Robust Three-Dimensional Level-Set Method for Evolving Fronts on Complex Unstructured Meshes

Joint Authors

Bao, Futing
Hui, Weihua
Liu, Yang
Wei, Ran

Source

Mathematical Problems in Engineering

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-09-25

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Civil Engineering

Abstract EN

With a purpose to evolve the surfaces of complex geometries in their normal direction at arbitrarily defined velocities, we have developed a robust level-set approach which runs on three-dimensional unstructured meshes.

The approach is built on the basis of an innovative spatial discretization and corresponding gradient-estimating approach.

The numerical consistency of the estimating method is mathematically proven.

A correction technology is utilized to improve accuracy near sharp geometric features.

Validation tests show that the proposed approach is able to accurately handle geometries containing sharp features, computation regions having irregular shapes, discontinuous speed fields, and topological changes.

Results of the test problems fit well with the reference results produced by analytical or other numerical methods and converge to reference results as the meshes refine.

Compared to level-set method implementations on Cartesian meshes, the proposed approach makes it easier to describe jump boundary conditions and to perform coupling simulations.

American Psychological Association (APA)

Wei, Ran& Bao, Futing& Liu, Yang& Hui, Weihua. 2018. Robust Three-Dimensional Level-Set Method for Evolving Fronts on Complex Unstructured Meshes. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1206436

Modern Language Association (MLA)

Wei, Ran…[et al.]. Robust Three-Dimensional Level-Set Method for Evolving Fronts on Complex Unstructured Meshes. Mathematical Problems in Engineering No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1206436

American Medical Association (AMA)

Wei, Ran& Bao, Futing& Liu, Yang& Hui, Weihua. Robust Three-Dimensional Level-Set Method for Evolving Fronts on Complex Unstructured Meshes. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1206436

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1206436