The derivation and the computation of kinematic boundary condition

Authors:
S. H. Lee;B. K. Soni
Affiliations:
Hydrodynamics Research Department, Hyundai Heavy Industries, Co., Ltd., Ulsan, Korea and Mechanical Engineering, University of Alabama at Birmingham, USA;Hydrodynamics Research Department, Hyundai Heavy Industries, Co., Ltd., Ulsan, Korea and Mechanical Engineering, University of Alabama at Birmingham, USA
Venue:
Mathematics and Computers in Simulation
Year:
2006

Citing 5
Cited 0

GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems

SIAM Journal on Scientific and Statistical Computing
An interactive approach for calculating ship boundary layers and wakes for nonzero Froude number

Journal of Computational Physics
A large-domain approach for calculating ship boundary layers and wakes and wave fields for nonzero Froude number

Journal of Computational Physics
Computation of steady and unsteady flows with a free surface around the Wigley hull

Applied Mathematics and Computation - Special issue on differential equations and computational simulations II
On simulation of turbulent nonlinear free-surface flows

Journal of Computational Physics

Quantified Score

Hi-index	0.00

Visualization

Abstract

The generation of waves by an advancing ship is studied using a moving grid approach. The kinematic boundary condition in the physical curvilinear coordinate system is derived by allowing the particle on the upper boundary to move along the generated curved coordinate lines of the flow field. Thus, the grid is moved along the hull surface. An approach based on the idea of the modified partial differential equation was proposed to discretize a hyperbolic partial differential equation. The computational results obtained using a standard finite analytic scheme were compared with the results obtained using a higher order finite analytic scheme. Convergent steady-state wave profiles for the Wigley hull were compared with experimental measurements.