| New Derivation of Ordinary Differential Equations for Transient Free-Surface Green Functions |
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| 作者单位： | DUAN Wenyang and DAI YishanCollege of Shipbuilding Engineering，Hurbin Engineering University，Harbin 150001，China |
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| 摘 要： | Based on the Laplace transform, a direct derivation of the ordinary differential equations for the three-dimensional transient free-surface Green function in marine hydrodynamics is presented. The results for the 3D Green function and all its spatial derivatives are a set of fourth-order ordinary differential equations, which are identical with that of Clement (1998). All of these results may be used to accelerate numerical computation for the time-domain boundary element method in marine hydrodynamics.
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New Derivation of Ordinary Differential Equations for Transient Free-Surface Green Functions |
| |
| Authors: | DUAN Wenyang DAI Yishan |
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| Abstract: | Based on the Laplace transform, a direct derivation of the ordinary differential equations for the three-dimensional transient free-surface Green function in marine hydrodynamics is presented. The results for the 3D Green function and all its spatial derivatives are a set of fourth-order ordinary differential equations, which are identical with that of Clement (1998). All of these results may be used to accelerate numerical computation for the time-domain boundary element method in marine hydrodynamics. |
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| Keywords: | marine hydrodynamics time-domain Green function ordinary differential equation Laplace transform |
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