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A NonOscillatory Eulerian Approach to Interfaces in Multimaterial Flows (The Ghost Fluid Method)
 

Summary: A Non­Oscillatory Eulerian Approach to Interfaces
in Multimaterial Flows (The Ghost Fluid Method)
Ronald P. Fedkiw \Lambda
Tariq Aslam y
Barry Merriman *
Stanley Osher *
October 19, 1998
Abstract
While Eulerian schemes work well on most gas flows, they have been
shown to admit nonphysical oscillations near some material interfaces,
especially in multimaterial problems associated with deformable solids.
In contrast, Lagrangian schemes work well at multimaterial interfaces,
but suffer from their own difficulties in problems with large deforma­
tions characteristic of most gas flows. We believe that the most robust
schemes will combine the best properties of Eulerian and Lagrangian
schemes. In fact, this paper is dedicated to developing an Eulerian
scheme which treats the interface in Lagrangian way, i.e. as a Heavi­
side function with no smearing along the lines of [10], [4] and [3].
In this paper, we use a level set function [24, 30, 25] to track the
motion of a multimaterial interface in an Eulerian framework. In addi­

  

Source: Aslam, Tariq - Los Alamos National Laboratory

 

Collections: Physics