Robust 3D multi‐material hydrodynamics using discontinuous Galerkin methods
A high‐order discontinuous Galerkin (DG) method is presented for nonequilibrium multi‐material () flow with sharp interfaces. Material interfaces are reconstructed using the algebraic THINC approach, resulting in a sharp interface resolution. The system assumes stiff velocity relaxation and pressure...
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Veröffentlicht in: | International journal for numerical methods in fluids 2024-10 |
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creator | Li, Weizhao Pandare, Aditya Luo, Hong Bakosi, Jozsef Waltz, Jacob |
description | A high‐order discontinuous Galerkin (DG) method is presented for nonequilibrium multi‐material () flow with sharp interfaces. Material interfaces are reconstructed using the algebraic THINC approach, resulting in a sharp interface resolution. The system assumes stiff velocity relaxation and pressure nonequilibrium. The presented DG method uses Dubiner's orthogonal basis functions on tetrahedral elements. This results in a unique combination of sharp multimaterial interfaces and high‐order accurate solutions in smooth single‐material regions. A novel shock indicator based on the interface conservation condition is introduced to mark regions with discontinuities. Slope limiting techniques are applied only in these regions so that nonphysical oscillations are eliminated while maintaining high‐order accuracy in smooth regions. A local projection is applied on the limited solution to ensure discrete closure law preservation. The effectiveness of this novel limiting strategy is demonstrated for complex three‐dimensional multi‐material problems, where robustness of the method is critical. The presented numerical problems demonstrate that more accurate and efficient multi‐material solutions can be obtained by the DG method, as compared to second‐order finite volume methods. |
doi_str_mv | 10.1002/fld.5340 |
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Material interfaces are reconstructed using the algebraic THINC approach, resulting in a sharp interface resolution. The system assumes stiff velocity relaxation and pressure nonequilibrium. The presented DG method uses Dubiner's orthogonal basis functions on tetrahedral elements. This results in a unique combination of sharp multimaterial interfaces and high‐order accurate solutions in smooth single‐material regions. A novel shock indicator based on the interface conservation condition is introduced to mark regions with discontinuities. Slope limiting techniques are applied only in these regions so that nonphysical oscillations are eliminated while maintaining high‐order accuracy in smooth regions. A local projection is applied on the limited solution to ensure discrete closure law preservation. The effectiveness of this novel limiting strategy is demonstrated for complex three‐dimensional multi‐material problems, where robustness of the method is critical. The presented numerical problems demonstrate that more accurate and efficient multi‐material solutions can be obtained by the DG method, as compared to second‐order finite volume methods.</description><identifier>ISSN: 0271-2091</identifier><identifier>EISSN: 1097-0363</identifier><identifier>DOI: 10.1002/fld.5340</identifier><language>eng</language><publisher>United States: Wiley</publisher><subject>algebraic interface reconstruction ; discontinuous Galerkin ; nonequilibrium multimaterial</subject><ispartof>International journal for numerical methods in fluids, 2024-10</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c179t-de24bb430b2135967b1976373ef15fcf9a7aa5a9624f4ce987ca3fcb405093433</cites><orcidid>0000-0003-0163-7321 ; 0000000301637321 ; 000000033374691X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885,27924,27925</link.rule.ids><backlink>$$Uhttps://www.osti.gov/servlets/purl/2467390$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Li, Weizhao</creatorcontrib><creatorcontrib>Pandare, Aditya</creatorcontrib><creatorcontrib>Luo, Hong</creatorcontrib><creatorcontrib>Bakosi, Jozsef</creatorcontrib><creatorcontrib>Waltz, Jacob</creatorcontrib><creatorcontrib>Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)</creatorcontrib><title>Robust 3D multi‐material hydrodynamics using discontinuous Galerkin methods</title><title>International journal for numerical methods in fluids</title><description>A high‐order discontinuous Galerkin (DG) method is presented for nonequilibrium multi‐material () flow with sharp interfaces. Material interfaces are reconstructed using the algebraic THINC approach, resulting in a sharp interface resolution. The system assumes stiff velocity relaxation and pressure nonequilibrium. The presented DG method uses Dubiner's orthogonal basis functions