Parallel simulations for a 2D x/z two-phase flow fluid-solid particle model

•A parallel algorithm for a 2D x/z two-phase Eulerian approach is presented.•The numerical scheme is based on a projection technique and a finite volume method.•The parallelization is designed using block domain decomposition.•Convergence of the SOR method and the Bi-CGSTAB method are compared.•The...

Full description

Saved in:

Bibliographic Details
Published in:	Computers & fluids Vol. 173; pp. 103 - 110
Main Authors:	Uh Zapata, M., Pham Van Bang, D., Nguyen, K.D.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Ltd 15.09.2018 Elsevier BV
Subjects:	Algorithms Beds Bi-CGSTAB Coloring Computer simulation Distributed memory Domain decomposition Domain decomposition methods Erosion Hydraulic jets Mathematical models Message passing MPI Numerical methods Parallel processing Particle interactions Sediment erosion Sediment transport Sediments Simulation SOR Two dimensional flow Two dimensional models Two phase flow Bi-CGSTAB Sediment erosion Two-phase flow Domain decomposition MPI SOR
ISSN:	0045-7930, 1879-0747
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Abstract	•A parallel algorithm for a 2D x/z two-phase Eulerian approach is presented.•The numerical scheme is based on a projection technique and a finite volume method.•The parallelization is designed using block domain decomposition.•Convergence of the SOR method and the Bi-CGSTAB method are compared.•The erosion of granular beds is adopted to verify the algorithm performance. The importance of the two-phase flow model relies upon the correct simulation of specific problems in which the passive tracer model fails; however, the mathematical and numerical models need to be improved in order to reproduce fluid-solid particle interactions of greater complexity. Such is the case with regard to simulating erosion patterns suffered upon horizontal granular beds by means of a vertical water jet as shown here. Moreover, sequential platforms have proven to be insufficient in providing the required computational power needed to obtain fast and detailed simulations. In this paper, a fully parallel algorithm for a two-dimensional x/z two-phase Eulerian approach is presented and applied for the numerical solution of the erosion of sediment beds. The parallelization is designed by a row and column block domain decomposition technique using a distributed memory platform with Message Passing Interface (MPI). Arising from the numerical method, a Poisson problem for the pressure is solved at each time step. The discretization results in a non-symmetric variable-coefficient linear system which is solved using several parallel Successive Over-Relaxation (SOR) algorithms, including partitioning and coloring methods. The specification of the optimal relaxation parameter to achieve efficiency is found numerically. Results show that SOR methods achieve faster convergence rates and the simulation time achieves an order similar to that required for the typical, widely-used Bi-Conjugate Gradient Stabilized (Bi-CGSTAB) method. The performances of the algorithms are evaluated in terms of speedup and efficiency. The results indicate that the parallel code significantly improves the results of the sequential calculation in general.
AbstractList	The importance of the two-phase flow model relies upon the correct simulation of specific problems in which the passive tracer model fails; however, the mathematical and numerical models need to be improved in order to reproduce fluid-solid particle interactions of greater complexity. Such is the case with regard to simulating erosion patterns suffered upon horizontal granular beds by means of a vertical water jet as shown here. Moreover, sequential platforms have proven to be insufficient in providing the required computational power needed to obtain fast and detailed simulations. In this paper, a fully parallel algorithm for a two-dimensional x/z two-phase Eulerian approach is presented and applied for the numerical solution of the erosion of sediment beds. The parallelization is designed by