatly simplifies the evaluation of the boundary integrals while the multipole acceleration reduces the computational effort and storage from {dollar}O(Nsp2{dollar}) down to O(N). This allows problems with very large numbers of unknowns to be analyzed efficiently on modern workstations. These solution methods are applied to a variety of two- and three-dimensional problems including two-dimensional transom stern flow, shallow water waves incident on a vertical cylinder, wave pattern and wave resistance of a mathematical hull form, and exciting forces on the mathematical hull form in sinusoidal incident waves.