Results 1 - 10 of 394

A Multiscale Approach to Mesh-based Surface Tension Flows

by Nils Thürey, Chris Wojtan, Markus Gross, Greg Turk
"... Figure 1: Our method allows us to efficiently simulate complex surface tension phenomena such as this crown splash. The small scales are handled with our surface approach, while the larger scales are computed with the Eulerian simulation. For the shown simulation, our method requires only 22.3 secon ..."
Abstract - Cited by 19 (6 self) - Add to MetaCart
.3 seconds per frame on average. We present an approach to simulate flows driven by surface tension based on triangle meshes. Our method consists of two simulation layers: the first layer is an Eulerian method for simulating surface tension forces that is free from typical strict time step constraints

A Variational Level Set Approach to Multiphase Motion

by Hong-kai Zhao, T. Chan, B. Merriman, S. Osher - JOURNAL OF COMPUTATIONAL PHYSICS 127, 179–195 (1996) ARTICLE NO. 0167 , 1996
"... A coupled level set method for the motion of multiple junctions (of, e.g., solid, liquid, and grain boundaries), which follows the gradient flow for an energy functional consisting of surface tension (proportional to length) and bulk energies (proportional to area), is sin �1 developed. The approach ..."
Abstract - Cited by 315 (38 self) - Add to MetaCart
A coupled level set method for the motion of multiple junctions (of, e.g., solid, liquid, and grain boundaries), which follows the gradient flow for an energy functional consisting of surface tension (proportional to length) and bulk energies (proportional to area), is sin �1 developed

Removing the stiffness from interfacial flows with surface tension

by Thomas Y. Hou, John S. Lowengrub, Michael J. Shelley - J. Comput. Phys , 1994
"... A new formulation and new methods are presented for computing the motion of fluid interfaces with surface tension in two-dimensional, irrotational, and incompressible fluids. Through the Laplace-Young condition at the interface, surface tension introduces high-order terms, both nonlinear and nonloca ..."
Abstract - Cited by 126 (10 self) - Add to MetaCart
, highest order term. That is, using this formulation, we give implicit time integration methods that have no high order time step stability constraint associated with surface tension and are explicit in Fourier space. The approach is based on a boundary integral formulation and applies more generally, even

An Adaptive Level Set Approach For Incompressible Two-Phase Flows

by Mark Sussman, Ann S. Almgren, John B. Bell, Phillip Colella, Louis H. Howell, Michael L. Welcome - J. Comput. Phys , 1998
"... In Sussman, Smereka and Osher (1994), a numerical method using the level set approach was formulated for solving incompressible two-phase flow with surface tension. In the level set approach, the interface is represented as the zero level set of a smooth function; this has the effect of replacing th ..."
Abstract - Cited by 135 (12 self) - Add to MetaCart
In Sussman, Smereka and Osher (1994), a numerical method using the level set approach was formulated for solving incompressible two-phase flow with surface tension. In the level set approach, the interface is represented as the zero level set of a smooth function; this has the effect of replacing

A Boundary Condition Capturing Method for Multiphase Incompressible Flow

by Myungjoo Kang, Ronald P. Fedkiw, Xu-dong Liu - J. Sci. Comput , 2000
"... In [6], the Ghost Fluid Method (GFM) was developed to capture the boundary conditions at a contact discontinuity in the inviscid compressible Euler equations. In [11], related techniques were used to develop a boundary condition capturing approach for the variable coefficient Poisson equation on dom ..."
Abstract - Cited by 138 (25 self) - Add to MetaCart
on domains with an embedded interface. In this paper, these new numerical techniques are extended to treat multiphase incompressible flow including the effects of viscosity, surface tension and gravity. While the most notable finite difference techniques for multiphase incompressible flow involve numerical

Efficient Feature Tracking of Time-varying Surfaces Using Multi-scale Motion Flow Propagation

by Bin Liaoa, Chunxia Xiaoa, Zhiqiang Panga , 2013
"... This paper presents a framework for efficient feature tracking of time-varying surfaces. The framework can not only capture the dynamic geometry features on the time-varying surfaces, but also can compute the accurate boundaries of the geometry features. The basic idea of the proposed approach is us ..."
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does not depend on the topological connection of the underlying surfaces. Thus,it can process both mesh-based and point-based time-varying surfaces without vertex-to-vertex correspondence across the frames. Feature tracking results on different kinds of time-varying surfaces illustrate the efficiency

A STABLE AND EFFICIENT METHOD FOR TREATING SURFACE TENSION IN INCOMPRESSIBLE TWO-PHASE FLOW ∗

by M. Sussman, M. Ohta
"... This paper is dedicated to Diane Ohlhaber. Abstract. A new approach based on volume preserving motion by mean curvature for treating surface tension in two-phase flows is introduced. Many numerical tests and a theoretical justification are included which provide evidence regarding the efficacy of th ..."
Abstract - Cited by 19 (2 self) - Add to MetaCart
This paper is dedicated to Diane Ohlhaber. Abstract. A new approach based on volume preserving motion by mean curvature for treating surface tension in two-phase flows is introduced. Many numerical tests and a theoretical justification are included which provide evidence regarding the efficacy

MULTISCALE FINITE ELEMENT METHODS FOR FLOWS ON ROUGH SURFACES

by Yalchin Efendiev, Juan Galvis, M. Sebastian Pauletti
"... Abstract. In this paper, we present the Multiscale Finite Element Method (MsFEM) for problems on rough heterogeneous surfaces. We consider the diffusion equation on oscillatory surfaces. Our objective is to represent small-scale features of the solution via multiscale basis functions described on a ..."
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) the construction of multiscale basis functions and (2) a global coupling of these basis functions. For the construction of multiscale basis functions, our approach uses the transformation of the reference surface to a deformed surface. On the deformed surface, multiscale basis functions are defined where reduced

HapticFlow: PDE-Based Mesh Editing with Haptics

by Ye Duan, Jing Hua, Hong Qin - In Proceedings of IEEE Computer Animation and Social Agents , 2004
"... This paper presents HapticFlow, a haptics-based direct mesh editing system founded upon the concept of PDE-based geometric surface flow. The proposed flow-based approach for direct geometric manipulation offers a unified design paradigm that can seamlessly integrate implicit, distance-field based ..."
Abstract - Cited by 6 (3 self) - Add to MetaCart
This paper presents HapticFlow, a haptics-based direct mesh editing system founded upon the concept of PDE-based geometric surface flow. The proposed flow-based approach for direct geometric manipulation offers a unified design paradigm that can seamlessly integrate implicit, distance-field based

SURFACE TENSION-DRIVEN FLOW IN A SLENDER WEDGE ∗

by J. Billingham
"... Abstract. We consider an inviscid fluid, initially at rest inside a wedge, bounded by one free surface and one solid surface. When t = 0, we allow the contact angle to change discontinuously, which leads the free surface to recoil under the action of surface tension. As noted by Keller and Miksis [S ..."
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Abstract. We consider an inviscid fluid, initially at rest inside a wedge, bounded by one free surface and one solid surface. When t = 0, we allow the contact angle to change discontinuously, which leads the free surface to recoil under the action of surface tension. As noted by Keller and Miksis
Results 1 - 10 of 394