A boundary element method for the numerical investigation of near-wall fluid flow with vortex method simulation
When using discrete vortex methods to model incompressible fluid flow over a body of arbitrary geometry, it is necessary to construct an irrotational field to impose the impermeability condition at the surface of the object. In order to achieve this impermeability, a boundary integral equation based...
Uložené v:
| Vydané v: | Engineering analysis with boundary elements Ročník 28; číslo 11; s. 1405 - 1416 |
|---|---|
| Hlavný autor: | |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Oxford
Elsevier
01.11.2004
|
| Predmet: | |
| ISSN: | 0955-7997 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | When using discrete vortex methods to model incompressible fluid flow over a body of arbitrary geometry, it is necessary to construct an irrotational field to impose the impermeability condition at the surface of the object. In order to achieve this impermeability, a boundary integral equation based on the single- layer representation for the velocity potential is used. This three-dimensional exterior Neumann problem is specifically formulated in terms of a source/sink boundary integral equation. The solution to this integral equation is then coupled with an interpolation procedure which smoothes the transition between near-wall and interior regimes. We describe the numerical scheme embedding this strategy and discuss its accuracy and efficiency. For validation purposes, we consider the potential and vortical flow past a sphere, for which an analytical solution and the commonly used method of images are available. This is then followed by a second example of potential flow past a compliant wall including a check on leakage proving the numerical procedure to be effective. Finally, the newly developed algorithm is also tested against the method of images when conducting vortex flow calculations over a flat plate. Numerical results demonstrating the versatility of the method are presented when studying near- wall turbulence and show good agreement with experimental observations. |
|---|---|
| AbstractList | When using discrete vortex methods to model incompressible fluid flow over a body of arbitrary geometry, it is necessary to construct an irrotational field to impose the impermeability condition at the surface of the object. In order to achieve this impermeability, a boundary integral equation based on the single-layer representation for the velocity potential is used. This three-dimensional exterior Neumann problem is specifically formulated in terms of a source /sink boundary integral equation. The solution to this integral equation is then coupled with an interpolation procedure which smoothes the transition between near-wall and interior regimes. We describe the numerical scheme embedding this strategy and discuss its accuracy and efficiency. For validation purposes, we consider the potential and vortical flow past a sphere, for which an analytical solution and the commonly used method of images are available. This is then followed by a second example of potential flow past a compliant wall including a check on leakage proving the numerical procedure to be effective. Finally, the newly developed algorithm is also tested against the method of images when conducting vortex flow calculations over a flat plate. Numerical results demonstrating the versatility of the method are presented when studying near-wall turbulence and show good agreement with experimental observations. |
| Author | Khatir, Z. |
| Author_xml | – sequence: 1 givenname: Z. surname: Khatir fullname: Khatir, Z. |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=16151472$$DView record in Pascal Francis |
