{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,9]],"date-time":"2025-03-09T05:02:44Z","timestamp":1741496564968,"version":"3.38.0"},"reference-count":67,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2024,12,9]],"date-time":"2024-12-09T00:00:00Z","timestamp":1733702400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,12,9]],"date-time":"2024-12-09T00:00:00Z","timestamp":1733702400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2025,3]]},"DOI":"10.1007\/s40314-024-03015-8","type":"journal-article","created":{"date-parts":[[2024,12,9]],"date-time":"2024-12-09T13:08:26Z","timestamp":1733749706000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Three-step LES-C models for flows at high Reynolds numbers"],"prefix":"10.1007","volume":"44","author":[{"given":"Mustafa","family":"Aggul","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander E.","family":"Labovsky","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kyle","family":"Schwiebert","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,12,9]]},"reference":[{"issue":"3","key":"3015_CR1","doi-asserted-by":"crossref","first-page":"814","DOI":"10.1002\/num.22124","volume":"33","author":"M Aggul","year":"2017","unstructured":"Aggul M, Labovsky A (2017) A high accuracy minimally invasive regularization technique for Navier-Stokes equations at high Reynolds number. Num Methods Part Differ Equ 33(3):814\u2013839","journal-title":"Num Methods Part Differ Equ"},{"issue":"4","key":"3015_CR2","doi-asserted-by":"crossref","first-page":"2484","DOI":"10.1137\/17M1148219","volume":"56","author":"M Aggul","year":"2018","unstructured":"Aggul M, Connors J, Erkmen D, Labovsky A (2018) A defect-deferred correction method for fluid-fluid interaction. SIAM J Numer Anal 56(4):2484\u20132512","journal-title":"SIAM J Numer Anal"},{"key":"3015_CR3","first-page":"25","volume":"358","author":"M Aggul","year":"2019","unstructured":"Aggul M, Kaya S, Labovsky A (2019) Two approaches to creating a turbulence model with increased temporal accuracy. Appl Math Comput 358:25\u201336","journal-title":"Appl Math Comput"},{"key":"3015_CR4","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2022.115052","volume":"395","author":"M Aggul","year":"2022","unstructured":"Aggul M, Labovsky A, Schwiebert K (2022) NS-$$\\omega $$ model for fluid-fluid interaction problems at high Reynolds numbers. Comput Methods Appl Mech Eng 395:115052","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"2","key":"3015_CR5","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1137\/22M1494269","volume":"61","author":"M Aggul","year":"2023","unstructured":"Aggul M, Labovsky A, Onal E, Schwiebert K (2023) Fluid-fluid interaction problems at high Reynolds numbers: reducing the modeling error with LES-C. SIAM J Numer Anal 61(2):707\u2013732","journal-title":"SIAM J Numer Anal"},{"key":"3015_CR6","doi-asserted-by":"crossref","unstructured":"Aggul M, Eroglu F, Kaya S, Labovsky A (2019) A projection based variational multiscale method for atmosphere-ocean interaction, submitted to computer methods in applied mechanics and engineering. Available at arXiv:1910.10789","DOI":"10.1016\/j.cma.2020.112957"},{"key":"3015_CR7","doi-asserted-by":"crossref","unstructured":"Ascher UM, Ruuth SJ, Wetton BTR (1995) Implicit-explicit methods for time-dependent partial differential equations. SIAM J Num Anal 32(3)","DOI":"10.1137\/0732037"},{"key":"3015_CR8","doi-asserted-by":"crossref","unstructured":"Bangerth W, Davydov D, Heister T, Heltai L, Kanschat G, Kronbichler M, Maier M, Turcksin B, Wells D (2016) The deal. II Library, Version 8.4. J Num Math 25(3):135\u2013141 http:\/\/www.dealii.org","DOI":"10.1515\/jnma-2016-1045"},{"key":"3015_CR9","doi-asserted-by":"crossref","first-page":"2190","DOI":"10.1175\/1520-0493(2000)128<2190:NSOASI>2.0.CO;2","volume":"128","author":"J-W Bao","year":"2000","unstructured":"Bao J-W, Wilczak JM, Choi J-K, Kantha LH (2000) Numerical simulations of air-sea interaction under high wind conditions using a coupled model: a study of hurricane development. Monthly Weather Rev 128:2190\u20132210","journal-title":"Monthly Weather Rev"},{"key":"3015_CR10","doi-asserted-by":"publisher","DOI":"10.1515\/cmam-2022-0254","author":"Y Batugedara","year":"2023","unstructured":"Batugedara Y, Labovsky A (2023) Approximate Deconvolution with Correction\u2014a high