{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T06:11:13Z","timestamp":1773382273441,"version":"3.50.1"},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2017,3,29]],"date-time":"2017-03-29T00:00:00Z","timestamp":1490745600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Engineering with Computers"],"published-print":{"date-parts":[[2017,10]]},"DOI":"10.1007\/s00366-017-0513-2","type":"journal-article","created":{"date-parts":[[2017,3,28]],"date-time":"2017-03-28T23:44:30Z","timestamp":1490744670000},"page":"1007-1025","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Edge-based anisotropic mesh adaptation of unstructured meshes with applications to compressible flows"],"prefix":"10.1007","volume":"33","author":[{"given":"Renato V.","family":"Linn","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Armando M.","family":"Awruch","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,3,29]]},"reference":[{"issue":"48\u201349","key":"513_CR1","doi-asserted-by":"crossref","first-page":"5068","DOI":"10.1016\/j.cma.2004.11.025","volume":"194","author":"PJ Frey","year":"2005","unstructured":"Frey PJ, Alauzet F (2005) Anisotropic mesh adaptation for CFD computations. Comput Methods Appl Mech Eng 194(48\u201349):5068\u20135082","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"1","key":"513_CR2","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/0377-0427(91)90229-D","volume":"36","author":"E Stein","year":"1991","unstructured":"Stein E, Rust W (1991) Mesh adaptations for linear 2d finite-element discretizations in structural mechanics, especially in thin shell analysis. J Comput Appl Math 36(1):107\u2013129","journal-title":"J Comput Appl Math"},{"issue":"1\u20132","key":"513_CR3","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/S0377-0427(99)00156-9","volume":"109","author":"RI Klein","year":"1999","unstructured":"Klein RI (1999) Star formation with 3-D adaptive mesh refinement: the collapse and fragmentation of molecular clouds. J Comput Appl Math 109(1\u20132):123\u2013152","journal-title":"J Comput Appl Math"},{"issue":"6","key":"513_CR4","doi-asserted-by":"crossref","first-page":"1049","DOI":"10.1002\/nme.992","volume":"60","author":"PJ Frey","year":"2004","unstructured":"Frey PJ (2004) Generation and adaptation of computational surface meshes from discrete anatomical data. Int J Numer Methods Eng 60(6):1049\u20131074","journal-title":"Int J Numer Methods Eng"},{"issue":"4","key":"513_CR5","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1002\/(SICI)1097-0363(19970830)25:4<475::AID-FLD575>3.0.CO;2-6","volume":"25","author":"MJ Castro-Diaz","year":"1997","unstructured":"Castro-Diaz MJ, Hecht F, Mohammadi B, Pironneau O (1997) Anisotropic unstructured mesh adaptation for flow simulation. Int J Numer Methods Fluids 25(4):475\u2013491","journal-title":"Int J Numer Methods Fluids"},{"key":"513_CR6","unstructured":"Vallet MG (1992) Generation de maillages elements finis anisotropes et adaptatifs. Ph.D. Thesis, Universite Pierre et Marie Currie, Paris VI, France"},{"issue":"1","key":"513_CR7","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1137\/090754078","volume":"49","author":"A Loseille","year":"2011","unstructured":"Loseille A, Alauzet F (2011) Continuous mesh framework part I: well-posed continuous interpolation error. SIAM J Numer Anal 49(1):38\u201360","journal-title":"SIAM J Numer Anal"},{"issue":"3","key":"513_CR8","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1002\/nme.977","volume":"60","author":"CL Bottasso","year":"2004","unstructured":"Bottasso CL (2004) Anisotropic mesh adaption by metric-driven optimization. Int J Numer Methods Eng 60(3):597\u2013639","journal-title":"Int J Numer Methods