| BookMark | eNqNkUtr3DAUhbVIIY_mPyiLdOepJMuytCoh9AWBbtq1uGNfZTTIUirJmfbf156kpXSTwoUL4jtHl3POyUlMEQm54mzDGVdv9xuM9xBhm-Y4bgRjcrMO4yfkjJmua3pj-lNyXsp-eWwZU2ck3dAjDvknxYATxkonrLs0UpcyrTukcZ4w-wEC9fERS_X3UH2KNDkaEXJzgBCoC7NfJCEd6MHXHX1MueKP31bFT3M4ql6TVw5CwcvnfUG-fXj_9fZTc_fl4-fbm7tmaLWojRQd65QWGjVwByDQOKE0H3vXSae3TMiRjxKd5kqaDrSGQWyVdG0Lg9ma9oK8efJ9yOn7vFxtJ18GDAEiprlYoZUyRvD_AJlWrexfBLmRrNdCLuD1MwhlSc1liIMv9iH7aUnZcsU7LnuxcO-euCGnUjI6O_h6DKlm8MFyZtda7d7-Vatda7XrsPV284_Dn09e1P4CH-6zMg |
| CitedBy_id | crossref_primary_10_1080_00207160_2012_695354 |
| Cites_doi | 10.1016/0955-7997(93)90066-T 10.1006/jcph.1994.1193 10.1016/0307-904X(78)90052-5 10.1073/pnas.93.5.1881 10.1017/S0022112087000284 10.1137/0901001 10.1080/00207160108805124 10.1002/(SICI)1097-0363(19970115)24:1<81::AID-FLD480>3.0.CO;2-L 10.1098/rsta.1991.0070 10.1017/S0022112073002016 10.1017/S0022112087000272 10.1017/S0022112081001791 10.1137/0911024 10.1006/jcph.1997.5667 10.1017/S0022112067001740 |
| ContentType | Journal Article |
| Copyright | 2004 INIST-CNRS |
| Copyright_xml | – notice: 2004 INIST-CNRS |
| DBID | AAYXX CITATION IQODW F1W H96 L.G 7SC 7TB 8FD FR3 H8D JQ2 KR7 L7M L~C L~D |
| DOI | 10.1016/j.enganabound.2004.04.001 |
| DatabaseName | CrossRef Pascal-Francis ASFA: Aquatic Sciences and Fisheries Abstracts Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources Aquatic Science & Fisheries Abstracts (ASFA) Professional Computer and Information Systems Abstracts Mechanical & Transportation Engineering 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 Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources Aquatic Science & Fisheries Abstracts (ASFA) Professional ASFA: Aquatic Sciences and Fisheries Abstracts 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 Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Aerospace Database Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Physics |
| EndPage | 1416 |
| ExternalDocumentID | 16151472 10_1016_j_enganabound_2004_04_001 |
| GroupedDBID | --K --M -~X .~1 0R~ 1B1 1~. 1~5 29G 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9DU 9JN AAEDT AAEDW AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AATTM AAXKI AAXUO AAYFN AAYWO AAYXX ABAOU ABBOA ABEFU ABFNM ABJNI ABMAC ABWVN ABXDB ACDAQ ACGFS ACLOT ACNNM ACRLP ACRPL ACVFH ACZNC ADBBV ADCNI ADEZE ADGUI ADJOM ADMUD ADNMO ADTZH AEBSH AECPX AEIPS AEKER AENEX AEUPX AFJKZ AFPUW AFTJW AGHFR AGQPQ AGUBO AGYEJ AHHHB AHJVU AHZHX AI. AIALX AIEXJ AIGII AIGVJ AIIUN AIKHN AITUG AKBMS AKRWK AKYEP ALMA_UNASSIGNED_HOLDINGS AMRAJ ANKPU AOUOD APXCP ARUGR ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CITATION CS3 DU5 EBS EFJIC EFKBS EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA GBOLZ HVGLF HZ~ IHE J1W JJJVA KOM LY7 M41 MHUIS MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- ROL RPZ SDF SDG SDP SES SET SEW SPC SPCBC SST SSV SSW SSZ T5K TN5 UHS VH1 WUQ XPP ZMT ~G- ~HD AFXIZ AGCQF AGRNS BNPGV IQODW RIG F1W H96 L.G 7SC 7TB 8FD FR3 H8D JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c382t-425056828e8a1faa2e9f2681d7f54f8b024d1d4ef816495a88ac2b64f33ac9b93 |
| ISICitedReferencesCount | 1 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000224517900010&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0955-7997 |
| IngestDate | Sun Sep 28 00:28:42 EDT 2025 Thu Oct 02 05:23:55 EDT 2025 Thu Oct 02 08:21:39 EDT 2025 Mon Jul 21 09:15:26 EDT 2025 Sat Nov 29 03:47:49 EST 2025 Tue Nov 18 22:18:47 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 11 |
