Abstract
Numerical simulations of a spherical shock refraction have been successfully conducted by a front tracking method. We demonstrate the efficiency of the front tracking algorithm by comparing the L 1-error of spherical simulations by tracked and untracked methods. We find that the tracked algorithm is about 64 (256) times faster than the corresponding method without tracking the interface for a 2d (3d) simulation.
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Dutta, S., Glimm, J., Grove, J.W., Sharp, D.H., Zhang, Y. (2003). A Fast Algorithm for Moving Interface Problems. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44843-8_85
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DOI: https://doi.org/10.1007/3-540-44843-8_85
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