Eng"},{"issue":"2","key":"513_CR9","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1007\/s00366-013-0340-z","volume":"30","author":"F Alauzet","year":"2014","unstructured":"Alauzet F (2014) A changing-topology moving mesh technique for large displacements. Eng Comput 30(2):175\u2013200","journal-title":"Eng Comput"},{"issue":"1\u20132","key":"513_CR10","first-page":"165","volume":"23","author":"C Alexandra","year":"2009","unstructured":"Alexandra C, Ducrot V (2009) Levelsets and anisotropic mesh adaptation. Discrete Contin Dyn Syst 23(1\u20132):165\u2013183","journal-title":"Discrete Contin Dyn Syst"},{"key":"513_CR11","doi-asserted-by":"crossref","unstructured":"Loseille\u00a0A, L\u00f6hner\u00a0R (2009) On 3D anisotropic local remeshing for surface, volume, and boundary layers. In: Proceedings in 18th international meshing roundtable, Springer-Verlag, Salt-Lake City, UT, USA, pp 611\u2013630","DOI":"10.1007\/978-3-642-04319-2_35"},{"issue":"4","key":"513_CR12","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1007\/s00366-014-0360-3","volume":"30","author":"D-L Quan","year":"2014","unstructured":"Quan D-L, Toulorge T, Bricteux G, Remacle J-F, Marchandise E (2014) Anisotropic adaptive nearly body-fitted meshes for CFD. Eng Comput 30(4):517\u2013533","journal-title":"Eng Comput"},{"issue":"2","key":"513_CR13","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1016\/0021-9991(92)90401-J","volume":"103","author":"J Peraire","year":"1992","unstructured":"Peraire J, Peiro J, Morgan K (1992) Adaptive remeshing for three dimensional compressible flow computation. J Comput Phys 103(2):269\u2013285","journal-title":"J Comput Phys"},{"issue":"1\u20132","key":"513_CR14","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/S0168-874X(96)00057-1","volume":"25","author":"H Borouchaki","year":"1997","unstructured":"Borouchaki H, George PL, Hecht F, Laug P, Saltel E (1997) Delaunay mesh generation governed by metric specificationspart I: algorithms. Finite Elements Anal Design 25(1\u20132):61\u201383","journal-title":"Finite Elements Anal Design"},{"key":"513_CR15","unstructured":"L\u00f6hner\u00a0R, Baum\u00a0JD (1990) Numerical simulation of shock interactions with complex geometry three-dimensional structures using a new adaptive h-refinement scheme on unstructured grids. In: Proceedings in 28th aerospace science meeting, AIAA-90-0700"},{"issue":"215","key":"513_CR16","doi-asserted-by":"crossref","first-page":"1183","DOI":"10.1090\/S0025-5718-96-00748-X","volume":"65","author":"A Liu","year":"1996","unstructured":"Liu A, Joe B (1996) Quality local refinements of tetrahedral meshed based on 8-subtetrahedron subdivision. Math Comput 65(215):1183\u20131200","journal-title":"Math Comput"},{"issue":"18","key":"513_CR17","doi-asserted-by":"crossref","first-page":"3313","DOI":"10.1002\/(SICI)1097-0207(19970930)40:18<3313::AID-NME214>3.0.CO;2-#","volume":"40","author":"MC Rivara","year":"1997","unstructured":"Rivara MC (1997) New longest-edge algorithms for the refinement and\/or improvement of unstructured triangulations. Int J Numer Methods Eng 40(18):3313\u20133324","journal-title":"Int J Numer Methods Eng"},{"issue":"4","key":"513_CR18","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1007\/BF02238487","volume":"55","author":"J Bey","year":"1995","unstructured":"Bey J (1995) Tetrahedral grid refinement. Computing 55(4):355\u2013378","journal-title":"Computing"},{"issue":"1","key":"513_CR19","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1137\/0916014","volume":"16","author":"JM Maubach","year":"1995","unstructured":"Maubach JM (1995) Local bisection refinement for n-simplicial grids generated by reflection. SIAM J Sci Comput 16(1):210\u2013227","journal-title":"SIAM