Diffeomorphic Surface Flows: A Novel Method of Surface Evolution

Diffeomorphic Surface Flows: A Novel Method of Surface Evolution

We describe a new class of surface flows, diffeomorphic surface flows, induced by restricting diffeomorphic flows of the ambient Euclidean space to a surface. Different from classical surface PDE flows such as mean curvature flow, diffeomorphic surface flows are solutions of integro-differential equations in a group of diffeomorphisms. They have the potential advantage of being both topology-in...

Surface Evolution under Curvature Flows

In many areas of computer vision, such as multiscale analysis and shape description, an image or surface is smoothed by a nonlinear parabolic partial differential equation to eliminate noise and to reveal the large global features. An ideal flow, or smoothing process, should not create new features. In this paper we describe in detail the effect of a number of flows on surfaces on the parabolic...

multigrid method to solve free surface flows

in recent years, many different methods have been developed to simulate free surface flows coupled with moving bodies. in this paper, for simulating ship maneuver, vof method (cicsam) and also for coupling velocity field and pressure a fractional step method are used. to increase simulation accuracy, the mesh size should be significantly fine. unfortunately, fine grid causes increase in simulat...

Surface Evolution Equations — a level set method —

A Novel algorithm of Advection procedure in Volume of Fluid Method to model free surface flows

In this study the developed procedure of Advection in Volume of Fluid (VOF) method for free surface modeling is presented. Two-step projection method is implemented for solution of RANSE equations discretized by finite difference method on the staggered and Cartesian grids. Applying Youngs’ algorithm in staggered grids, assuming that fluid particles in the cell have the same velocity of the cel...