An conservative anti-diffusion technique for the level set method

作者：Guermond Jean Luc; de Luna Manuel Quezada; Thompson Travis

来源：Journal of Computational and Applied Mathematics, 2017, 321: 448-468.

DOI：10.1016/j.cam.2017.02.016

• Conservative
• Level set
• Two phase flow
• Finite volume
• Finite element
• Entropy viscosity

A novel conservative level set method is introduced for the approximation of two-phase incompressible fluid flows. The method builds on recent conservative level set approaches and utilizes an entropy production to construct a balanced artificial diffusion and artificial anti-diffusion. The method is self-tuning, maximum principle preserving, suitable for unstructured meshes, and neither re-initialization of the level set function nor reconstruction of the interface is needed for long-time simulation. Computational results in one, two and three dimensions are presented for finite element and finite volume implementations of the method.

• 出版日期2017-9