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Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries
, 1981
"... Several methods have been previously used to approximate free boundaries in finite difference numerical simulations. A simple, but powerful, method is described that is based on the concept of a fractional volume of fluid (VOF). This method is shown to be more flexible and efficient than other metho ..."
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Cited by 603 (3 self)
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Several methods have been previously used to approximate free boundaries in finite difference numerical simulations. A simple, but powerful, method is described that is based on the concept of a fractional volume of fluid (VOF). This method is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations. To illustrate the method, a description is given for an incompressible hydrodynamics code, SOLAVOF, that uses the VOF technique to track free fluid surfaces.
Wellposedness in sobolev spaces of the full water wave problem in 3d
 J. Amer. Math. Soc
, 1997
"... We consider the motion of the interface separating an inviscid, incompressible, irrotational fluid from a region of zero density in threedimensional space; we assume that the fluid region is below the vacuum, the fluid is under the influence of gravity and the surface tension is zero. Assume that t ..."
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Cited by 148 (3 self)
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We consider the motion of the interface separating an inviscid, incompressible, irrotational fluid from a region of zero density in threedimensional space; we assume that the fluid region is below the vacuum, the fluid is under the influence of gravity and the surface tension is zero. Assume that the density of mass of the fluid is one,
Shock waves, dead zones and particlefree regions in rapid granular freesurface flows
, 2003
"... Shock waves, dead zones and particlefree regions form when a thin surface avalanche of granular material flows around an obstacle or over a change in the bed topography. Understanding and modelling these flows is of considerable practical interest for industrial processes, as well as for the design ..."
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Cited by 15 (0 self)
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Shock waves, dead zones and particlefree regions form when a thin surface avalanche of granular material flows around an obstacle or over a change in the bed topography. Understanding and modelling these flows is of considerable practical interest for industrial processes, as well as for the design of defences to protect buildings, structures and people from snow avalanches, debris flows and rockfalls. These flow phenomena also yield useful constitutive information that can be used to improve existing avalanche models. In this paper a simple hydraulic theory, first suggested in the Russian literature, is generalized to model quasitwodimensional flows around obstacles. Exact and numerical solutions are then compared with laboratory experiments. These indicate that the theory is adequate to quantitatively describe the formation of normal shocks, oblique shocks, dead zones and granular vacua. Such features are generated by the flow around a pyramidal obstacle, which is typical of some of the defensive structures in use today. 1.
Implicit schemes with large time step for nonlinear equations : application to river flow hydraulics
 International Journal for Numerical Methods in Fluids
, 2004
"... In this work, first order upwind implicit schemes are considered. The traditional tridiagonal scheme is rewritten as a sum of two bidiagonal schemes in order to produce a simpler method better suited for unsteady transcritical flows. On the other hand, the origin of the instabilities associated to t ..."
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Cited by 8 (2 self)
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In this work, first order upwind implicit schemes are considered. The traditional tridiagonal scheme is rewritten as a sum of two bidiagonal schemes in order to produce a simpler method better suited for unsteady transcritical flows. On the other hand, the origin of the instabilities associated to the use of upwind implicit methods for shock propagations is identified and a new stability condition for nonlinear problems is proposed. This modification produces a robust, simple and accurate upwind semiexplicit scheme suitable for discontinuous flows with high CFL numbers. The discretization at the boundaries is based on the condition of global mass conservation thus enabling a fully conservative solution for all kind of boundary conditions. The performance of the proposed technique will be shown in the solution of the inviscid Burgers ’ equation, in an ideal dambreak test case, in some steady open channel flow test cases with analytical solution and in a realistic flood routing problem, where stable and accurate solutions will be presented using CFL values up to 100.
Capillary–gravity waves in a surface tension gradient I: discontinuous change, Phys. Fluids A 5
, 1993
"... When waves enter a region covered with a surfactant, the spatial variation of the surface tension causes reflection and refraction of the waves. The simplified inviscidflow problem of two adjacent halfspaces with different surface tension coefficients is solved analytically for plane waves at obl ..."
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Cited by 3 (0 self)
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When waves enter a region covered with a surfactant, the spatial variation of the surface tension causes reflection and refraction of the waves. The simplified inviscidflow problem of two adjacent halfspaces with different surface tension coefficients is solved analytically for plane waves at oblique incidence. The linearized wave potential is described by a complex contour integral representation for which uniqueness is obtained from the requirement of energy conservation. The reflection is found to be small for some typical cases.
Finite Element Analysis of the Forced Oscillations of Ship Hull Forms
"... IB. SUPPLEMENTARY NOTES 19. KEY WORDS (Continue on reverae aide If neceaaasy end Identify by block number) Added mass Finite element Nonlinear 20. ABSTRACT (Continue on reverae aide It neceaaary and Identify by block number) A study of the first and secondorder, dynamic, ideal fluid effects on the ..."
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IB. SUPPLEMENTARY NOTES 19. KEY WORDS (Continue on reverae aide If neceaaasy end Identify by block number) Added mass Finite element Nonlinear 20. ABSTRACT (Continue on reverae aide It neceaaary and Identify by block number) A study of the first and secondorder, dynamic, ideal fluid effects on the forced, harmonic oscillations of a rigid cylinder in a free surface is presented. The solutions are obtained with a FORTRAN IV computer program based on the finite element method using isoparametric elements. Firstorder added mass and damping in heave for a semicircular and bulb hull form including finite depth effects are presented. Secondorder solutions for the semicircular hull form in heave DD,^N
Existence and features of similarity solutions for nonBoussinesq gravity currents, Physica D
, 2007
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Interaction of hydroelastic waves with a vertical wall
, 2010
"... This study aims to gain knowledge on how hydroelastic waves interact with offshore structures, for example offshore wind turbines or oil rigs. The linear twodimensional problem of hydroelastic waves reflected by a vertical wall is analysed. Water is of finite depth and is covered by ice. The flui ..."
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This study aims to gain knowledge on how hydroelastic waves interact with offshore structures, for example offshore wind turbines or oil rigs. The linear twodimensional problem of hydroelastic waves reflected by a vertical wall is analysed. Water is of finite depth and is covered by ice. The fluid is assumed incompressible and inviscid. The ice sheet is assumed thin compared with both the water depth and length of the incident
entitled The Forces And Moment On A Prolate Spheroid Accelerating
"... Rights Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the aut ..."
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Rights Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. Downloaded 12Sep2016 01:52:00
Numerical transport in diffusive regimes Item type text; DissertationReproduction (electronic)
, 1991
"... Rights Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the aut ..."
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Rights Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.