Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations

by: Stanley Osher, James A Sethian

Journal of Computational Physics, Vol. 79 (1988), pp. 12-49.

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Abstract

We devise new numerical algorithms, called PSC algorithms, for following fronts propagating with curvature-dependent speed. The speed may be an arbitrary function of curvature, and the front can also be passively advected by an underlying flow. These algorithms approximate the equations of motion, which resemble Hamilton-Jacobi equations with parabolic right-hand-sides, by using tech-niques from the hyperbolic conservation laws. Non-oscillatory schemes of various orders of accu-racy are used to ...

@article{citeulike:276424, abstract = {We devise new numerical algorithms, called PSC algorithms, for following fronts propagating with curvature-dependent speed. The speed may be an arbitrary function of curvature, and the front can also be passively advected by an underlying flow. These algorithms approximate the equations of motion, which resemble Hamilton-Jacobi equations with parabolic right-hand-sides, by using tech-niques from the hyperbolic conservation laws. Non-oscillatory schemes of various orders of accu-racy are used to ...}, author = {Osher, Stanley and Sethian, James A. }, citeulike-article-id = {276424}, journal = {Journal of Computational Physics}, keywords = {level-set}, pages = {12--49}, posted-at = {2007-11-09 14:20:01}, priority = {2}, title = {Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-{J}acobi Formulations}, url = {http://citeseer.ist.psu.edu/osher88fronts.html}, volume = {79}, year = {1988} }

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TY - JOUR ID - citeulike:276424 L3 - citeulike-article-id:276424 TI - Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-{J}acobi Formulations JF - Journal of Computational Physics VL - 79 SP - 12 EP - 49 N2 - We devise new numerical algorithms, called PSC algorithms, for following fronts propagating with curvature-dependent speed. The speed may be an arbitrary function of curvature, and the front can also be passively advected by an underlying flow. These algorithms approximate the equations of motion, which resemble Hamilton-Jacobi equations with parabolic right-hand-sides, by using tech-niques from the hyperbolic conservation laws. Non-oscillatory schemes of various orders of accu-racy are used to ... KW - level-set AU - Osher, Stanley AU - Sethian, James PY - 1988/// UR - http://citeseer.ist.psu.edu/osher88fronts.html ER -

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