on tetrahedral elements. This results in a unique combination of sharp multimaterial interfaces and high‐order accurate solutions in smooth single‐material regions. A novel shock indicator based on the interface conservation condition is introduced to mark regions with discontinuities. Slope limiting techniques are applied only in these regions so that nonphysical oscillations are eliminated while maintaining high‐order accuracy in smooth regions. A local projection is applied on the limited solution to ensure discrete closure law preservation. The effectiveness of this novel limiting strategy is demonstrated for complex three‐dimensional multi‐material problems, where robustness of the method is critical. The presented numerical problems demonstrate that more accurate and efficient multi‐material solutions can be obtained by the DG method, as compared to second‐order finite volume methods.</description><subject>algebraic interface reconstruction</subject><subject>discontinuous Galerkin</subject><subject>nonequilibrium multimaterial</subject><issn>0271-2091</issn><issn>1097-0363</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNotkMFKAzEURYMoWKvgJwRXbqa-5GUmzVKqrUJFEF0PmUxiozMTSTKL7vwEv9EvsaWu7uZwORxCLhnMGAC_cV07K1HAEZkwULIArPCYTIBLVnBQ7JScpfQBAIrPcUKeXkIzpkzxjvZjl_3v90-vs41ed3SzbWNot4PuvUl0TH54p61PJgzZD2MYE13pzsZPP9De5k1o0zk5cbpL9uJ_p-Rtef-6eCjWz6vHxe26MEyqXLSWi6YRCA1nWKpKNkzJCiVax0pnnNJS61KrigsnjFVzaTQ60wgoQaFAnJKrw29I2dfJ-GzNZuc1WJNrLiqJCnbQ9QEyMaQUrau_ou913NYM6n2reteq3rfCP8ACXcU</recordid><startdate>20241008</startdate><enddate>20241008</enddate><creator>Li, Weizhao</creator><creator>Pandare, Aditya</creator><creator>Luo, Hong</creator><creator>Bakosi, Jozsef</creator><creator>Waltz, Jacob</creator><general>Wiley</general><scope>AAYXX</scope><scope>CITATION</scope><scope>OIOZB</scope><scope>OTOTI</scope><orcidid>https://orcid.org/0000-0003-0163-7321</orcidid><orcidid>https://orcid.org/0000000301637321</orcidid><orcidid>https://orcid.org/000000033374691X</orcidid></search><sort><creationdate>20241008</creationdate><title>Robust 3D multi‐material hydrodynamics using discontinuous Galerkin methods</title><author>Li, Weizhao ; Pandare, Aditya ; Luo, Hong ; Bakosi, Jozsef ; Waltz, Jacob</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c179t-de24bb430b2135967b1976373ef15fcf9a7aa5a9624f4ce987ca3fcb405093433</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>algebraic interface reconstruction</topic><topic>discontinuous Galerkin</topic><topic>nonequilibrium multimaterial</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Weizhao</creatorcontrib><creatorcontrib>Pandare, Aditya</creatorcontrib><creatorcontrib>Luo, Hong</creatorcontrib><creatorcontrib>Bakosi, Jozsef</creatorcontrib><creatorcontrib>Waltz, Jacob</creatorcontrib><creatorcontrib>Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV - Hybrid</collection><collection>OSTI.GOV</collection><jtitle>International journal for numerical methods in fluids</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Weizhao</au><au>Pandare, Aditya</au><au>Luo, Hong</au><au>Bakosi, Jozsef</au><au>Waltz, Jacob</au><aucorp>Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Robust 3D multi‐material hydrodynamics using discontinuous Galerkin methods</atitle><jtitle>International journal for numerical methods in fluids</jtitle><date>2024-10-08</date><risdate>2024</risdate><issn>0271-2091</issn><eissn>1097-0363</eissn><abstract>A high‐order discontinuous Galerkin (DG) method is presented for nonequilibrium multi‐material () flow with sharp interfaces. Material interfaces are reconstructed using the algebraic THINC approach, resulting in a sharp interface resolution. The system assumes stiff velocity relaxation and pressure nonequilibrium. The presented DG method uses Dubiner's orthogonal basis functions on tetrahedral elements. This results in a unique combination of sharp multimaterial interfaces and high‐order accurate solutions in smooth single‐material regions. A novel shock indicator based on the interface conservation condition is introduced to mark regions with discontinuities. Slope limiting techniques are applied only in these regions so that nonphysical oscillations are eliminated while maintaining high‐order accuracy in smooth regions. A local projection is applied on the limited solution to ensure discrete closure law preservation. The effectiveness of this novel limiting strategy is demonstrated for complex three‐dimensional multi‐material problems, where robustness of the method is critical. 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subjects | algebraic interface reconstruction discontinuous Galerkin nonequilibrium multimaterial |
title | Robust 3D multi‐material hydrodynamics using discontinuous Galerkin methods |
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