... jetty breakwater theoretical solution boundary condition peixin zhou diffraction coefficient radiation condition logic & formal reasoning diffraction coefficient elliptic coordinate inner domain Proceedings of the Thirty-first (2021) International Ocean and Polar Engineering Conference...

..., and Stokes perturbation procedure is then used to establish corresponding boundary value problem at first-order and second-order on the time-independent surfaces. Desingularized boundary integral equation method (DBIEM) is used to calculate wave field at each time step. A hybrid radiation condition, which...

... are usually unknown and either extrapolated or assumed by values of variables in the nearest grids within computational domains. Among three types of OBCs, radiation conditions such as clamped conditions, gradient conditions and gravity wave radiation conditions are popular conditions in the storm surge...

... equation radiation condition hydroelastic response fluid motion variational principle application sub experimental result hydroelastic behavior boundary condition velocity potential exp kinematic condition starb cal arbitrary plan geometry nagata wave radiation condition...

... are solved by means of the Green's theory and semi-analytical solutions are presented for a uniform circular cylinder with a draft equal to the water depth. The radiation condition is proposed for each order of potentials to ensure the existence of the unique solution. The restriction on the validation...

... waves in terms of one-dimensional Fourier superpositions of elementary waves that satisfy the Laplace equation, the boundary conditions at the sea floor and the free surface, and the radiation condition, is given. This representation of farfield waves extend two representations given in the literature...

... by a double (or single) integration i time. This way, only two time levels are involved. The implemented boundary conditions include prescribed free-surface displacement, wave generation by normal-velocity specification and radiation conditions (which allow scattered waves to propagate out of a finite extent...

... ABSTRACT: In the present study, non-linear diffraction waves around a body are considered due to non-linear incident waves. The non-linear waves approach the body from infinity. In order to realize it numerically, a new approach is tried with a reasonable radiation condition. All...

... on the wave forces acting but also on the wave field around it. component wave sea condition nonlinear wave diffraction wave component second-order approximate solution radiation condition experimental result wave diffraction wave force cylinder directional sea condition diffracted wave...

... the numerical calculations for nonlinear wave problems feasible. For linear waves it is well-known that the scattered wave energy is always flowing out away from the body and not flowing in toward the body. This energy flux direction condition is equivalent to the Sommerfeld radiation condition. We have...

... condition is also crucial. Under certain circumstances an inappropriate radiation condition may affect the numerical solution drastically. Analytical solutions for the piston and flap type wavemaker were given by Havelock (1929) based on the linear wave theory. For verifying the accuracy of the linear...

... g on r; (2) (3) (4) together with the Sommerfeld radiation condition to be discussed shortly. Here g is an acceleration due to gravity, n denotes an unit vector directed outwards from the fluid region and (0 is the frequency. With reference to Fig.1, r, is the submerged body surface of the structure...

... is presented. The equation governing flow below the surface is Laplace equation. The boundary condition on the body is of Neumann type, while on the free surface the nonlinear dynamic free surface condition has to be satisfied. In addition, farfield and radiation condition, which determine the behavior of wave...

... which already satisfies the bottom boundary condition, the free surface boundary condition and the radiation condition. The motion of a structure is idealized as a lumped-mass model with multiple degrees of freedom, and the surrounding fluid is assumed to be linearly compressible and to undergo small...

... solution domain considering the periodical behavior of φ emphasized with the radiation conditions. MATHEMATICAL FORMULATION The complex potential φ of the wave field due the wave-induced motions of a prismatical moored object can be decomposed into incident, diffracted and radiated components...

... far-field condition and are considered to be algebraically complicated. This method involves a number of numerical complications and demands considerable computing resources. radiation condition oscillatory force amplitude force component equation frequency circular cylinder radiated...

... surface boundary condition time step amplitude radiation condition wave force runup equation experimental result boundary condition integration procedure Proceedings of the First (1991) International Offshore and Polar Engineering Conference Edinburgh, United Kingdom, 11-16 August 1991...