J Sci Comput"},{"key":"513_CR20","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.1002\/(SICI)1097-0207(19991110)46:7<1101::AID-NME741>3.0.CO;2-E","volume":"46","author":"HL Cougny De","year":"1999","unstructured":"De Cougny HL, Shephard MS (1999) Parallel refinement and coarsening of tetrahedral meshes. Int J Numer Methods Eng 46:1101\u20131125","journal-title":"Int J Numer Methods Eng"},{"key":"513_CR21","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1002\/nme.681","volume":"57","author":"A Rassineux","year":"2003","unstructured":"Rassineux A, Breitkopf P, Villon P (2003) Simultaneous surface and tetrahedron mesh adaptation using mesh-free techniques. Int J Numer Methods Eng 57:371\u2013389","journal-title":"Int J Numer Methods Eng"},{"key":"513_CR22","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1002\/(SICI)1097-0363(20000330)32:6<725::AID-FLD935>3.0.CO;2-4","volume":"32","author":"WG Habashi","year":"2000","unstructured":"Habashi WG, Dompierre J, Bourgault Y, Ait-Ali-Yahia D, Fortin M, Vallet MG (2000) Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver independent CFD. part i: general principles (no. 6). J Numer Methods Fluids 32:725\u2013744","journal-title":"J Numer Methods Fluids"},{"key":"513_CR23","doi-asserted-by":"crossref","first-page":"3771","DOI":"10.1016\/S0045-7825(00)00294-2","volume":"190","author":"CC Pain","year":"2001","unstructured":"Pain CC, Umpleby AP, de Oliveira CRE (2001) Tetrahedral mesh optimization and adaptivity for steady-state and transient finite element calculations. Comput Methods Appl Mech Eng 190:3771\u20133796","journal-title":"Comput Methods Appl Mech Eng"},{"key":"513_CR24","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1002\/fld.674","volume":"46","author":"J Waltz","year":"2004","unstructured":"Waltz J (2004) Parallel adaptive refinement for unsteady flow calculations on 3D unstructured grids. Int J Numer Methods Fluids 46:37\u201357","journal-title":"Int J Numer Methods Fluids"},{"issue":"12","key":"513_CR25","doi-asserted-by":"crossref","first-page":"2889","DOI":"10.1002\/nme.1620281212","volume":"28","author":"M-C Rivara","year":"1989","unstructured":"Rivara M-C (1989) Selective refinement\/derefinement algorithms for sequences of nested triangulations. Int J Numer Methods Eng 28(12):2889\u20132906","journal-title":"Int J Numer Methods Eng"},{"issue":"3","key":"513_CR26","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1002\/nme.682","volume":"57","author":"C Ollivier-Gooch","year":"2003","unstructured":"Ollivier-Gooch C (2003) Coarsening unstructured meshes by edge contraction. Int J Numer Methods Eng 57(3):391\u2013414","journal-title":"Int J Numer Methods Eng"},{"issue":"9","key":"513_CR27","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1002\/fld.1037","volume":"49","author":"MAT Walter","year":"2005","unstructured":"Walter MAT, Abdu AAQ, da Silva LFF, Azevedo JL (2005) Evaluation of adaptive mesh refinement and coarsening for the computation of compressible flow on unstructured meshes. Int J Numer Methods Fluids 49(9):999\u20131014","journal-title":"Int J Numer Methods Fluids"},{"issue":"1\u20132","key":"513_CR28","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/S0168-874X(96)00039-X","volume":"25","author":"MT Jones","year":"1997","unstructured":"Jones MT, Plassmann PE (1997) Adaptive refinement of unstructured finite-element meshes. Finite Elements Anal Design 25(1\u20132):41\u201360","journal-title":"Finite Elements Anal Design"},{"issue":"2","key":"513_CR29","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1002\/nme.772","volume":"58","author":"X Li","year":"2003","unstructured":"Li X, Shephard MS, Beall MW (2003) Accounting for curved domains in mesh