| Keywords | Irrotational flow Neumann problem 3D-boundary element method Boundary integral method Spheres Near-wall flow simulation Experimental study Surface states Leaks Image method Potential flow Vortex method Incompressible flow Integral equations Exterior problem Vortices Source sink boundary integral equation Modelling Vortex flow Incompressible fluid Boundary element method Flat plate Flow potential |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 CC BY 4.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c382t-425056828e8a1faa2e9f2681d7f54f8b024d1d4ef816495a88ac2b64f33ac9b93 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 ObjectType-Article-2 ObjectType-Feature-1 |
| PQID | 19407824 |
| PQPubID | 23500 |
| PageCount | 12 |
| ParticipantIDs | proquest_miscellaneous_28669921 proquest_miscellaneous_28086347 proquest_miscellaneous_19407824 pascalfrancis_primary_16151472 crossref_citationtrail_10_1016_j_enganabound_2004_04_001 crossref_primary_10_1016_j_enganabound_2004_04_001 |
| PublicationCentury | 2000 |
| PublicationDate | 2004-11-01 |
| PublicationDateYYYYMMDD | 2004-11-01 |
| PublicationDate_xml | – month: 11 year: 2004 text: 2004-11-01 day: 01 |
| PublicationDecade | 2000 |
| PublicationPlace | Oxford |
| PublicationPlace_xml | – name: Oxford |
| PublicationTitle | Engineering analysis with boundary elements |
| PublicationYear | 2004 |
| Publisher | Elsevier |
| Publisher_xml | – name: Elsevier |
| References | 10.1016/j.enganabound.2004.04.001_BIB8 Beskos (10.1016/j.enganabound.2004.04.001_BIB10) 1987; 3 Khatir (10.1016/j.enganabound.2004.04.001_BIB17) 2001 Khatir (10.1016/j.enganabound.2004.04.001_BIB19) 2003 Summers (10.1016/j.enganabound.2004.04.001_BIB6) 1996; 93 White (10.1016/j.enganabound.2004.04.001_BIB29) 1991 Khatir (10.1016/j.enganabound.2004.04.001_BIB20) 2003 Head (10.1016/j.enganabound.2004.04.001_BIB21) 1981; 107 Gharakhani (10.1016/j.enganabound.2004.04.001_BIB15) 1999 Acalar (10.1016/j.enganabound.2004.04.001_BIB22) 1987; 175 Chorin (10.1016/j.enganabound.2004.04.001_BIB25) 1973; 57 Khatir (10.1016/j.enganabound.2004.04.001_BIB1) 2001; 78 Kline (10.1016/j.enganabound.2004.04.001_BIB30) 1967; 30 Summers (10.1016/j.enganabound.2004.04.001_BIB5) 1996 Gharakhani (10.1016/j.enganabound.2004.04.001_BIB14) 1997; 138 Smith (10.1016/j.enganabound.2004.04.001_BIB24) 1991; 336 Hess (10.1016/j.enganabound.2004.04.001_BIB9) 1967 Liapis (10.1016/j.enganabound.2004.04.001_BIB26) 1993; 12 Khatir (10.1016/j.enganabound.2004.04.001_BIB18) 2000 Hall (10.1016/j.enganabound.2004.04.001_BIB12) 1994; 27 Chen (10.1016/j.enganabound.2004.04.001_BIB13) 1992 Zienkiewicz (10.1016/j.enganabound.2004.04.001_BIB28) 1989 Puckett (10.1016/j.enganabound.2004.04.001_BIB7) 1993 Chorin (10.1016/j.enganabound.2004.04.001_BIB2) 1980; 1 Gharakhani (10.1016/j.enganabound.2004.04.001_BIB16) 1997; 24 Brebbia (10.1016/j.enganabound.2004.04.001_BIB27) 1978; 2 Fishelov (10.1016/j.enganabound.2004.04.001_BIB4) 1994; 115 Becker (10.1016/j.enganabound.2004.04.001_BIB11) 1992 Acalar (10.1016/j.enganabound.2004.04.001_BIB23) 1987; 175 Fishelov (10.1016/j.enganabound.2004.04.001_BIB3) 1990; 11 |
| References_xml | – volume: 27 year: 1994 ident: 10.1016/j.enganabound.2004.04.001_BIB12 article-title: The boundary element method publication-title: Solid Mech Appl Ser – volume: 3 year: 1987 ident: 10.1016/j.enganabound.2004.04.001_BIB10 article-title: Boundary element methods in mechanics publication-title: Mech Math Meth Ser – volume: 12 start-page: 29 year: 1993 ident: 10.1016/j.enganabound.2004.04.001_BIB26 article-title: Boundary integral methods for evaluating the flow about smooth bodies publication-title: Eng Anal Bound Elem doi: 10.1016/0955-7997(93)90066-T – start-page: 8 year: 1967 ident: 10.1016/j.enganabound.2004.04.001_BIB9 article-title: Calculation of potential flow about arbitrary bodies