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Title: Spherical geodesic mesh generation

Abstract

In ALE simulations with moving meshes, mesh topology has a direct influence on feature representation and code robustness. In three-dimensional simulations, modeling spherical volumes and features is particularly challenging for a hydrodynamics code. Calculations on traditional spherical meshes (such as spin meshes) often lead to errors and symmetry breaking. Although the underlying differencing scheme may be modified to rectify this, the differencing scheme may not be accessible. This work documents the use of spherical geodesic meshes to mitigate solution-mesh coupling. These meshes are generated notionally by connecting geodesic surface meshes to produce triangular-prismatic volume meshes. This mesh topology is fundamentally different from traditional mesh topologies and displays superior qualities such as topological symmetry. This work describes the geodesic mesh topology as well as motivating demonstrations with the FLAG hydrocode.

Authors:
 [1];  [1];  [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
DOE/LANL
OSTI Identifier:
1172317
Report Number(s):
LA-UR-15-21483
DOE Contract Number:
AC52-06NA25396
Resource Type:
Conference
Resource Relation:
Conference: NECDC 2014, Los Alamos, NM (United States), 20-24 Oct 2014
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; geodesic mesh generation

Citation Formats

Fung, Jimmy, Kenamond, Mark Andrew, Burton, Donald E., and Shashkov, Mikhail Jurievich. Spherical geodesic mesh generation. United States: N. p., 2015. Web.
Fung, Jimmy, Kenamond, Mark Andrew, Burton, Donald E., & Shashkov, Mikhail Jurievich. Spherical geodesic mesh generation. United States.
Fung, Jimmy, Kenamond, Mark Andrew, Burton, Donald E., and Shashkov, Mikhail Jurievich. Fri . "Spherical geodesic mesh generation". United States. doi:. https://www.osti.gov/servlets/purl/1172317.
@article{osti_1172317,
title = {Spherical geodesic mesh generation},
author = {Fung, Jimmy and Kenamond, Mark Andrew and Burton, Donald E. and Shashkov, Mikhail Jurievich},
abstractNote = {In ALE simulations with moving meshes, mesh topology has a direct influence on feature representation and code robustness. In three-dimensional simulations, modeling spherical volumes and features is particularly challenging for a hydrodynamics code. Calculations on traditional spherical meshes (such as spin meshes) often lead to errors and symmetry breaking. Although the underlying differencing scheme may be modified to rectify this, the differencing scheme may not be accessible. This work documents the use of spherical geodesic meshes to mitigate solution-mesh coupling. These meshes are generated notionally by connecting geodesic surface meshes to produce triangular-prismatic volume meshes. This mesh topology is fundamentally different from traditional mesh topologies and displays superior qualities such as topological symmetry. This work describes the geodesic mesh topology as well as motivating demonstrations with the FLAG hydrocode.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Feb 27 00:00:00 EST 2015},
month = {Fri Feb 27 00:00:00 EST 2015}
}

Conference:
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