On the initial values of kinematic and dynamic free-surface boundary conditions for water wave problems  

作　　者：Dong-qiang Lu 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics,School of Mechanics and Engineering Science,Shanghai University,Shanghai 200072,China

出　　处：《Journal of Hydrodynamics》2020年第5期1024-1027,共4页水动力学研究与进展B辑（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11872239).

摘　　要：The kinematic and dynamic boundary conditions on the free surface of a fluid should be posed for water wave problems.In the framework of potential theory for an inviscid and incompressible fluid with an irrotational motion,the combined boundary condition,which involves the velocity potential only,is often used by eliminating the elevation terms mathematically.Such a combination is correct for the solutions in the frequency domain,and is not feasible for an initial-boundary-value problem in the time domain since it leads to a totally different physical formulation.The correct initial conditions for pure gravity waves and hydroelastic waves are presented.

关 键 词：Initial values boundary conditions water wave HYDROELASTICITY 

分 类 号：O35[理学—流体力学]