Abstract
AbstractWe present a numerical method for computing the signed distance to a piecewise‐smooth surface defined as the zero set of a function. It is based on a marching method by Kim and a hybrid discretization of first‐ and second‐order discretizations of the eikonal equation. If the solution is smooth at a point and at all of the points in the domain of dependence of that point, the solution is second‐order accurate; otherwise, the method is first‐order accurate, and computes the computes the correct entropy solution in the presence of kinks in the initial surface. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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