From level set to volume of fluid and back again at second‐order accuracy |
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| Authors: | Miles Detrixhe Tariq D Aslam |
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| Affiliation: | 1. Department of Mechanical Engineering, University of California – Santa Barbara, Santa Barbara, CA, USA;2. Shock and Detonation Physics Group, Los Alamos National Laboratory, Los Alamos, NM, USA |
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| Abstract: | We present methods for computing either the level set function or volume fraction field from the other at second‐order accuracy. Both algorithms are optimal in that O(N) computations are needed for N total grid points and both algorithms are easily parallelized. This work includes a novel interface reconstruction algorithm in three dimensions that requires a smaller local block of volume fractions than existing algorithms. A compact local solver leads to better algorithm portability and efficiency: for example, fewer restrictions must be imposed on an adaptive mesh, and fewer grid cells must be communicated between processors in a parallel implementation. We also present a fast sweeping method for computing a unique approximation of the signed distance function to a piecewise linear interface. All of the numerical examples confirm second‐order accuracy on both uniform and tree‐based adaptive grids. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | level set volume of fluid distance function interface reconstruction |
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