a row and column block domain decomposition technique using a distributed memory platform with Message Passing Interface (MPI). Arising from the numerical method, a Poisson problem for the pressure is solved at each time step. The discretization results in a non-symmetric variable-coefficient linear system which is solved using several parallel Successive Over-Relaxation (SOR) algorithms, including partitioning and coloring methods. The specification of the optimal relaxation parameter to achieve efficiency is found numerically. Results show that SOR methods achieve faster convergence rates and the simulation time achieves an order similar to that required for the typical, widely-used Bi-Conjugate Gradient Stabilized (Bi-CGSTAB) method. The performances of the algorithms are evaluated in terms of speedup and efficiency. The results indicate that the parallel code significantly improves the results of the sequential calculation in general. •A parallel algorithm for a 2D x/z two-phase Eulerian approach is presented.•The numerical scheme is based on a projection technique and a finite volume method.•The parallelization is designed using block domain decomposition.•Convergence of the SOR method and the Bi-CGSTAB method are compared.•The erosion of granular beds is adopted to verify the algorithm performance. The importance of the two-phase flow model relies upon the correct simulation of specific problems in which the passive tracer model fails; however, the mathematical and numerical models need to be improved in order to reproduce fluid-solid particle interactions of greater complexity. Such is the case with regard to simulating erosion patterns suffered upon horizontal granular beds by means of a vertical water jet as shown here. Moreover, sequential platforms have proven to be insufficient in providing the required computational power needed to obtain fast and detailed simulations. In this paper, a fully parallel algorithm for a two-dimensional x/z two-phase Eulerian approach is presented and applied for the numerical solution of the erosion of sediment beds. The parallelization is designed by a row and column block domain decomposition technique using a distributed memory platform with Message Passing Interface (MPI). Arising from the numerical method, a Poisson problem for the pressure is solved at each time step. The discretization results in a non-symmetric variable-coefficient linear system which is solved using several parallel Successive Over-Relaxation (SOR) algorithms, including partitioning and coloring methods. The specification of the optimal relaxation parameter to achieve efficiency is found numerically. Results show that SOR methods achieve faster convergence rates and the simulation time achieves an order similar to that required for the typical, widely-used Bi-Conjugate Gradient Stabilized (Bi-CGSTAB) method. The performances of the algorithms are evaluated in terms of speedup and efficiency. The results indicate that the parallel code significantly improves the results of the sequential calculation in general.
Author	Pham Van Bang, D. Uh Zapata, M. Nguyen, K.D.
Author_xml	– sequence: 1 givenname: M. orcidid: 0000-0001-8693-0310 surname: Uh Zapata fullname: Uh Zapata, M. email: angeluh@cimat.mx organization: CONACYT – Centro de Investigación en Matemáticas A. C., CIMAT Unidad Mérida, Sierra Papacal, CP, Mérida, Yucatán 97302, Mexico – sequence: 2 givenname: D. surname: Pham Van Bang fullname: Pham Van Bang, D. organization: Laboratory for Hydraulics Saint Venant, Université Paris-Est, ENPC-EDF-CEREMA, Chatou 78400, France – sequence: 3 givenname: K.D. surname: Nguyen fullname: Nguyen, K.D. organization: Laboratory for Hydraulics Saint Venant, Université Paris-Est, ENPC-EDF-CEREMA, Chatou 78400, France
BookMark	eNqNkMtKAzEUhoNUsK0-gwHXM82tc1m4KPWKgi50HdLkBFPSyZhMrfr0Tltx4UZX5xz4v__AN0KDJjSA0CklOSW0mCxzHVat9WtnckZolROeE1ofoCGtyjojpSgHaEiImGZlzckRGqW0JP3NmRiiu0cVlffgcXKrtVedC03CNkSsMLvA75NP3G1C1r6oBNj6sMG7T1kK3hncqtg57QGvggF_jA6t8glOvucYPV9dPs1vsvuH69v57D7TXPAuE6WyNakKU5V0oXjVb7RWgkENRaXKQmmxMNaYRVHVglktDKHKGMEth-kULB-js31vG8PrGlInl2Edm_6lZJQKxogQrE-V-5SOIaUIVrbRrVT8kJTIrTm5lD_m5NacJFz25nry_BepXbcz00Xl_D_42Z6HXsKbgyiTdtBoMC6C7qQJ7s-OLwZ3koM
