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dc.contributor.authorYang, Haijian
dc.contributor.authorSun, Shuyu
dc.contributor.authorLi, Yiteng
dc.contributor.authorYang, Chao
dc.date.accessioned2019-09-10T12:56:23Z
dc.date.available2019-09-10T12:56:23Z
dc.date.issued2019-07-30
dc.identifier.citationYang, H., Sun, S., Li, Y., & Yang, C. (2019). Parallel reservoir simulators for fully implicit complementarity formulation of multicomponent compressible flows. Computer Physics Communications, 244, 2–12. doi:10.1016/j.cpc.2019.07.011
dc.identifier.doi10.1016/j.cpc.2019.07.011
dc.identifier.urihttp://hdl.handle.net/10754/656717
dc.description.abstractThe numerical simulation of multicomponent compressible flow in porous media is an important research topic in reservoir modeling. Traditional semi-implicit methods for such problems are usually conditionally stable, suffer from large splitting errors, and may accompany with violations of the boundedness requirement of the numerical solution. In this study we reformulate the original multicomponent equations into a nonlinear complementarity problem and discretize it using a fully implicit finite element method. We solve the resultant nonsmooth nonlinear system of equations arising at each time step by a parallel, scalable, and nonlinearly preconditioned semismooth Newton algorithm, which is able to preserve the boundedness of the solution and meanwhile treats the possibly imbalanced nonlinearity of the system. Some numerical results are presented to demonstrate the robustness and efficiency of the proposed algorithm on the Tianhe-2 supercomputer for both standard benchmarks as well as realistic problems in highly heterogeneous media.
dc.description.sponsorshipThe authors would like to express their appreciationto the anonymous reviewers for the invaluable comments that have greatly improved the quality of the manuscript. The work was supported in part by the National Natural Science Foundation of China (11571100 and 11871069).
dc.publisherElsevier BV
dc.relation.urlhttps://linkinghub.elsevier.com/retrieve/pii/S001046551930222X
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Computer Physics Communications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Physics Communications, [[Volume], [Issue], (2019-07-30)] DOI: 10.1016/j.cpc.2019.07.011 . © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectReservoir simulation
dc.subjectFully implicit method
dc.subjectComplementarity problem
dc.subjectParallel computing
dc.titleParallel reservoir simulators for fully implicit complementarity formulation of multicomponent compressible flows
dc.typeArticle
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalComputer Physics Communications
dc.rights.embargodate2021-07-30
dc.eprint.versionPost-print
dc.contributor.institutionCollege of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China
dc.contributor.institutionSchool of Mathematical Sciences, Peking University, Beijing 100871, PR China
kaust.personSun, Shuyu
kaust.personLi, Yiteng
dc.date.published-online2019-07-30
dc.date.published-print2019-11


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