منابع مشابه
Implementation of a free boundary condition to Navier- Stokes equations
Numerical prediction of flow physics involves the specification of boundary conditions to close the problem. Whether all or part of the boundary needs consideration depends on the nature of the investigated partial differential equations. Taking as an example, closure boundary conditions for Navier-Stokes equations at an incompressible limit take different forms because a time-dependent problem...
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This paper deals with global well-posedness of the following free boundary problem for the Navier-Stokes equations. Let Ω be an exterior domain in the N dimensional Eucledian space RN occupied by an incompressible viscous fluid. Let Γ be the boundary of Ω that is a C2 compact hyper surface with the unit outer normal n. Let t Ω be the evolution of Ω at time t. Let t Γ be the boundary of t Ω with...
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A free boundary problem for the Navier-Stokes equations describes the flow of a viscous, incompressible fluid in a domain that is unknown or partially unknown. In this paper several results for flows in drops or in vessels are presented. The free boundary is governed by self-attraction or surface tension, and dynamic contact angles may occur. AMS-Classification: 76 D 05 , 35 R 35 § I. The Equat...
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Droplet impact onto a solid surface is modeled and numerically simulated using an ALE formulation of the Navier-Stokes free surface equations. The triple line dynamics aspect is modeled implicitely through the Shikhmurzaev theory. Those equations involve a generalized Navier slip boundary conditions with the variation of the surface tension near the triple line (thus a local Marangoni effect). ...
متن کاملOn a Free Piston Problem for Stokes and Navier-stokes Equations
Our goal is to model and analyze a stationary fluid flow through the junction of two pipes in the gravity field. Inside ’vertical’ pipe there is a heavy piston which can freely move along the pipe. We are interested in the equilibrium position of the piston in dependence on geometry of junction. Fluid is modeled with the Navier-Stokes equations and the piston is modeled as a rigid body. We form...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1996
ISSN: 0893-9659
DOI: 10.1016/0893-9659(96)00070-5