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Level set methods and dynamic implicit surfaces
TLDR
A student or researcher working in mathematics, computer graphics, science, or engineering interested in any dynamic moving front, which might change its topology or develop singularities, will find this book interesting and useful. Expand
A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method)
While Eulerian schemes work well for most gas flows, they have been shown to admit nonphysical oscillations near some material interfaces. In contrast, Lagrangian schemes work well at multimaterialExpand
Visual simulation of smoke
TLDR
The method proposed here exploits physics unique to smoke in order to design a numerical method that is both fast and efficient on the relatively coarse grids traditionally used in computer graphics applications. Expand
A hybrid particle level set method for improved interface capturing
In this paper, we propose a new numerical method for improving the mass conservation properties of the level set method when the interface is passively advected in a flow field. Our method usesExpand
Robust treatment of collisions, contact and friction for cloth animation
We present an algorithm to efficiently and robustly process collisions, contact and friction in cloth simulation. It works with any technique for simulating the internal dynamics of the cloth, andExpand
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
TLDR
New numerical techniques from the Ghost Fluid Method are extended to treat multiphase incompressible flow including the effects of viscosity, surface tension and gravity. Expand
Level set methods: an overview and some recent results
The level set method was devised by S. Osher and J. A. Sethian (1988, J. Comput. Phys.79, 12–49) as a simple and versatile method for computing and analyzing the motion of an interface Γ in two orExpand
Practical animation of liquids
TLDR
An appropriately modified semi-Lagrangian method with a new approach to calculating fluid flow around objects is combined to efficiently solve the equations of motion for a liquid while retaining enough detail to obtain realistic looking behavior. Expand
Animation and rendering of complex water surfaces
TLDR
A new "thickened" front tracking technique to accurately represent the water surface and a new velocity extrapolation method to move the surface in a smooth, water-like manner are introduced. Expand
A Boundary Condition Capturing Method for Poisson's Equation on Irregular Domains
Interfaces have a variety of boundary conditions (or jump conditions) that need to be enforced. The Ghost Fluid Method (GFM) was developed to capture the boundary conditions at a contactExpand
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