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.

本文致力于设计一种无伪影且几何精确的低扩散界面捕获方法，用于扩展到多流体/多材料情况下的纯平流问题。数值方法涉及真正的多维梯度限制过程，可提供界面重建精度，而不会出现通常遇到的伪影，如锯齿形不稳定性或折线型吸引子，尤其是在使用笛卡尔网格时。该方法还扩展到多材料案例，给出了非常有希望的结果。特别是著名的拉伸 Kothe-Rider 测试用例已扩展到五种材料并提供令人信服的结果。