An indicator‐based problem reduction scheme for coupled reactive transport models
Summary A number of effective models have been developed for simulating chemical transport in porous media; however, when a reactive chemical problem comprises multiple species within a substantial domain for a long period of time, the computational cost can become prohibitively expensive. This issu...
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Veröffentlicht in: | International journal for numerical methods in engineering 2019-12, Vol.120 (13), p.1428-1455 |
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creator | Freeman, Brubeck Lee Cleall, Peter John Jefferson, Anthony Duncan |
description | Summary
A number of effective models have been developed for simulating chemical transport in porous media; however, when a reactive chemical problem comprises multiple species within a substantial domain for a long period of time, the computational cost can become prohibitively expensive. This issue is addressed here by proposing a new numerical procedure to reduce the number of transport equations to be solved. This new problem reduction scheme (PRS) uses a predictor‐corrector approach, which “predicts” the transport of a set of non‐indicator species using results from a set of indicator species before “correcting” the non‐indicator concentrations using a mass balance error measure. The full chemical transport model is described along with experimental validation. The PRS is then presented together with an investigation, based on a 16‐species reaction‐advection‐diffusion problem, which determines the range of applicability of different orders of the PRS. The results of a further study are presented, in which a set of PRS simulations is compared with those from full model predictions. The application of the scheme to the intermediate‐sized problems considered in the present study showed reductions of up to 82% in CPU time, with good levels of accuracy maintained. |
doi_str_mv | 10.1002/nme.6186 |
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A number of effective models have been developed for simulating chemical transport in porous media; however, when a reactive chemical problem comprises multiple species within a substantial domain for a long period of time, the computational cost can become prohibitively expensive. This issue is addressed here by proposing a new numerical procedure to reduce the number of transport equations to be solved. This new problem reduction scheme (PRS) uses a predictor‐corrector approach, which “predicts” the transport of a set of non‐indicator species using results from a set of indicator species before “correcting” the non‐indicator concentrations using a mass balance error measure. The full chemical transport model is described along with experimental validation. The PRS is then presented together with an investigation, based on a 16‐species reaction‐advection‐diffusion problem, which determines the range of applicability of different orders of the PRS. The results of a further study are presented, in which a set of PRS simulations is compared with those from full model predictions. The application of the scheme to the intermediate‐sized problems considered in the present study showed reductions of up to 82% in CPU time, with good levels of accuracy maintained.</description><identifier>ISSN: 0029-5981</identifier><identifier>EISSN: 1097-0207</identifier><identifier>DOI: 10.1002/nme.6186</identifier><identifier>PMID: 32327811</identifier><language>eng</language><publisher>England: Wiley Subscription Services, Inc</publisher><subject>Computer simulation ; coupled models ; Error analysis ; Error correction ; finite element ; Mass balance ; Organic chemistry ; Porous media ; problem size reduction ; reactive transport ; Reduction ; Species diffusion ; Transport equations</subject><ispartof>International journal for numerical methods in engineering, 2019-12, Vol.120 (13), p.1428-1455</ispartof><rights>2019 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4386-ca379f8895b07f5503b28425bc799008c6475eeb2bed679b1d6d7efd73e3f9dd3</citedby><cites>FETCH-LOGICAL-c4386-ca379f8895b07f5503b28425bc799008c6475eeb2bed679b1d6d7efd73e3f9dd3</cites><orcidid>0000-0002-2050-2521 ; 0000-0002-4005-5319 ; 0000-0002-2414-5832</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fnme.6186$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnme.6186$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>230,314,776,780,881,1411,27901,27902,45550,45551</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/32327811$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Freeman, Brubeck Lee</creatorcontrib><creatorcontrib>Cleall, Peter John</creatorcontrib><creatorcontrib>Jefferson, Anthony Duncan</creatorcontrib><title>An indicator‐based problem reduction scheme for coupled reactive transport models</title><title>International journal for numerical methods in engineering</title><addtitle>Int J Numer Methods Eng</addtitle><description>Summary
