journal of computational physics 1 209 228 1992 computing interface motion in compressible gas dynamics w mulder and s osher department of mathematics university of california los angeles california 90024 ...
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...Journal of computational physics computing interface motion in compressible gas dynamics w mulder and s osher department mathematics university california los angeles james a sethian berkeley received january revised october tion dendrite solidification which there is an intricate hamilton jacobi level set formulation the equations feedback mechanism between local properties for propagating interfaces has been introduced recently by front on either side it this allows fronts to self intersect new algorithms following propa develop singularities change topology numerical gating developed based approach handle topological merging breaking moving was intro naturally work any number space dimensions do not require duced these that be written as function instead embedded particular fixed domain partial differential dimen equation techniques borrowed from hyperbolic conserva sions laws are then used accurately capture complicated surface satisfies global entropy condition given paper we anal...