منابع مشابه
A level set formulation for Willmore flow
A level set formulation of Willmore flow is derived using the gradient flow perspective. Starting from single embedded surfaces and the corresponding gradient flow, the metric is generalized to sets of level set surfaces using the identification of normal velocities and variations of the level set function in time via the level set equation. The approach in particular allows to identify the nat...
متن کاملA Variational Formulation for a Level Set Representation of Multiphase Flow and Area Preserving Curvature Flow∗
Abstract. Variational descriptions for various multiphase level set formulations involving curvature flow are discussed. A representation of n phases using n−1 level set functions is introduced having the advantage that constraints preventing overlaps or vacuum are not needed. The representation is then used in conjunction with our variational formulation to deduce a novel level set based algor...
متن کاملComparison study for Level set and Direct Lagrangian methods for computing Willmore flow of closed planar curves
Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, 120 00 Praha 2, Czech Republic e-mail: [email protected], e-mail: [email protected] Department of Mathematics, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovak Republic e-mail: [email protected] Dept. of Applie...
متن کاملFlux-Based Level Set Method for Two-Phase Flow Towards pure finite volume discretization of incompress- ible two-phase flow using a level set formulation
We describe a pure finite volume method for the problem of incompressible two-phase flow using a level set formulation to track the interface between phases. Similar discrete local balance formulations are used for the approximation of the conservation of all related values — the momentum, the mass and the level set function. Moreover, a possible jump of the pressure at the interface is modeled...
متن کاملA Level Set Formulation for the 3d Incompressible Euler Equations
which implies that the topology of the vorticity vector field must be very simple. Even local existence of the Clebsch representation is only guaranteed at points where the vorticity does not vanish. It has been shown (Graham-Henyey [17]) that in general (1.3) can not hold around a point with zero vorticity. For more discussion on the properties of classical Clebsch variables and its various ge...
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ژورنال
عنوان ژورنال: Interfaces and Free Boundaries
سال: 2004
ISSN: 1463-9963
DOI: 10.4171/ifb/105