Eulerian Approximate Ray Tracing and Applications to Grid Generation

Patrizia Bagnerini ()
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Patrizia Bagnerini: Université de Nice, Laboratoire de Mathématiques CNRS n. 6621

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 335-346 from Springer

Abstract: Abstract We introduce a scheme to compute the viscosity solution of the Riemannian Eikonal equation, on a regular grid or triangular mesh and which uses the order given by the Sweeping algorithm, to update the points. We also compute the bicharacteristic curves of the viscosity solution in a domain Ω in Eulerian way: instead of solving a system of ODE for every source point belongs to ∂Ω, we label each ray by a parameter θ and thus we compute a function θ = θ(s, t), θ: Ω ⊂ℝ2 → ℝ2, whose level sets are the rays. We then present some numerical results.

Keywords: Grid Point; Viscosity Solution; Regular Grid; Triangular Mesh; Grid Generation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_30

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DOI: 10.1007/978-3-642-55711-8_30

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