3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement

Morgan, Nathaniel R.; Waltz, Jacob I.

doi:10.1016/j.jcp.2017.02.030

Title: 3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement

Abstract

The level set method is commonly used to model dynamically evolving fronts and interfaces. In this work, we present new methods for evolving fronts with a specified velocity field or in the surface normal direction on 3D unstructured tetrahedral meshes with adaptive mesh refinement (AMR). The level set field is located at the nodes of the tetrahedral cells and is evolved using new upwind discretizations of Hamilton–Jacobi equations combined with a Runge–Kutta method for temporal integration. The level set field is periodically reinitialized to a signed distance function using an iterative approach with a new upwind gradient. We discuss the details of these level set and reinitialization methods. Results from a range of numerical test problems are presented.

Authors:: Morgan, Nathaniel R.; Waltz, Jacob I.

Publication Date:: Mon May 01 00:00:00 EDT 2017

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1345425

Alternate Identifier(s):: OSTI ID: 1345928

Report Number(s):: LA-UR-15-28711
Journal ID: ISSN 0021-9991; S0021999117301237; PII: S0021999117301237

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Published Article

Journal Name:: Journal of Computational Physics

Additional Journal Information:: Journal Name: Journal of Computational Physics Journal Volume: 336 Journal Issue: C; Journal ID: ISSN 0021-9991

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Numerical methods

Citation Formats


                    Morgan, Nathaniel R., and Waltz, Jacob I. 3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement.  United States: N. p., 2017. 
Web.  doi:10.1016/j.jcp.2017.02.030.

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                    Morgan, Nathaniel R., & Waltz, Jacob I. 3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement.  United States.  https://doi.org/10.1016/j.jcp.2017.02.030

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                    Morgan, Nathaniel R., and Waltz, Jacob I. Mon .  
"3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement".  United States.  https://doi.org/10.1016/j.jcp.2017.02.030.

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@article{osti_1345425,

  title        = {3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement},

  author       = {Morgan, Nathaniel R. and Waltz, Jacob I.},

  abstractNote = {The level set method is commonly used to model dynamically evolving fronts and interfaces. In this work, we present new methods for evolving fronts with a specified velocity field or in the surface normal direction on 3D unstructured tetrahedral meshes with adaptive mesh refinement (AMR). The level set field is located at the nodes of the tetrahedral cells and is evolved using new upwind discretizations of Hamilton–Jacobi equations combined with a Runge–Kutta method for temporal integration. The level set field is periodically reinitialized to a signed distance function using an iterative approach with a new upwind gradient. We discuss the details of these level set and reinitialization methods. Results from a range of numerical test problems are presented.},

  doi          = {10.1016/j.jcp.2017.02.030},

  journal      = {Journal of Computational Physics},

  number       = C,

  volume       = 336,

  place        = {United States},

  year         = {Mon May 01 00:00:00 EDT 2017},

  month        = {Mon May 01 00:00:00 EDT 2017}

}

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Works referencing / citing this record:

A reconstructed discontinuous Galerkin method for multi‐material hydrodynamics with sharp interfaces
journal, January 2020

Pandare, Aditya K.; Waltz, Jacob; Bakosi, Jozsef
International Journal for Numerical Methods in Fluids, Vol. 92, Issue 8
DOI: 10.1002/fld.4810

Robust Three-Dimensional Level-Set Method for Evolving Fronts on Complex Unstructured Meshes
journal, September 2018

Wei, Ran; Bao, Futing; Liu, Yang
Mathematical Problems in Engineering, Vol. 2018
DOI: 10.1155/2018/2730829

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Title: 3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement

Abstract

Citation Formats

A reconstructed discontinuous Galerkin method for multi‐material hydrodynamics with sharp interfaces journal, January 2020

Robust Three-Dimensional Level-Set Method for Evolving Fronts on Complex Unstructured Meshes journal, September 2018

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