Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 444, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2021.110576
Keywords
Finite-volume method; Level set method; Triangular C-grid; Central interpolation; Horizontal divergence error
Funding
- National Council of Science and Technology, Mexico
- CONACYT
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This paper introduces a second-order unstructured finite-volume method developed to solve a conservative level-set equation in two-and three-dimensional geometries. The method shows good performance and accuracy in capturing interface problems, particularly in smooth framework resulting from the signed distance function.
In this paper, we introduce a second-order unstructured finite-volume method developed to solve a conservative level-set equation in two-and three-dimensional geometries. The characteristic function for the flow is defined at the center of each cell while the face-normal velocities are calculated at the mid-points of the corresponding cell faces. An interpolation method independent of cell shape and based on a central scheme is applied for the approximations at the cell faces. The capabilities and performance of the proposed scheme are validated using several 2D and 3D tests. Results show that the present numerical method is quite suitable for working within the smooth framework resulting from the signed distance function. Moreover, this method yields very accurate results in interface-capturing problems such as the single vortex deformation. (C) 2021 Elsevier Inc. All rights reserved.
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