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Keywords: laplace equation
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Proceedings Papers
The Exploration of Multi-Scale Trefftz Method for Sloshing Problems Under Missing Boundary Conditions
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Paper presented at the The 35th International Ocean and Polar Engineering Conference, June 1–6, 2025
Paper Number: ISOPE-I-25-408
... and stable numerical methods has become an increasingly important focus of current research. equation scale trefftz method multi linear system reservoir simulation trefftz method modeling & simulation matrix stability journal tank mstm laplace equation boundary condition application...
Proceedings Papers
An Investigation of Fully Nonlinear Numerical Wave Tank (2D) by Harmonic Polynomial Cell Method Incorporating Volume of Fluid Method
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Paper presented at the The 34th International Ocean and Polar Engineering Conference, June 16–21, 2024
Paper Number: ISOPE-I-24-372
... the Laplace equation. The boundary value problem is formulated with non-penetrable wall, kinematics, and dynamic free surface conditions, and it can be described as follows, = 0 in = 0 on = on (1) = on where denotes the fluid domain, is the normal vector to the surface, the wave elevation...
Proceedings Papers
Numerical Investigation on Hydrodynamic Performance of 2D Section by Harmonic Polynomial Cell Method
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Paper presented at the The 33rd International Ocean and Polar Engineering Conference, June 19–23, 2023
Paper Number: ISOPE-I-23-358
... ABSTRACT The Harmonic Polynomial Cell (HPC) method is a recently proposed efficient and accurate method for solving the Laplace equation, which represents the velocity potential by a linear superposition of a set of complete harmonic polynomials within each cell to solve the potential flow...
Proceedings Papers
Numerical Investigation of Three-Dimensional Shallow-Water Sloshing
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Paper presented at the The 30th International Ocean and Polar Engineering Conference, October 11–16, 2020
Paper Number: ISOPE-I-20-3243
... parts: a particular solution satisfying the Laplace equation and the no-flow condition on the walls while the other part is solved by the Boussinesq-type model. Distinct features of the free surface can be observed under the selected external exciting frequencies. Comparisons are made between different...
Proceedings Papers
A Fully NonlinearPotential Model for Ship Hydrodynamics Directly Interfaced with CAD Data Structures
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Paper presented at the The Twenty-fourth International Ocean and Polar Engineering Conference, June 15–20, 2014
Paper Number: ISOPE-I-14-475
... and KVLCC2 hulls are presented and discussed. hull node heltai marine transportation laplace equation hull surface discretization mesh cad model computational grid simulation boundary condition desimone solver equation cad surface algorithm free surface artificial intelligence...
Proceedings Papers
Introduction to a Gravity Wave Equation Integrated With Laplace Equation And the Non-linear Boundary Conditions
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Paper presented at the The Nineteenth International Offshore and Polar Engineering Conference, July 21–26, 2009
Paper Number: ISOPE-I-09-049
... equation of wave motion is Laplace equation. In this paper, an ordinary differential equation which is equivalent to Laplace equation with the non-linear boundary conditions, is introduced for developing a 3-dimensional gravity wave theory. General solutions satisfying Laplace equation, bottom boundary...
Proceedings Papers
Radiation Condition And Farfield Waves
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Paper presented at the The Thirteenth International Offshore and Polar Engineering Conference, May 25–30, 2003
Paper Number: ISOPE-I-03-231
... 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...
Proceedings Papers
The Analysis of Wave-Induced Response of an Elastic Floating Plate In a Sea With a Breakwater
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Paper presented at the The Eighth International Offshore and Polar Engineering Conference, May 24–29, 1998
Paper Number: ISOPE-I-98-035
... and Yoshida,1975, Nagata et al.,1993). lengthwise centerline breakwater cosh subsea system rectangular plate nagata vertical displacement vertical amplitude open sea laplace equation equation experimental result starboard side expansion japan wave-induced response sinh amplitude...