fidelity model for Magnetohydrodynamic flows at high Reynolds and magnetic Reynolds numbers. Comput Methods Appl Math. https:\/\/doi.org\/10.1515\/cmam-2022-0254","journal-title":"Comput Methods Appl Math"},{"key":"3015_CR11","volume":"434","author":"Y Batugedara","year":"2022","unstructured":"Batugedara Y, Schwiebert K (2022) Note on the effect of grad-div stabilization on calculating drag and lift coefficients. Appl Math Comput 434:127434","journal-title":"Appl Math Comput"},{"key":"3015_CR12","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2021.113696","volume":"377","author":"Y Batugedara","year":"2021","unstructured":"Batugedara Y, Labovsky A, Schwiebert K (2021) Higher temporal accuracy for LES-C turbulence models. Comput Methods Appl Mech Eng 377:113696","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"A","key":"3015_CR13","volume":"478","author":"Y Batugedara","year":"2024","unstructured":"Batugedara Y, Labovsky A, Schwiebert K (2024) Validation of LES-C turbulence models. Comput Methods Appl Mech Eng 478(A):116458","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"6","key":"3015_CR14","doi-asserted-by":"crossref","first-page":"2368","DOI":"10.1137\/S0036142901385829","volume":"40","author":"C Bernardi","year":"2002","unstructured":"Bernardi C, Chacon-Rebello T, Gomez M, Lewandowski R, Murat F (2002) A model of two coupled turbulent fluids, Part II: numerical approximations by spectral discretization. SIAM J Num Anal 40(6):2368\u20132394","journal-title":"SIAM J Num Anal"},{"issue":"4","key":"3015_CR15","doi-asserted-by":"crossref","first-page":"1027","DOI":"10.3934\/dcdsb.2016.21.1027","volume":"21","author":"L Berselli","year":"2016","unstructured":"Berselli L, Kim T-Y, Rebholz L (2016) Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization. Discrete Continuous Dyn Syst Ser B 21(4):1027\u20131050","journal-title":"Discrete Continuous Dyn Syst Ser B"},{"key":"3015_CR16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/978-3-7091-7023-6","volume-title":"Defect correction methods. Theory and applications","author":"K B\u00f6hmer","year":"1984","unstructured":"B\u00f6hmer K, Hemker PW, Stetter HJ (1984) The defect correction approach. In: B\u00f6hmer K, Stetter HJ (eds) Defect correction methods. Theory and applications. Springer Verlag, pp 1\u201332"},{"issue":"2","key":"3015_CR17","doi-asserted-by":"crossref","first-page":"651","DOI":"10.1016\/S0021-9991(03)00251-1","volume":"189","author":"A Bourlioux","year":"2003","unstructured":"Bourlioux A, Layton AT, Minion ML (2003) High-order multi-implicit spectral deferred correction methods for problems of reactive flows. J Comput Phys 189(2):651\u2013675","journal-title":"J Comput Phys"},{"issue":"4","key":"3015_CR18","first-page":"419","volume":"16","author":"D Bresch","year":"2006","unstructured":"Bresch D, Koko J (2006) Operator-splitting and Lagrange multiplier domain decomposition methods for numerical simulation of two coupled Navier-Stokes fluids. Int J Appl Math Comput Sci 16(4):419\u2013429","journal-title":"Int J Appl Math Comput Sci"},{"key":"3015_CR19","unstructured":"Bryan FO, Kauffman BG, Large WG, Gent PR (1996) The NCAR CESM flux coupler, Tech. Report NCAR\/TN-424+STR, National Center for Atmosphere Research"},{"key":"3015_CR20","doi-asserted-by":"crossref","first-page":"766","DOI":"10.1016\/j.cma.2008.10.012","volume":"198","author":"E Burman","year":"2009","unstructured":"Burman E, Fern\u00e1ndez Miguel A (2009) Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility. Comput Methods Appl Mech Engrg 198:766\u2013784","journal-title":"Comput Methods Appl Mech Engrg"},{"issue":"3","key":"3015_CR21","doi-asserted-by":"crossref","first-page":"1297","DOI":"10.1137\/090773362","volume":"50","author":"J Connors","year":"2012","unstructured":"Connors J, Howell J, Layton W (2012) Decoupled time stepping methods for fluid-fluid interaction. SIAM J Num Anal 50(3):1297\u20131319","journal-title":"SIAM J Num Anal"},{"issue":"3","key":"3015_CR22","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1051\/m2an\/2014053","volume":"49","author":"VM Cuff","year":"2015","unstructured":"Cuff VM, Dunca AA, Manica CC, Rebholz LG (2015) The reduced order NS-$$\\alpha $$ model for incompressible flow: theory, numerical analysis and benchmark testing. Math Model Num Anal 49(3):641\u2013662","journal-title":"Math