Showing papers by "Stanley Osher published in 1995"
01 Jun 1995
TL;DR: In this article, a level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.
Abstract: A level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number. A distance function formulation of the level set method enables one to compute flows with large density ratios (1000/1) and flows that are surface tension driven; with no emotional involvement. Recent work has improved the accuracy of the distance function formulation and the accuracy of the advection scheme. We compute flows involving air bubbles and water drops, to name a few. We validate our code against experiments and theory.
3,556 citations
TL;DR: In this article, the authors derived numerical methods for the high frequency asymptotic expansion of the scalar wave equation, where the nonlinear partial differential equations defining the terms in the expansio...
101 citations
01 Jan 1995
TL;DR: Numerical methods that were devised for the purpose of computing small scale behavior without either fully resolving the whole solution or explicitly tracking certain singular parts of it, as well as more traditional fields of physics and engineering are described.
Abstract: In this paper we shall describe numerical methods that were devised for the purpose of computing small scale behavior without either fully resolving the whole solution or explicitly tracking certain singular parts of it. Techniques developed for this purpose include shock capturing, front capturing, and multiscale analysis. Areas in which these methods have recently proven useful include image processing, computer vision, and differential geometry, as well as more traditional fields of physics and engineering.
3 citations