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Title: Establishing mesh topology in multi-material cells: enabling technology for robust and accurate multi-material simulations

Abstract

Real world problems are typically multi-material, combining materials such as gases, liquids and solids that have very different properties. The material interfaces may be fixed in time or can be a part of the solution, as in fluid-structure interactions or air-water dynamics, and therefore move and change shape. In such problems the computational mesh may be non-conformal to interfaces due to complexity of these interfaces, presence of small fractions of materials, or because the mesh does not move with the flow, as in the arbitrary Lagrangian–Eulerian (ALE) methods. In order to solve problems of interest on such meshes, interface reconstruction methods are usually used to recover an approximation of material regions within the cells. For a cell intersecting multiple material regions, these approximations of contained subregions can be considered as single-material subcells in a local mesh that we call a minimesh. In this paper, we discuss some of the requirements that discretization methods have on topological information in the resulting hierarchical meshes and present an approach that allows incorporating the buildup of sufficiently detailed topology into the nested dissections based PLIC-type reconstruction algorithms (e.g. Volume-of-Fluid, Moment-of-Fluid) in an efficient and robust manner. Specifically, we describe the X-MOF interface reconstruction algorithmmore » in 2D, which extends the Moment-Of-Fluid (MOF) method to include the topology of minimeshes created inside of multi-material cells and parent-child relations between corresponding mesh entities on different hierarchy levels. X-MOF retains the property of being local to a cell and not requiring external communication, which makes it suitable for massively parallel applications. Here, we demonstrate some scaling results for the X-MOF implementation in Tangram, a modern interface reconstruction framework for exascale computing.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [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.:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1440485
Alternate Identifier(s):
OSTI ID: 1564381
Report Number(s):
LA-UR-17-31096
Journal ID: ISSN 0045-7930
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Computers and Fluids
Additional Journal Information:
Journal Volume: 172; Journal ID: ISSN 0045-7930
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; Computer Science; Mathematics; Multi-material problems; Interface reconstruction

Citation Formats

Kikinzon, Evgeny, Shashkov, Mikhail Jurievich, and Garimella, Rao Veerabhadra. Establishing mesh topology in multi-material cells: enabling technology for robust and accurate multi-material simulations. United States: N. p., 2018. Web. doi:10.1016/j.compfluid.2018.05.026.
Kikinzon, Evgeny, Shashkov, Mikhail Jurievich, & Garimella, Rao Veerabhadra. Establishing mesh topology in multi-material cells: enabling technology for robust and accurate multi-material simulations. United States. doi:https://doi.org/10.1016/j.compfluid.2018.05.026
Kikinzon, Evgeny, Shashkov, Mikhail Jurievich, and Garimella, Rao Veerabhadra. Tue . "Establishing mesh topology in multi-material cells: enabling technology for robust and accurate multi-material simulations". United States. doi:https://doi.org/10.1016/j.compfluid.2018.05.026. https://www.osti.gov/servlets/purl/1440485.
@article{osti_1440485,
title = {Establishing mesh topology in multi-material cells: enabling technology for robust and accurate multi-material simulations},
author = {Kikinzon, Evgeny and Shashkov, Mikhail Jurievich and Garimella, Rao Veerabhadra},
abstractNote = {Real world problems are typically multi-material, combining materials such as gases, liquids and solids that have very different properties. The material interfaces may be fixed in time or can be a part of the solution, as in fluid-structure interactions or air-water dynamics, and therefore move and change shape. In such problems the computational mesh may be non-conformal to interfaces due to complexity of these interfaces, presence of small fractions of materials, or because the mesh does not move with the flow, as in the arbitrary Lagrangian–Eulerian (ALE) methods. In order to solve problems of interest on such meshes, interface reconstruction methods are usually used to recover an approximation of material regions within the cells. For a cell intersecting multiple material regions, these approximations of contained subregions can be considered as single-material subcells in a local mesh that we call a minimesh. In this paper, we discuss some of the requirements that discretization methods have on topological information in the resulting hierarchical meshes and present an approach that allows incorporating the buildup of sufficiently detailed topology into the nested dissections based PLIC-type reconstruction algorithms (e.g. Volume-of-Fluid, Moment-of-Fluid) in an efficient and robust manner. Specifically, we describe the X-MOF interface reconstruction algorithm in 2D, which extends the Moment-Of-Fluid (MOF) method to include the topology of minimeshes created inside of multi-material cells and parent-child relations between corresponding mesh entities on different hierarchy levels. X-MOF retains the property of being local to a cell and not requiring external communication, which makes it suitable for massively parallel applications. Here, we demonstrate some scaling results for the X-MOF implementation in Tangram, a modern interface reconstruction framework for exascale computing.},
doi = {10.1016/j.compfluid.2018.05.026},
journal = {Computers and Fluids},
number = ,
volume = 172,
place = {United States},
year = {2018},
month = {5}
}

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Figures / Tables:

Figure 1 Figure 1: Multi-material domain containing seven materials distributed over nine subdomains including two thin material layers shown in navy blue; top left - materials colored by different colors, top right - material interfaces, bottom left - domain with a superimposed computational mesh, bottom right - reconstructed interfaces between materials formore » this computational mesh« less

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