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Level set methods for detonation shock dynamics using arbitrary-order finite elements

Francesca Grogan


Level set methods are a popular approach to modeling evolving interfaces. We present a level set advection solver in two and three dimensions using the discontinuous Galerkin method with arbitrary-order finite elements. During evolution, the level set function is reinitialized to a signed distance function to maintain accuracy. Our approach leads to stable front propagation and convergence on high-order, curved, unstructured meshes. The solver\222s ability to implicitly track moving fronts lends itself to a number of applications; in particular, we highlight applications to high-explosive burn and detonation shock dynamics (DSD). We provide results for two- and three- dimensional benchmark problems as well as those with applications to DSD.

Tuesday, November 15, 2016
11:00AM AP&M 2402