A method to solve Hamilton-Jacobi type equation on unstructured meshes
type: Item
instance of: scholarly article
title: A method to solve Hamilton-Jacobi type equation on unstructured meshes
zbMATH Open document ID: 1477.65143
author: Alexandre Chiapolino
author: F. Fraysse
author: R. Saurel
published in: Journal of Scientific Computing
publication date: 2021-06-15T00:00:00Z
review text: A Level-Set type method is developed to approximate a first-order Hamilton-Jacobi equation on fixed unstructured meshes in the context of the constant motion of an interface in the normal direction. The interface is captured with the help of a Level-Set function approximated using a finite-volume Godunov-type scheme. Unlike, most computational approaches that consider a signed-distance function, the present Level-Set function is sharp. The method requires gradient computation that is addressed thanks to the least squares approximation. A second-order MUSCL-type scheme is used and gradients are reconstructed at face centers. Some numerical tests are presented to show the efficiency of the proposed method.
reviewed by: Abdallah Bradji
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 35F21
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 80A25
Mathematics Subject Classification ID: 76T30
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 7359312
zbMATH Keywords: Hamilton-Jacobi
zbMATH Keywords: sharp level-set
zbMATH Keywords: interfaces
zbMATH Keywords: interfacial area
zbMATH Keywords: unstructured meshes
zbMATH Keywords: hyperbolic systems
zbMATH Keywords: non-conservative
zbMATH Keywords: Godunov
zbMATH Keywords: Riemann
zbMATH Keywords: MUSCL
describes a project that uses: HLLE
describes a project that uses: Gmsh
describes a project that uses: HE-E1GODF
MaRDI profile type: Publication
full work available at URL: s10915-021-01517-9
OpenAlex ID: W3081084143
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DOI: 10.1007/S10915-021-01517-9
description: scientific article; zbMATH DE number 7359312