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- W173417340 abstract "We present an accurate and fast wave tracking method that uses parametric representations of tracked fronts, combined with modifications of levelset methods that use narrow bands. Our strategy generates accurate computation of the front curvature and other geometric properties of the front. We introduce data structures that can store discrete representations of the location of the moving fronts and boundaries, as well as the corresponding level set fields, that are designed to reduce computational overhead and memory storage. We present an algorithm we call Stack Sweeping to efficiently sort and store data that is used to represent orientable fronts. Our design and implementation feature two reciprocal procedures. The first is called forward ”front parameterization” and constructs a parameterization of a front given a level-set field. The second is called a backwards ”field construction”, and constructs an approximation of the signed normal distance to the front, given a parameterized representation of the front. These reciprocal procedures are used to achieve and maintain high spatial accuracy. Close to the front, precise computation of the normal distance is carried out by requiring that displacement vector from grid points to the front be along a normal direction. For front curves in a two-dimensional level-set implementation, a cubic interpolation scheme is used and G surface parameterization based on triangular patches is constructed for the three dimensional level-set implementation to compute the distances from grid points near the front. For remote grid points in the band, a less accurate method is used for both implementations. Boundary conditions at wall and internal boundaries are implemented. We present examples from the resulting code to the applications of detonation shock dynamics and dendritic solidification." @default.
- W173417340 created "2016-06-24" @default.
- W173417340 creator A5013882526 @default.
- W173417340 creator A5025309539 @default.
- W173417340 date "2004-02-01" @default.
- W173417340 modified "2023-09-27" @default.
- W173417340 title "A hybrid level-set method in two and three dimensions for modeling detonation and combustion problems in complex geometries" @default.
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- W173417340 hasPublicationYear "2004" @default.
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