Development of a Spectral-Element Approach for the Eikonal Equation
نویسندگان
چکیده
A novel spectral-element approach for the eikonal equation is presented based on the work of Tucker et al. This approach is readily implemented in standard finiteelement flow solvers developed for the Navier-Stokes equations. Results are presented for distance function (level set) for three planar configurations: circular cylinder, NACA 0012 airfoil, and T106 airfoil. Results demonstrate that the approach is capable of arbitrary order of accuracy. For configurations with strong convex curvature, additional curvature-based dissipation is added to the eikonal equation to generate a weak solution consistent with the entropy condition.
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