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dc.contributor.authorLi, Jing Fa
dc.contributor.authorYu, Bo
dc.contributor.authorWang, Dao Bing
dc.contributor.authorSun, Shuyu
dc.contributor.authorSun, Dong Liang
dc.date.accessioned2020-10-04T08:39:11Z
dc.date.available2020-10-04T08:39:11Z
dc.date.issued2020-09-28
dc.date.submitted2020-07-02
dc.identifier.citationLi, J.-F., Yu, B., Wang, D.-B., Sun, S.-Y., & Sun, D.-L. (2020). An efficient multigrid-DEIM semi-reduced-order model for simulation of single-phase compressible flow in porous media. Petroleum Science. doi:10.1007/s12182-020-00509-y
dc.identifier.issn1995-8226
dc.identifier.issn1672-5107
dc.identifier.doi10.1007/s12182-020-00509-y
dc.identifier.urihttp://hdl.handle.net/10754/665418
dc.description.abstractIn this paper, an efficient multigrid-DEIM semi-reduced-order model is developed to accelerate the simulation of unsteady single-phase compressible flow in porous media. The cornerstone of the proposed model is that the full approximate storage multigrid method is used to accelerate the solution of flow equation in original full-order space, and the discrete empirical interpolation method (DEIM) is applied to speed up the solution of Peng–Robinson equation of state in reduced-order subspace. The multigrid-DEIM semi-reduced-order model combines the computation both in full-order space and in reduced-order subspace, which not only preserves good prediction accuracy of full-order model, but also gains dramatic computational acceleration by multigrid and DEIM. Numerical performances including accuracy and acceleration of the proposed model are carefully evaluated by comparing with that of the standard semi-implicit method. In addition, the selection of interpolation points for constructing the low-dimensional subspace for solving the Peng–Robinson equation of state is demonstrated and carried out in detail. Comparison results indicate that the multigrid-DEIM semi-reduced-order model can speed up the simulation substantially at the same time preserve good computational accuracy with negligible errors. The general acceleration is up to 50–60 times faster than that of standard semi-implicit method in two-dimensional simulations, but the average relative errors of numerical results between these two methods only have the order of magnitude 10−4–10−6%.
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/10.1007/s12182-020-00509-y
dc.rightsThis article is open access licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0
dc.titleAn efficient multigrid-DEIM semi-reduced-order model for simulation of single-phase compressible flow in porous media
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.journalPetroleum Science
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionSchool of Mechanical Engineering, Beijing Key Laboratory of Pipeline Critical Technology and Equipment for Deepwater Oil and Gas Development, Beijing Institute of Petrochemical Technology, Beijing 102617, China
kaust.personSun, Shuyu
dc.date.accepted2020-09-28
dc.identifier.eid2-s2.0-85091690244
refterms.dateFOA2020-10-04T08:40:11Z


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This article is open access licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
Except where otherwise noted, this item's license is described as This article is open access licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.