publication-title: Prog Aeronaut Sci – volume: 115 start-page: 249 year: 1994 ident: 10.1016/j.enganabound.2004.04.001_BIB4 article-title: Simulation of three-dimensional turbulent flow in non-cartesian geometry publication-title: J Comput Phys doi: 10.1006/jcph.1994.1193 – volume: 2 start-page: 132 year: 1978 ident: 10.1016/j.enganabound.2004.04.001_BIB27 article-title: Formal equivalence of direct and indirect boundary element methods publication-title: Appl Math Model doi: 10.1016/0307-904X(78)90052-5 – start-page: 65 year: 1996 ident: 10.1016/j.enganabound.2004.04.001_BIB5 article-title: Hybrid vortex/magnet methods for flow over a solid boundary – year: 1992 ident: 10.1016/j.enganabound.2004.04.001_BIB11 – year: 1993 ident: 10.1016/j.enganabound.2004.04.001_BIB7 article-title: Vortex methods: an introduction and survey of selected research topics – volume: 93 start-page: 1881 year: 1996 ident: 10.1016/j.enganabound.2004.04.001_BIB6 article-title: Numerical vorticity creation based on impulse conservation publication-title: Proc Natl Acad Sci USA doi: 10.1073/pnas.93.5.1881 – start-page: 589 year: 2001 ident: 10.1016/j.enganabound.2004.04.001_BIB17 article-title: Three-dimensional vortex method for near-wall boundary-layer flow structures – volume: 175 start-page: 43 year: 1987 ident: 10.1016/j.enganabound.2004.04.001_BIB23 article-title: A study of hairpin vortices in a laminar boundary layer, Part 2 publication-title: J Fluid Mech doi: 10.1017/S0022112087000284 – volume: 1 start-page: 1 year: 1980 ident: 10.1016/j.enganabound.2004.04.001_BIB2 article-title: Vortex models and boundary layer instability publication-title: SIAM J Sci Stat Comput doi: 10.1137/0901001 – volume: 78 start-page: 471 issue: 3 year: 2001 ident: 10.1016/j.enganabound.2004.04.001_BIB1 article-title: An Algorithm for velocity calculation in closeproximity to body surfaces in panel methods publication-title: Int J Comput Math doi: 10.1080/00207160108805124 – year: 1989 ident: 10.1016/j.enganabound.2004.04.001_BIB28 – volume: 24 start-page: 81 year: 1997 ident: 10.1016/j.enganabound.2004.04.001_BIB16 article-title: BEM solution of the 3D internal Neumann problem and a regularized formulation for the potential velocity gradients publication-title: Int J Numer Meth Fluids doi: 10.1002/(SICI)1097-0363(19970115)24:1<81::AID-FLD480>3.0.CO;2-L – start-page: 329 year: 2003 ident: 10.1016/j.enganabound.2004.04.001_BIB20 article-title: Numerical investigations of near-wall turbulence structures – volume: 336 start-page: 131 year: 1991 ident: 10.1016/j.enganabound.2004.04.001_BIB24 article-title: On the dynamics of near wall turbulence publication-title: Philos Trans R Soc Lond Ser A doi: 10.1098/rsta.1991.0070 – start-page: 763 year: 2003 ident: 10.1016/j.enganabound.2004.04.001_BIB19 article-title: A vortex method simulation of near-wall turbulence structures – volume: 57 start-page: 785 year: 1973 ident: 10.1016/j.enganabound.2004.04.001_BIB25 article-title: Numerical study of slightly viscous flow publication-title: J Fluid Mech doi: 10.1017/S0022112073002016 – volume: 175 start-page: 1 year: 1987 ident: 10.1016/j.enganabound.2004.04.001_BIB22 article-title: A study of hairpin vortices in a laminar boundary layer, Part 1 publication-title: J Fluid Mech doi: 10.1017/S0022112087000272 – volume: 107 start-page: 297 year: 1981 ident: 10.1016/j.enganabound.2004.04.001_BIB21 article-title: New aspects of turbulent boundary layer structure publication-title: J Fluid Mech doi: 10.1017/S0022112081001791 – ident: 10.1016/j.enganabound.2004.04.001_BIB8 – year: 1991 ident: 10.1016/j.enganabound.2004.04.001_BIB29 – start-page: 161 year: 1999 ident: 10.1016/j.enganabound.2004.04.001_BIB15 