Rodolfo Ruben Rosales

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The level set approach represents surfaces implicitly, and advects them by evolving a level set function, which is numerically defined on an Eulerian grid. Here we present an approach that augments the level set function values by gradient information, and evolves both quantities in a fully coupled fashion. This maintains the coherence between function(More)
The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Abstract In this paper we present a method to treat interface jump conditions for constant coefficients Poisson problems that allows the use of standard " black box " solvers, without compromising accuracy. The basic idea of the new(More)
Fundamental diagrams of vehicular traffic flow are generally multi-valued in the congested flow regime. We show that such set-valued fundamental diagrams can be constructed systematically from simple second order macro-scopic traffic models, such as the classical Payne-Whitham model or the inho-mogeneous Aw-Rascle-Zhang model. These second order models(More)
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