A number of effective models have been developed for simulating chemical transport in porous media; however, when a reactive chemical problem comprises multiple species within a substantial domain for a long period of time, the computational cost can become prohibitively expensive. This issue is addressed here by proposing a new numerical procedure to reduce the number of transport equations to be solved. This new problem reduction scheme (PRS) uses a predictor‐corrector approach, which “predicts” the transport of a set of non‐indicator species using results from a set of indicator species before “correcting” the non‐indicator concentrations using a mass balance error measure. The full chemical transport model is described along with experimental validation. The PRS is then presented together with an investigation, based on a 16‐species reaction‐advection‐diffusion problem, which determines the range of applicability of different orders of the PRS. The results of a further study are presented, in which a set of PRS simulations is compared with those from full model predictions. The application of the scheme to the intermediate‐sized problems considered in the present study showed reductions of up to 82% in CPU time, with good levels of accuracy maintained.</description><subject>Computer simulation</subject><subject>coupled models</subject><subject>Error analysis</subject><subject>Error correction</subject><subject>finite element</subject><subject>Mass balance</subject><subject>Organic chemistry</subject><subject>Porous media</subject><subject>problem size reduction</subject><subject>reactive transport</subject><subject>Reduction</subject><subject>Species diffusion</subject><subject>Transport equations</subject><issn>0029-5981</issn><issn>1097-0207</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kctO3TAURa0KBJeH1C9AkZh0EupHEtsTJIRoQaJ00DK2_DiBoMRO7QTErJ_Qb-yXYLiXRysxOoO9tLSPNkIfCT4gGNPPfoCDhojmA1oQLHmJKeZraJEjWdZSkE20ldINxoTUmG2gTUYZ5YKQBfpx5IvOu87qKcS_v_8YncAVYwymh6GI4GY7dcEXyV7DAEUbYmHDPPYZiqBzdgvFFLVPY4hTMQQHfdpB663uE-yu7ja6_HLy8_i0PP_-9ez46Ly0FRNNaTXjshVC1gbzts7NDBUVrY3lUmIsbFPxGsBQA67h0hDXOA6t4wxYK51j2-hw6R1nM4Cz4HOTXo2xG3S8V0F36t_Ed9fqKtwqThrOMc-CTytBDL9mSJMaumSh77WHMCdFmayEqAjFGd3_D70Jc_T5vUwRVklJWf0qtDGkFKF9KUOwelxK5aXU41IZ3Xtb_gV8niYD5RK463q4f1ekLr6dPAkfAO7_nxg</recordid><startdate>20191228</startdate><enddate>20191228</enddate><creator>Freeman, Brubeck Lee</creator><creator>Cleall, Peter John</creator><creator>Jefferson, Anthony Duncan</creator><general>Wiley Subscription Services, Inc</general><general>John Wiley and Sons Inc</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>7X8</scope><scope>5PM</scope><orcidid>https://orcid.org/0000-0002-2050-2521</orcidid><orcidid>https://orcid.org/0000-0002-4005-5319</orcidid><orcidid>https://orcid.org/0000-0002-2414-5832</orcidid></search><sort><creationdate>20191228</creationdate><title>An indicator‐based problem reduction scheme for coupled reactive transport models</title><author>Freeman, Brubeck Lee ; Cleall, Peter John ; Jefferson, Anthony Duncan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4386-ca379f8895b07f5503b28425bc799008c6475eeb2bed679b1d6d7efd73e3f9dd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Computer simulation</topic><topic>coupled models</topic><topic>Error analysis</topic><topic>Error correction</topic><topic>finite element</topic><topic>Mass balance</topic><topic>Organic chemistry</topic><topic>Porous media</topic><topic>problem size reduction</topic><topic>reactive transport</topic><topic>Reduction</topic><topic>Species diffusion</topic><topic>Transport equations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Freeman, Brubeck Lee</creatorcontrib><creatorcontrib>Cleall, Peter John</creatorcontrib><creatorcontrib>Jefferson, Anthony Duncan</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>International journal for numerical methods in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Freeman, Brubeck Lee</au><au>Cleall, Peter John</au><au>Jefferson, Anthony Duncan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An indicator‐based problem reduction scheme for coupled reactive transport models</atitle><jtitle>International journal for numerical methods in engineering</jtitle><addtitle>Int J Numer Methods Eng</addtitle><date>2019-12-28</date><risdate>2019</risdate><volume>120</volume><issue>13</issue><spage>1428</spage><epage>1455</epage><pages>1428-1455</pages><issn>0029-5981</issn><eissn>1097-0207</eissn><abstract>Summary
A number of effective models have been developed for simulating chemical transport in porous media; however, when a reactive chemical problem comprises multiple species within a substantial domain for a long period of time, the computational cost can become prohibitively expensive. This issue is addressed here by proposing a new numerical procedure to reduce the number of transport equations to be solved. This new problem reduction scheme (PRS) uses a predictor‐corrector approach, which “predicts” the transport of a set of non‐indicator species using results from a set of indicator species before “correcting” the non‐indicator concentrations using a mass balance error measure. The full chemical transport model is described along with experimental validation. The PRS is then presented together with an investigation, based on a 16‐species reaction‐advection‐diffusion problem, which determines the range of applicability of different orders of the PRS. The results of a further study are presented, in which a set of PRS simulations is compared with those from full model predictions. The application of the scheme to the intermediate‐sized problems considered in the present study showed reductions of up to 82% in CPU time, with good levels of accuracy maintained.</abstract><cop>England</cop><pub>Wiley Subscription Services, Inc</pub><pmid>32327811</pmid><doi>10.1002/nme.6186</doi><tpages>29</tpages><orcidid>https://orcid.org/0000-0002-2050-2521</orcidid><orcidid>https://orcid.org/0000-0002-4005-5319</orcidid><orcidid>https://orcid.org/0000-0002-2414-5832</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Computer simulation coupled models Error analysis Error correction finite element Mass balance Organic chemistry Porous media problem size reduction reactive transport Reduction Species diffusion Transport equations |
title | An indicator‐based problem reduction scheme for coupled reactive transport models |
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