Robust three-dimensional level-set method for evolving fronts on complex unstructured meshes
type: Item
instance of: scholarly article
title: Robust three-dimensional level-set method for evolving fronts on complex unstructured meshes
zbMATH Open document ID: 1427.65193
DOI: 10.1155/2018/2730829
author: Ran Wei
author: Futing Bao
author: Yang Liu
author: Weihua Hui
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 7018697
describes a project that uses: Gmsh
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2730829
OpenAlex ID: W2894316979
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: A multiphase level set framework for image segmentation using the Mumford and Shah model
cites work: Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
cites work: Level set methods applied to modeling detonation shock dynamics
cites work: Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes
cites work: Numerical schemes for Hamilton-Jacobi equations on unstructured meshes
cites work: Numerical Discretization of Boundary Conditions for First Order Hamilton--Jacobi Equations
cites work: High-Order WENO Schemes for Hamilton--Jacobi Equations on Triangular Meshes
cites work: Weighted essentially non-oscillatory schemes on triangular meshes
cites work: Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes
cites work: High order numerical discretization for Hamilton-Jacobi equations on triangular meshes.
cites work: Q5268604
cites work: 3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement
cites work: Level set methods and dynamic implicit surfaces
cites work: Tetrahedral decompositions of hexahedral meshes
cites work: Q5558541
cites work: A level set approach for computing solutions to incompressible two-phase flow
cites work: Parallel re-initialization of level set functions on distributed unstructured tetrahedral grids
cites work: On reinitializing level set functions
cites work: Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
cites work: Estimation of convergence orders in repeated Richardson extrapolation
Wikidata QID: Q129192324
description: scientific article; zbMATH DE number 7018697