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A New Strategy for the Re-Initialization of the Level-Set Field: The Lagrange Method of a Multiplier

. Umer Siddiqui and Fahim Raees


Abstract

In this paper, a novel strategy has been introduced for the re-initialization of the Level-Set field by employing the Lagrange method of a multiplier approach. The introduced scheme is quite efficient, capable, and based on the Eulerian-Lagrangian method of a multiplier. The idea of a geometric-based re-initialization scheme is merged using the concept of the Finite Element Method (FEM) and then implemented to higher degree polynomials. Numerical test examples will be demonstrated that serve the effectiveness and efficacy of the introduced scheme.

 

Keywords: Re-initialization, The Level-Set method, discontinuous Galerkin method, The Finite Element Method, unstructured grid, multiphase flows, and the Lagrange method of a multiplier

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