adaptation. Int J Numer Methods Eng 58(2):247\u2013276","journal-title":"Int J Numer Methods Eng"},{"issue":"21","key":"513_CR30","doi-asserted-by":"crossref","first-page":"3979","DOI":"10.1002\/(SICI)1097-0207(19971115)40:21<3979::AID-NME251>3.0.CO;2-9","volume":"40","author":"LA Freitag","year":"1997","unstructured":"Freitag LA, Ollivier-Gooch C (1997) Tetrahedral mesh improvement using swapping and smoothing. Int J Numer Methods Eng 40(21):3979\u20134002","journal-title":"Int J Numer Methods Eng"},{"issue":"4","key":"513_CR31","first-page":"1025","volume":"189","author":"A Tam","year":"2000","unstructured":"Tam A, Ait-Ali-Yahia D, Robichaud MP, Moore M, Kozel V, Habashi WG (2000) Anisotropic mesh adaptation for 3d flows on unstructured grids. Comput Methods Appl Mech Eng 189(4):1025\u20131230","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"3","key":"513_CR32","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1007\/s00366-011-0227-9","volume":"28","author":"SP Sastry","year":"2012","unstructured":"Sastry SP, Shontz SM (2012) Performance characterization of nonlinear optimization methods for mesh quality improvement. Eng Comput 28(3):269\u2013286","journal-title":"Eng Comput"},{"key":"513_CR33","unstructured":"Jones\u00a0W, Nielsen\u00a0E, Park\u00a0M (2006) Validation of 3d adjoint based error estimation and mesh adaptation for sonic boom prediction. In: Proceedings in 44th aerospace science meeting and exhibit, AIAA-2006-1150"},{"key":"513_CR34","unstructured":"Alauzet\u00a0F, Olivier\u00a0G (2011) Extension of metric-based anisotropic mesh adaptation to time-dependent problems involving moving geometries. In: Proceedings in 49th aerospace science meeting and exhibit, AIAA-2011-0896"},{"issue":"8\u20139","key":"513_CR35","doi-asserted-by":"crossref","first-page":"869","DOI":"10.1002\/fld.1650200812","volume":"20","author":"OC Zienkiewicz","year":"1995","unstructured":"Zienkiewicz OC, Codina R (1995) A general algorithm for compressible and incompressible flow-part I: the split, characteristic-based scheme. Int J Numer Methods Fluids 20(8\u20139):869\u2013885","journal-title":"Int J Numer Methods Fluids"},{"key":"513_CR36","volume-title":"The finite element method for fluid dynamics","author":"OC Zienkiewicz","year":"2005","unstructured":"Zienkiewicz OC, Taylor RL, Nithiarasu P (2005) The finite element method for fluid dynamics, 6th edn. Butterworth-Heinemann, Oxford","edition":"6"},{"issue":"8","key":"513_CR37","doi-asserted-by":"crossref","first-page":"987","DOI":"10.1002\/nme.2036","volume":"72","author":"MG Vallet","year":"2007","unstructured":"Vallet MG, Manole CM, Dompierre J, Dufour S, Guibault F (2007) Numerical comparison of some Hessian recovery techniques. Int J Numer Methods Eng 72(8):987\u20131007","journal-title":"Int J Numer Methods Eng"},{"key":"513_CR38","doi-asserted-by":"crossref","unstructured":"Loseille\u00a0A, Alauzet\u00a0F (2009) Optimal 3D highly anisotropic mesh adaptation based on the continuous mesh framework. In: Proceedings in 18th international meshing roundtable, Springer-Verlag, Salt-Lake City, UT, USA, pp 575\u2013594","DOI":"10.1007\/978-3-642-04319-2_33"},{"key":"513_CR39","volume-title":"A Scheme for edge-based adaptive tetrahedron subdivision. Mathematical visualization","author":"D Ruprecht","year":"1998","unstructured":"Ruprecht D, Muller H (1998) A Scheme for edge-based adaptive tetrahedron subdivision. Mathematical visualization. Springer, Berlin"},{"issue":"13","key":"513_CR40","doi-asserted-by":"crossref","first-page":"1552","DOI":"10.1002\/nme.2951","volume":"84","author":"F Alauzet","year":"2010","unstructured":"Alauzet F, Mehrenberger M (2010) P1-conservative solution interpolation on unstructured triangular