Recipes for Computing the Steady Free-Surface Flow Due to a Source Distribution

1992 ◽  
Vol 36 (04) ◽  
pp. 346-359
Author(s):  
Dane Hendrix ◽  
Francis Noblesse
Keyword(s):  
Free Surface ◽  
Numerical Method ◽  
Steady Flow ◽  
Velocity Potential ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Source Distribution ◽  
Steady Velocity ◽  
Constant Distribution

This study provides complete and precise rules for evaluating the steady velocity potential of a piece-wise-constant distribution of Kelvin-Havelock sources on flat triangular hull panels and straight waterline segments with three digits of accuracy. The recipes yield a reliable and practical basis for a numerical method to compute steady flow about a ship using a distribution of Kelvin-Havelock sources.

Effect of Hull Discretization on Steady Free-Surface Flow Calculations

1995 ◽  
Vol 39 (01) ◽  
pp. 42-52
Author(s):  
Dane Hendrix ◽  
Francis Noblesse
Keyword(s):  
Free Surface ◽  
Aspect Ratio ◽  
Potential Flow ◽  
Velocity Potential ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Wave Profile ◽  
Source Strength ◽  
Hull Form ◽  
Piecewise Constant

Steady free-surface potential flow about a mathematically defined hull form is considered. The flow is defined using the slender-ship approximation. The hull form is approximated by means of flat triangular panels within which the source strength is piecewise constant. Convergence of the computed velocity potential, wave profile, and lift, moment and drag with respect to hull discretization (size and aspect ratio of panels) is evaluated.

Solution for Free-Surface Flow in Porous Media Using Rayleigh-Ritz Expansions

1978 ◽  
Vol 5 (1) ◽  
pp. 52-54
Author(s):  
Henning Rasmussen
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Free Surface ◽  
Potential Problem ◽  
Velocity Potential ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Flow In Porous Media ◽  
Order Partial Differential Equation ◽  
First Order

Free-surface flow can be modelled by the Laplace equation for the velocity potential and a nonlinear first-order partial differential equation for the free surface. The potential problem is reformulated as a variational problem and then solved approximately by a Rayleigh-Ritz expansion. The free-surface equation is solved using finite differences. The procedure is applied to a particular problem, and excellent results are obtained.

scholarly journals Laminar free-surface flow into a vertical cylinder

1975 ◽  
Vol 3 (1) ◽  
pp. 51-68 ◽  
Author(s):  
Thomas G. Smith ◽  
J.O. Wilkes
Keyword(s):  
Free Surface ◽  
Vertical Cylinder ◽  
Free Surface Flow ◽  
Surface Flow

Free-Surface Flow Simulations With Interactively Moving Bodies

2017 ◽  
Author(s):  
Arthur E. P. Veldman ◽  
Henk Seubers ◽  
Peter van der Plas ◽  
Joop Helder
Keyword(s):  
Free Surface ◽  
Free Fall ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Numerical Solution Method ◽  
Flow Simulations ◽  
Floating Object ◽  
Offshore Industry ◽  
Floating Objects ◽  
Moving Bodies

The simulation of free-surface flow around moored or floating objects faces a series of challenges, concerning the flow modelling and the numerical solution method. One of the challenges is the simulation of objects whose dynamics is determined by a two-way interaction with the incoming waves. The ‘traditional’ way of numerically coupling the flow dynamics with the dynamics of a floating object becomes unstable (or requires severe underrelaxation) when the added mass is larger than the mass of the object. To deal with this two-way interaction, a more simultaneous type of numerical coupling is being developed. The paper will focus on this issue. To demonstrate the quasi-simultaneous method, a number of simulation results for engineering applications from the offshore industry will be presented, such as the motion of a moored TLP platform in extreme waves, and a free-fall life boat dropping into wavy water.

Model coupling techniques for free-surface flow problems: Part II

2005 ◽  
Vol 63 (5-7) ◽  
pp. e1897-e1908 ◽  
Author(s):  
E. Miglio ◽  
S. Perotto ◽  
F. Saleri
Keyword(s):  
Free Surface ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Model Coupling ◽  
Flow Problems ◽  
Coupling Techniques
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