CitedBy_id	crossref_primary_10_1016_j_envsoft_2021_104958 crossref_primary_10_1016_j_euromechflu_2021_12_008 crossref_primary_10_3390_app15179832 crossref_primary_10_1016_j_euromechflu_2023_07_003 crossref_primary_10_1016_j_ijsrc_2021_02_003 crossref_primary_10_3390_w14203290
Cites_doi	10.1063/1.4863989 10.1016/j.proeng.2013.07.106 10.1017/S002211207200120X 10.1016/j.advwatres.2009.04.001 10.1007/BF00951252 10.1090/S0025-5718-1968-0242392-2 10.13031/2013.22686 10.1137/040604777 10.1016/j.powtec.2013.02.017 10.1137/0913035 10.1016/j.advwatres.2012.03.009 10.1017/S0022112007008567 10.1061/(ASCE)0893-1321(2009)22:1(24) 10.1016/0032-5910(89)80008-7 10.1016/j.jcp.2012.02.023 10.1007/s11431-010-4165-3
ContentType	Journal Article
Copyright	2018 Elsevier Ltd Copyright Elsevier BV Sep 15, 2018
Copyright_xml	– notice: 2018 Elsevier Ltd – notice: Copyright Elsevier BV Sep 15, 2018
DBID	AAYXX CITATION 7SC 7TB 7U5 8FD FR3 H8D JQ2 KR7 L7M L~C L~D
DOI	10.1016/j.compfluid.2018.03.019
DatabaseName	CrossRef Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Solid State and Superconductivity Abstracts Technology Research Database Engineering Research Database Aerospace Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional
DatabaseTitle	CrossRef Aerospace Database Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Solid State and Superconductivity Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional
DatabaseTitleList	Aerospace Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering
EISSN	1879-0747
EndPage	110
ExternalDocumentID	10_1016_j_compfluid_2018_03_019 S0045793018301178
GroupedDBID	--K --M -~X .DC .~1 0R~ 1B1 1~. 1~5 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAXUO ABAOU ABJNI ABMAC ABYKQ ACAZW ACDAQ ACGFS ACIWK ACRLP ADBBV ADEZE ADGUI ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AIEXJ AIGVJ AIKHN AITUG AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ARUGR AXJTR BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 FDB FIRID FNPLU FYGXN G-Q GBLVA IHE J1W JJJVA KOM LG9 LY7 M41 MHUIS MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. PQQKQ Q38 ROL RPZ SDF SDG SDP SES SPC SPCBC SPD SST SSW SSZ T5K TN5 XPP ZMT ~G- 29F 6TJ 9DU AAQXK AATTM AAXKI AAYWO AAYXX ABDPE ABEFU ABFNM ABWVN ABXDB ACKIV ACLOT ACNNM ACRPL ACVFH ADCNI ADIYS ADMUD ADNMO AEIPS AEUPX AFFNX AFJKZ AFPUW AGQPQ AI. AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP ASPBG AVWKF AZFZN CITATION EFKBS FEDTE FGOYB G-2 HLZ HVGLF HZ~ R2- SBC SET SEW T9H VH1 WUQ ~HD 7SC 7TB 7U5 8FD FR3 H8D JQ2 KR7 L7M L~C L~D
ID	FETCH-LOGICAL-c343t-47af9086d871ba3886d19a42e9e68a76ac4bdfddb68942fc4d01add43f3e55ef3
ISICitedReferencesCount	6
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000443788400014&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	0045-7930
IngestDate	Sat Oct 04 23:59:07 EDT 2025 Tue Nov 18 22:51:08 EST 2025 Sat Nov 29 07:28:45 EST 2025 Fri Feb 23 02:46:21 EST 2024
IsPeerReviewed	true
IsScholarly	true
Keywords	Bi-CGSTAB Sediment erosion Two-phase flow Domain decomposition MPI SOR
Language	English
LinkModel	OpenURL
MergedId	FETCHMERGED-LOGICAL-c343t-47af9086d871ba3886d19a42e9e68a76ac4bdfddb68942fc4d01add43f3e55ef3
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ORCID	0000-0001-8693-0310
PQID	2114220442
PQPubID	2045265
PageCount	8
ParticipantIDs	proquest_journals_2114220442 crossref_primary_10_1016_j_compfluid_2018_03_019 crossref_citationtrail_10_1016_j_compfluid_2018_03_019 elsevier_sciencedirect_doi_10_1016_j_compfluid_2018_03_019
PublicationCentury	2000
PublicationDate	2018-09-15
PublicationDateYYYYMMDD	2018-09-15
PublicationDate_xml	– month: 09 year: 2018 text: 2018-09-15 day: 15
PublicationDecade	2010
PublicationPlace	Amsterdam
PublicationPlace_xml	– name: Amsterdam
PublicationTitle	Computers & fluids
PublicationYear	2018
Publisher	Elsevier Ltd Elsevier BV
Publisher_xml	– name: Elsevier Ltd – name: Elsevier BV
