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A Non-Oscillatory Eulerian Approach to Interfaces in Multimaterial Flows The Ghost Fluid Method
 

Summary: A Non-Oscillatory Eulerian Approach to Interfaces
in Multimaterial Flows The Ghost Fluid Method
Ronald P. Fedkiw
Tariq Aslam y
Barry Merriman *
Stanley Osher *
October 19, 1998
Abstract
While Eulerian schemes work well on most gas ows, they have been
shown to admit nonphysical oscillations near some material interfaces,
especially in multimaterialproblems associated with deformablesolids.
In contrast, Lagrangian schemes work well at multimaterialinterfaces,
but su er from their own di culties in problems with large deforma-
tions characteristic of most gas ows. 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 multimaterialinterface in an Eulerian framework. In addi-

  

Source: Aslam, Tariq - Los Alamos National Laboratory

 

Collections: Physics