article-title: 3D Vortex simulation of flow in an opposed-piston engine – volume: 11 start-page: 399 year: 1990 ident: 10.1016/j.enganabound.2004.04.001_BIB3 article-title: Vortex methods for slightly viscous three-dimensional flow publication-title: SIAM J Sci Stat Comput doi: 10.1137/0911024 – volume: 138 start-page: 75 year: 1997 ident: 10.1016/j.enganabound.2004.04.001_BIB14 article-title: Three-dimensional vortex simulation of time-dependent incompressible internal viscous flows publication-title: J Comput Phys doi: 10.1006/jcph.1997.5667 – start-page: 66 year: 2000 ident: 10.1016/j.enganabound.2004.04.001_BIB18 article-title: Three-dimensional vortex/boundary element method for the numerical study of near-wall boundary-layer flow structure publication-title: Abstracts of Fourth EUROMECH Fluid Mechanics Conference (EFMC2000), 19–23 November – volume: 30 start-page: 741 year: 1967 ident: 10.1016/j.enganabound.2004.04.001_BIB30 article-title: The structure of turbulent boundary layers publication-title: J Fluid Mech doi: 10.1017/S0022112067001740 – year: 1992 ident: 10.1016/j.enganabound.2004.04.001_BIB13 |
| SSID | ssj0013006 |
| Score | 1.665818 |
| Snippet | When using discrete vortex methods to model incompressible fluid flow over a body of arbitrary geometry, it is necessary to construct an irrotational field to... |
| SourceID | proquest pascalfrancis crossref |
| SourceType | Aggregation Database Index Database Enrichment Source |
| StartPage | 1405 |
| SubjectTerms | Boundary-integral methods Computational techniques Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) General theory Mathematical methods in physics Physics |
| Title | A boundary element method for the numerical investigation of near-wall fluid flow with vortex method simulation |
| URI | https://www.proquest.com/docview/19407824 https://www.proquest.com/docview/28086347 https://www.proquest.com/docview/28669921 |
| Volume | 28 |
| WOSCitedRecordID | wos000224517900010&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 issn: 0955-7997 databaseCode: AIEXJ dateStart: 19950101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: false ssIdentifier: ssj0013006 providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1baxQxFA7LVkSR4hVXbY3gW5myk2RmksdFWqpI8aHK4suQmUl0y5pZupfui__dk2SuLdUqCMuwDEkmO9-3yTk5N4TeyjCjNNZFoHSUB0xoEfAi5kFGcykKHVHlnGi-fExOT_l0Kj4NBj_rWJjNPDGGb7di8V-hhnsAtg2d_Qu4m0HhBnwH0OEKsMP1VsBPDjJXKslG2Xrf8KpMdONRaNbeTGPTbTRZNrzcaOBtBJfWXK3n6xl0mZeX_qx2Y71yt_VQy9mPqu5X72i_TW54IOtsJ6731Sm1JqTvMIpjzdfD3gkEq0LxukeJNu2l97OtV1XCu-wJO2skqHRRZ78NmQ-2vLaW-2OF80NlvsGU3TydPu9S01bP7-XPvrKvNd6GtSPbedoZytbfZKn92Oi_HZJEgg_RzuT90fRDa4Yau-KszQ-8i960DoI3zKsn4DxYyCXAqX2RlGv7vRNizh6i3Ur7wBPPmkdooMxjdL8D2xNUTnANFq7Awh50DPzBwB_c8Af3-INLjRv-YMcfbPmDLQOw5089VMufp-jz8dHZu5OgqsoR5JSTVcCc0AyKuuIy1FISJTSJQe1JdMQ0z0DoK8KCKc1BExeR5FzmJIuZplTmIhP0GRqa0qjnCEOTRNNizMLEKeqZZGIsJCFaEpCcixHi9atM8yplva2cMk__COkIkabrwudtuU2n_R5ebU8r97OEjNDrGsAUlmFrW5NGletlGgprECfs5haEj3lMWfK7FnEsBAlf_MvcX6J77X_zFRquLtZqD93JN6vZ8mK_IvYvDmjM7w |
| 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=A+boundary+element+method+for+the+numerical+investigation+of+near-wall+fluid+flow+with+vortex+method+simulation&rft.jtitle=Engineering+analysis+with+boundary+elements&rft.au=Khatir%2C+Z.&rft.date=2004-11-01&rft.issn=0955-7997&rft.volume=28&rft.issue=11&rft.spage=1405&rft.epage=1416&rft_id=info:doi/10.1016%2Fj.enganabound.2004.04.001&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_enganabound_2004_04_001 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0955-7997&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0955-7997&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0955-7997&client=summon |