New derivation of ordinary differential equations for transient free-surface green functions

被引：0

作者：

Duan, WY ^{[1
]}

Dai, YS ^{[1
]}

机构：

[1] Harbin Engn Univ, Coll Shipbldg Engn, Harbin 150001, Peoples R China

来源：

CHINA OCEAN ENGINEERING | 2001年 / 15卷 / 04期

关键词：

marine hydrodynamics; time-domain; Green function; ordinary differential equation; Laplace transform;

D O I：

暂无

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

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.

引用

页码：499 / 507

页数：9

共 38 条

[21] New Lipschitz-type conditions for uniqueness of solutions of ordinary differential equations
Cid, Jose Angel
Pouso, Rodrigo Lopez
Lopez, Jorge Rodriguez
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 514 (02)
[22] A new proof of the uniqueness of the flow for ordinary differential equations with BV vector fields
Maxime Hauray
Claude Le Bris
Annali di Matematica Pura ed Applicata, 2011, 190 : 91 - 103
[23] A new proof of the uniqueness of the flow for ordinary differential equations with BV vector fields
Hauray, Maxime
Le Bris, Claude
ANNALI DI MATEMATICA PURA ED APPLICATA, 2011, 190 (01) : 91 - 103
[24] Almost-Normed Spaces of Functions with Given Asymptotics, Lagrangian Asymptotics, and Their Application to Ordinary Differential Equations
L. D. Kudryavtsev
Journal of Mathematical Sciences, 2004, 124 (4) : 5154 - 5162
[25] A method of transferring boundary conditions by Cauchy-Krylov functions for rigid linear ordinary differential equations
A. Yu. Vinogradov
Yu. A. Vinogradov
Doklady Physics, 2000, 45 : 392 - 394
[26] A method of transferring boundary conditions by Cauchy-Krylov functions for rigid linear ordinary differential equations
Vinogradov, AY
Vinogradov, YA
DOKLADY PHYSICS, 2000, 45 (08) : 392 - 394
[27] A NEW GREEN FUNCTION CONCEPT FOR FOURTH-ORDER DIFFERENTIAL EQUATIONS
Orucoglu, Kamil
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
[28] Non-geodesic filament winding: Derivation process and resolution of a pair of ordinary differential equations in arc length based on vector projection
Vargas-Rojas, Erik
Collombet, Francis
COMPUTER-AIDED DESIGN, 2025, 181
[29] Efficient approximation of free-surface Green function and OpenMP parallelization in frequency-domain wave–body interactions
Penghao Shan
Renchuan Zhu
Fuhua Wang
Jiameng Wu
Journal of Marine Science and Technology, 2019, 24 : 479 - 489
[30] POSITIVITY OF GREEN'S FUNCTIONS TO VOLTERRA INTEGRAL AND HIGHER ORDER INTEGRO-DIFFERENTIAL EQUATIONS
Gil', M. I.
ANALYSIS AND APPLICATIONS, 2009, 7 (04) : 405 - 418

← 1 2 3 4 →