Abstract
This paper is dedicated to the design of an artifact-free and geometrically accurate low-diffusive interface capturing method for pure advection problems with extension to the multifluid/multimaterial case. The numerical method involves a genuinely multidimensional gradient limiting process that provides interface reconstruction accuracy without appearance of usually-encountered artifacts like zigzag-shaped instabilities or broken line-type attractors especially when Cartesian meshes are used. The approach is also extended to the multimaterial cases that gives very promising results. In particular, the well-known stretching Kothe-Rider test case has been extended up to five materials and provide convincing results.
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