References	Nguyen, Guillou, Chauchat, Barbry (bib0001) 2009; 32 Weidner, Petrie, Diplas, Nam, Gutierrez, Ellenberg (bib0006) 2012 Qian, Hu, Huai, Xue (bib0008) 2010; 53 Erhel (bib0011) 1998 Graham (bib0018) 1981; 37 Lundgren (bib0017) 1972; 51 Xie (bib0014) 2006; 27 Tanga, Liua, McDonoughb (bib0015) 2013; 61 Hanson, Hunt (bib0003) 2007; 23 Haider, Levenspiel (bib0020) 1989; 58 Drew, Lahey (bib0016) 1993 Nguyen, Levy, Bang, Guillou, Nguyen, Chauchat (bib0002) 2012; 48 Badr, Gauthier, Gondret (bib0023) 2014; 26 Kuang, LaMarche, Curtis, Yu (bib0007) 2013; 239 Guillou, Barbry, Nguyen (bib0009) 2000; 328 Hsu, Jenkins, Liu (bib0019) 2003; 108 Gibou, Min (bib0010) 2012; 231 Perng, Capart (bib0004) 2008; 595 Adams, Ortega (bib0012) 1982 Temam (bib0022) 1967; 26 van der Vorst (bib0024) 1992; 13 Chorin (bib0021) 1968; 22 Metzger, Immer, Donahue, Vu, Latta, Deyo-Svendsen (bib0005) 2009; 22 Zhang, Lan, Ye, Estade (bib0013) 2005 Hanson (10.1016/j.compfluid.2018.03.019_bib0003) 2007; 23 Chorin (10.1016/j.compfluid.2018.03.019_bib0021) 1968; 22 Erhel (10.1016/j.compfluid.2018.03.019_bib0011) 1998 Xie (10.1016/j.compfluid.2018.03.019_bib0014) 2006; 27 Guillou (10.1016/j.compfluid.2018.03.019_bib0009) 2000; 328 Lundgren (10.1016/j.compfluid.2018.03.019_sbref0017) 1972; 51 Badr (10.1016/j.compfluid.2018.03.019_bib0023) 2014; 26 Hsu (10.1016/j.compfluid.2018.03.019_bib0019) 2003; 108 Metzger (10.1016/j.compfluid.2018.03.019_bib0005) 2009; 22 Qian (10.1016/j.compfluid.2018.03.019_bib0008) 2010; 53 Weidner (10.1016/j.compfluid.2018.03.019_bib0006) 2012 Nguyen (10.1016/j.compfluid.2018.03.019_bib0001) 2009; 32 Perng (10.1016/j.compfluid.2018.03.019_bib0004) 2008; 595 Kuang (10.1016/j.compfluid.2018.03.019_bib0007) 2013; 239 Zhang (10.1016/j.compfluid.2018.03.019_bib0013) 2005 van der Vorst (10.1016/j.compfluid.2018.03.019_bib0024) 1992; 13 Haider (10.1016/j.compfluid.2018.03.019_bib0020) 1989; 58 Graham (10.1016/j.compfluid.2018.03.019_sbref0018) 1981; 37 Temam (10.1016/j.compfluid.2018.03.019_bib0022) 1967; 26 Tanga (10.1016/j.compfluid.2018.03.019_bib0015) 2013; 61 Nguyen (10.1016/j.compfluid.2018.03.019_bib0002) 2012; 48 Adams (10.1016/j.compfluid.2018.03.019_bib0012) 1982 Drew (10.1016/j.compfluid.2018.03.019_bib0016) 1993 Gibou (10.1016/j.compfluid.2018.03.019_bib0010) 2012; 231
References_xml	– volume: 61 start-page: 136 year: 2013 end-page: 143 ident: bib0015 article-title: Parallelization of linear iterative methods for solving the 3-d pressure Poisson equation using various programming languages publication-title: Procedia Eng – volume: 58 start-page: 63 year: 1989 end-page: 70 ident: bib0020 article-title: Drag coefficient and terminal velocity of spherical and non-spherical particles publication-title: Powder Technol – volume: 239 start-page: 319 year: 2013 end-page: 336 ident: bib0007 article-title: Discrete particle simulation of jet-induced cratering of a granular bed publication-title: Powder Technol – start-page: 53 year: 1982 end-page: 56 ident: bib0012 article-title: A multi-color SOR method for parallel computation publication-title: ICPP – volume: 27 start-page: 1513 year: 2006 end-page: 1533 ident: bib0014 article-title: A new block parallel SOR method and its analysis publication-title: SIAM J Scient Comput – year: 1998 ident: bib0011 article-title: A parallel GMRES version for general sparse matrices publication-title: Electron Trans Numer Anal – volume: 108 year: 2003 ident: bib0019 article-title: On two-phases sediment transport: dilute flow publication-title: J Geo Res – volume: 53 start-page: 3324 year: 2010 end-page: 3330 ident: bib0008 article-title: Numerical simulation of sediment erosion by submerged jets using an Eulerian model publication-title: Sci China, Technol Sci – volume: 231 start-page: 4531 year: 2012 end-page: 4536 ident: bib0010 article-title: On the performance of a simple parallel implementation of the ILU-PCG for the poisson equation on irregular domains publication-title: J Comput Phys – volume: 26 start-page: 367 year: 1967 end-page: 380 ident: bib0022 article-title: Sur l’approximation des équations de Navier-Stokes par la méthode des pas fractionnaires (II) publication-title: Arch Ration Mech Anal – volume: 595 start-page: 