meshes. Int J Numer Methods Eng 84(13):1552\u20131588","journal-title":"Int J Numer Methods Eng"},{"issue":"33\u201336","key":"513_CR41","doi-asserted-by":"crossref","first-page":"2632","DOI":"10.1016\/j.cma.2009.03.004","volume":"84","author":"PE Farrell","year":"2009","unstructured":"Farrell PE, Piggott MD, Pain CC, Gorman GJ, Wilson CR (2009) Conservative interpolation between unstructured meshes via supermesh construction. Comput Methods Appl Mech Eng 84(33\u201336):2632\u20132642","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"10","key":"513_CR42","doi-asserted-by":"crossref","first-page":"1514","DOI":"10.1002\/nme.1698","volume":"66","author":"P Nithiarasu","year":"2006","unstructured":"Nithiarasu P, Codina R, Zienkiewicz OC (2006) The characteristic-based split (CBS) scheme-a unified approach to fluid dynamics. Int J Numer Methods Eng 66(10):1514\u20131546","journal-title":"Int J Numer Methods Eng"},{"issue":"9","key":"513_CR43","doi-asserted-by":"crossref","first-page":"1325","DOI":"10.1002\/(SICI)1097-0363(19981215)28:9<1325::AID-FLD765>3.0.CO;2-1","volume":"28","author":"P Nithiarasu","year":"1998","unstructured":"Nithiarasu P, Zienkiewicz OC, Satya-Sai BVK, Morgan K, Vzquez M (1998) Shock capturing viscosities for the general fluid mechanics algorithm. Int J Numer Methods Fluids 28(9):1325\u20131353","journal-title":"Int J Numer Methods Fluids"},{"issue":"1","key":"513_CR44","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s00366-010-0176-8","volume":"27","author":"U Hetmaniuk","year":"2011","unstructured":"Hetmaniuk U, Knupp P (2011) A mesh optimization algorithm to decrease the maximum interpolation error of linear triangular finite elements. Eng Comput 27(1):3\u201315","journal-title":"Eng Comput"},{"key":"513_CR45","unstructured":"Yoshihara\u00a0H, Sacher\u00a0P (1985) Test cases for Inviscid flow field methods. AGARD-AR-221, Paris"},{"key":"513_CR46","unstructured":"Bailey\u00a0A, Hiatt\u00a0J (1971) Free-flight measurements of sphere drag at subsonic, transonic, supersonic, and hypersonic speeds for continuum, transition, and near free molecular flow conditions. Arnold Engng Development Ctr., Arnold Air Force Station, TN, Rep. AEDC-TR-70-291"},{"issue":"4","key":"513_CR47","doi-asserted-by":"crossref","first-page":"468","DOI":"10.2514\/8.11287","volume":"12","author":"A Charters","year":"1945","unstructured":"Charters A, Thomas R (1945) The aerodynamic performance of small spheres from subsonic to high supersonic velocities. J Aeronaut Sci 12(4):468\u2013476","journal-title":"J Aeronaut Sci"},{"issue":"10\u201312","key":"513_CR48","doi-asserted-by":"crossref","first-page":"1102","DOI":"10.1002\/fld.2335","volume":"64","author":"N Nazarov","year":"2010","unstructured":"Nazarov N, Hoffman J (2010) An adaptive finite element method for inviscid compressible flow. Int J Numer Methods Fluids 64(10\u201312):1102\u20131128","journal-title":"Int J Numer Methods Fluids"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00366-017-0513-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-017-0513-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-017-0513-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,9,16]],"date-time":"2017-09-16T02:20:26Z","timestamp":1505528426000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00366-017-0513-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3,29]]},"references-count":48,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2017,10]]}},"alternative-id":["513"],"URL":"https:\/\/doi.org\/10.1007\/s00366-017-0513-2","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"value":"0177-0667","type":"print"},{"value":"1435-5663","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,3,29]]}}}