1 year: 2008 end-page: 43 ident: bib0004 article-title: Underwater sand bed erosion and internal jump formation by a travelling plane jets publication-title: J Fluid Mech – volume: 51 year: 1972 ident: bib0017 article-title: Slow flow through stationary random beds and suspensions of spheres publication-title: J Fluid Mech – year: 2005 ident: bib0013 article-title: Parallel SOR iterative algorithms and performance evaluation on a Linux cluster – volume: 37 year: 1981 ident: bib0018 article-title: On the viscosity of suspensions of solid spheres publication-title: Appl Sci Res – volume: 23 start-page: 305 year: 2007 end-page: 312 ident: bib0003 article-title: Lessons learned using laboratory JET method to measure soil erobibility of compacted soils publication-title: Appl Eng Agric – volume: 32 start-page: 1187 year: 2009 end-page: 1196 ident: bib0001 article-title: A two-phase numerical model for suspended-sediment transport in estuaries publication-title: Adv Water Resour – volume: 22 start-page: 24 year: 2009 end-page: 32 ident: bib0005 article-title: Jet-induced cratering of a granular surface with application to lunar spaceports publication-title: J Aerosp Eng – year: 2012 ident: bib0006 article-title: Numerical simulation of jet test and associated soil erosion publication-title: Proceedings of 6th international conference on scour erosion, ICSE6, Paris (France) – volume: 48 start-page: 102 year: 2012 end-page: 112 ident: bib0002 article-title: Simulation of dredged sediment releases into homogeneous water using a two-phase model publication-title: Adv Water Resour – volume: 328 start-page: 875 year: 2000 end-page: 881 ident: bib0009 article-title: Calcul numérique des ondes de surface par un méthode de projection et un maillage eulerien adaptatif publication-title: CR Acad Sci (ser II B) – start-page: 509 year: 1993 end-page: 566 ident: bib0016 article-title: Analytical modeling of multiphase flow publication-title: Particulate two-phase flow – volume: 26 start-page: 023302 year: 2014 ident: bib0023 article-title: Erosion threshold of a liquid immersed granular bed by an impinging plane liquid jet publication-title: Phys Fluids – volume: 22 start-page: 745 year: 1968 end-page: 762 ident: bib0021 article-title: Numerical solution of the Navier Stokes equations publication-title: Math Comp – volume: 13 start-page: 631 year: 1992 end-page: 644 ident: bib0024 article-title: Bi-CGSTAB: a fast and smoothly converging variant to bi-CG for the solution of nonsymmetric systems publication-title: SIAM J Sci Stat Comput – volume: 26 start-page: 023302 year: 2014 ident: 10.1016/j.compfluid.2018.03.019_bib0023 article-title: Erosion threshold of a liquid immersed granular bed by an impinging plane liquid jet publication-title: Phys Fluids doi: 10.1063/1.4863989 – volume: 328 start-page: 875 year: 2000 ident: 10.1016/j.compfluid.2018.03.019_bib0009 article-title: Calcul numérique des ondes de surface par un méthode de projection et un maillage eulerien adaptatif publication-title: CR Acad Sci (ser II B) – volume: 61 start-page: 136 year: 2013 ident: 10.1016/j.compfluid.2018.03.019_bib0015 article-title: Parallelization of linear iterative methods for solving the 3-d pressure Poisson equation using various programming languages publication-title: Procedia Eng doi: 10.1016/j.proeng.2013.07.106 – volume: 51 year: 1972 ident: 10.1016/j.compfluid.2018.03.019_sbref0017 article-title: Slow flow through stationary random beds and suspensions of spheres publication-title: J Fluid Mech doi: 10.1017/S002211207200120X – volume: 32 start-page: 1187 issue: 8 year: 2009 ident: 10.1016/j.compfluid.2018.03.019_bib0001 article-title: A two-phase numerical model for suspended-sediment transport in estuaries publication-title: Adv Water Resour doi: 10.1016/j.advwatres.2009.04.001 – volume: 37 year: 1981 ident: 10.1016/j.compfluid.2018.03.019_sbref0018 article-title: On the viscosity of suspensions of solid spheres publication-title: Appl Sci Res doi: 10.1007/BF00951252 – volume: 22 start-page: 745 year: 1968 ident: 10.1016/j.compfluid.2018.03.019_bib0021 article-title: Numerical solution of the Navier Stokes equations publication-title: Math Comp doi: 10.1090/S0025-5718-1968-0242392-2 – volume: 23 start-page: 305 issue: 3 year: 2007 ident: 10.1016/j.compfluid.2018.03.019_bib0003 article-title: Lessons learned using laboratory JET method to measure soil erobibility of compacted soils publication-title: Appl Eng Agric doi: 10.13031/2013.22686 – year: 1998 ident: 10.1016/j.compfluid.2018.03.019_bib0011 article-title: A parallel GMRES version for general sparse matrices publication-title: Electron Trans Numer Anal – volume: 27 start-page: 1513 issue: 5 year: 2006 ident: 10.1016/j.compfluid.2018.03.019_bib0014 article-title: A new block parallel SOR method and its analysis publication-title: SIAM J Scient Comput doi: 10.1137/040604777 – volume: 239 start-page: 319 year: 2013 ident: 10.1016/j.compfluid.2018.03.019_bib0007 article-title: Discrete particle simulation of jet-induced cratering of a granular bed publication-title: Powder Technol doi: 10.1016/j.powtec.2013.02.017 – volume: 13 start-page: 631 year: 1992 ident: 10.1016/j.compfluid.2018.03.019_bib0024 article-title: Bi-CGSTAB: a fast and smoothly converging variant to bi-CG for the solution of nonsymmetric systems publication-title: SIAM J Sci Stat Comput doi: 10.1137/0913035 – volume: 48 start-page: 102 year: 2012 ident: 10.1016/j.compfluid.2018.03.019_bib0002 article-title: Simulation of dredged sediment releases into homogeneous water using a two-phase model publication-title: Adv Water Resour doi: 10.1016/j.advwatres.2012.03.009 – volume: 108 issue: 14 year: 2003 ident: 10.1016/j.compfluid.2018.03.019_bib0019 article-title: On two-phases sediment transport: dilute flow publication-title: J Geo Res – volume: 595 start-page: 1 year: 2008 ident: 10.1016/j.compfluid.2018.03.019_bib0004 article-title: Underwater sand bed erosion and internal jump formation by a travelling plane jets publication-title: J Fluid Mech doi: 10.1017/S0022112007008567 – year: 2012 ident: 10.1016/j.compfluid.2018.03.019_bib0006 article-title: Numerical simulation of jet test and associated soil erosion – volume: 22 start-page: 24 year: 2009 ident: 10.1016/j.compfluid.2018.03.019_bib0005 article-title: Jet-induced cratering of a granular surface with application to lunar spaceports publication-title: J Aerosp Eng doi: 10.1061/(ASCE)0893-1321(2009)22:1(24) – start-page: 509 year: 1993 ident: 10.1016/j.compfluid.2018.03.019_bib0016 article-title: Analytical modeling of multiphase flow – volume: 58 start-page: 63 year: 1989 ident: 10.1016/j.compfluid.2018.03.019_bib0020 article-title: Drag coefficient and terminal velocity of spherical and non-spherical particles publication-title: Powder Technol doi: 10.1016/0032-5910(89)80008-7 – volume: 26 start-page: 367 year: 1967 ident: 10.1016/j.compfluid.2018.03.019_bib0022 article-title: Sur l’approximation des équations de Navier-Stokes par la méthode des pas fractionnaires (II) publication-title: Arch Ration Mech Anal – volume: 231 start-page: 4531 issue: 14 year: 2012 ident: 10.1016/j.compfluid.2018.03.019_bib0010 article-title: On the performance of a simple parallel implementation of the ILU-PCG for the poisson equation on irregular domains publication-title: J Comput Phys doi: 10.1016/j.jcp.2012.02.023 – start-page: 53 year: 1982 ident: 10.1016/j.compfluid.2018.03.019_bib0012 article-title: A multi-color SOR method for parallel computation publication-title: ICPP – year: 2005 ident: 10.1016/j.compfluid.2018.03.019_bib0013 – volume: 53 start-page: 3324 issue: 12 year: 2010 ident: 10.1016/j.compfluid.2018.03.019_bib0008 article-title: Numerical simulation of sediment erosion by submerged jets using an Eulerian model publication-title: Sci China, Technol Sci doi: 10.1007/s11431-010-4165-3
SSID	ssj0004324
Score	2.2453895
Snippet	•A parallel algorithm for a 2D x/z two-phase Eulerian approach is presented.•The numerical scheme is based on a projection technique and a finite volume... The importance of the two-phase flow model relies upon the correct simulation of specific problems in which the passive tracer model fails; however, the...
SourceID	proquest crossref elsevier
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	103
SubjectTerms	Algorithms Beds Bi-CGSTAB Coloring Computer simulation Distributed memory Domain decomposition Domain decomposition methods Erosion Hydraulic jets Mathematical models Message passing MPI Numerical methods Parallel processing Particle interactions Sediment erosion Sediment transport Sediments Simulation SOR Two dimensional flow Two dimensional models Two phase flow
Title	Parallel simulations for a 2D x/z two-phase flow fluid-solid particle model
URI	https://dx.doi.org/10.1016/j.compfluid.2018.03.019 https://www.proquest.com/docview/2114220442
Volume	173
WOSCitedRecordID	wos000443788400014&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1879-0747 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0004324 issn: 0045-7930 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwELZWWw5wQDxFoSAfuEUpie3Ng1thWwGFVQ9tteJi2YlDt9pmV_tol_56xq9sWkBLD1ysyJEtO_N5vrEzM0boLTAeEIesQuCSPGSpTEIZJySkpTYWSKGoScdw-jUdDLLhMD_qdCofC3M5Tus6W63y6X8VNdSBsHXo7B3E3XQKFfAMQocSxA7lPwn-SMz0_SjjYD66WHpPN-MrGZB-AFxzcB0sribh9AwILKjGkysolqMyhGGNymDqurR35LRtV38BxNzAxbRpDPKTs-A70K41Rb_trv81iIvgFFTIB3cs3W9eDX4sf1qVd7jrat3hQ2w8JWz4pVeoTGe8dL9WvEJNaUslxhFtsWtsnVh_U9z2DOFcf_epmYD2ustM_lmnUm-kyr5FYY1jofdZO-dNR1x3xCPKI50ddoukvTzroq29z_vDL-sIWkpsvm43nRuegH8c09_smFuMbsyU40foodtf4D0rxMeoo-on6EEr6-RTdOgRglsIwYAQLDDp49W7a9zgA2t84BY-sMcHNvh4hk4O9o8_fgrdnRphQRldwGoUVQ7b2BI2ylLQDJ7iXDCicpVkIk1EwWRZlaVMspyRqmBlFAMFMlpR1eupij5H3XpSqxcIC5lRWYhE5VKCGRgLmUiVsEhVRMREJtso8V-IFy7hvL73ZMw3SGkbRU3Dqc25srnJey8C7kxHaxJyANjmxjteaNwt5DknJsg8Yoy8vPtwXqH769Wyg7qL2VK9RveKy8VoPnvjwPcL0xOcrw
linkProvider	Elsevier
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Parallel+simulations+for+a+2D+x%2Fz+two-phase+flow+fluid-solid+particle+model&rft.jtitle=Computers+%26+fluids&rft.au=Uh+Zapata%2C+M.&rft.au=Pham+Van+Bang%2C+D.&rft.au=Nguyen%2C+K.D.&rft.date=2018-09-15&rft.issn=0045-7930&rft.volume=173&rft.spage=103&rft.epage=110&rft_id=info:doi/10.1016%2Fj.compfluid.2018.03.019&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_compfluid_2018_03_019
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0045-7930&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0045-7930&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0045-7930&client=summon