Model Num Anal"},{"issue":"6","key":"3015_CR23","doi-asserted-by":"crossref","first-page":"1890","DOI":"10.1137\/S0036141003436302","volume":"37","author":"A Dunca","year":"2006","unstructured":"Dunca A, Epshteyn Y (2006) On the Stolz-Adams deconvolution model for the large eddy simulation of turbulent flows. SIAM J Math Anal 37(6):1890\u20131902","journal-title":"SIAM J Math Anal"},{"issue":"2","key":"3015_CR24","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1023\/A:1022338906936","volume":"40","author":"A Dutt","year":"2000","unstructured":"Dutt A, Greengard L, Rokhlin V (2000) Spectral deferred correction methods for ordinary differential equations. BIT 40(2):241\u2013266","journal-title":"BIT"},{"key":"3015_CR25","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.jmaa.2017.01.018","volume":"450","author":"D Erkmen","year":"2017","unstructured":"Erkmen D, Labovsky A (2017) Defect-deferred correction method for the two-domain convection-dominated convection-diffusion problem. J Math Anal Appl 450:180\u2013196","journal-title":"J Math Anal Appl"},{"key":"3015_CR26","doi-asserted-by":"crossref","unstructured":"Erkmen D, Kaya S, Cibik A (2020) A second order decoupled penalty projection method based on deferred correction for MHD in Els\u00e4sser variable. J Comput Appl Math 371","DOI":"10.1016\/j.cam.2019.112694"},{"issue":"1","key":"3015_CR27","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1002\/num.20090","volume":"22","author":"VJ Ervin","year":"2006","unstructured":"Ervin VJ, Lee HK (2006) Defect correction method for viscoelastic fluid flows at high Weissenberg number. Num Methods Partial Differ Equ 22(1):145\u2013164","journal-title":"Num Methods Partial Differ Equ"},{"key":"3015_CR28","volume-title":"An introduction to the mathematical theory of the Navier-Stokes equations, Springer tracts in natural philosophy","author":"GP Galdi","year":"1994","unstructured":"Galdi GP (1994) An introduction to the mathematical theory of the Navier-Stokes equations, Springer tracts in natural philosophy, vol 1. Springer-Verlag, New York"},{"issue":"6","key":"3015_CR29","doi-asserted-by":"crossref","first-page":"1755","DOI":"10.1063\/1.865649","volume":"29","author":"M Germano","year":"1986","unstructured":"Germano M (1986) Differential filters for the large eddy numerical simulation of turbulent flows. Phys Fluids 29(6):1755\u20131757","journal-title":"Phys Fluids"},{"key":"3015_CR30","doi-asserted-by":"crossref","unstructured":"Girault V, Raviart PA (1979) Finite element approximation of the Navier-Stokes equations, Lecture notes in mathematics, no. 749, Springer-Verlag","DOI":"10.1007\/BFb0063447"},{"key":"3015_CR31","unstructured":"Gunzburger MD, Ladyzhenskaya OA, Peterson JS On the global unique solvability of initial-boundary value problems for the coupled modified Navier\u2013Stokes and Maxwell equations"},{"key":"3015_CR32","volume-title":"Finite element methods for viscous incompressible flows\u2014a guide to theory, practices, and algorithms","author":"MD Gunzburger","year":"1989","unstructured":"Gunzburger MD (1989) Finite element methods for viscous incompressible flows\u2014a guide to theory, practices, and algorithms. Academic Press"},{"key":"3015_CR33","doi-asserted-by":"crossref","unstructured":"Gunzburger M, Labovsky A (2012) High accuracy method for turbulent flow problems. Math Models Methods Appl Sci 22(6)","DOI":"10.1142\/S0218202512500054"},{"key":"3015_CR34","unstructured":"Hecht F, LeHyaric A, Pironneau O (2008) Freefem++ version 2.24-1. http:\/\/www.freefem.org\/ff++"},{"issue":"2","key":"3015_CR35","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1137\/0727022","volume":"27","author":"JG Heywood","year":"1990","unstructured":"Heywood JG, Rannacher R (1990) Finite-elements approximation of the nonstationary Navier-Stokes problem part IV: error analysis for second-order discretization. SIAM J Numer Anal 27(2):353\u2013384","journal-title":"SIAM J Numer Anal"},{"key":"3015_CR36","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/BF02547354","volume":"63","author":"L Jean","year":"1934","unstructured":"Jean L (1934) Sur le mouvement d\u2019un liquide visqueux emplissant l\u2019espace. Acta Math 63:193\u2013248","journal-title":"Acta Math"},{"issue":"7","key":"3015_CR37","doi-asserted-by":"crossref","first-page":"777","DOI":"10.1002\/fld.679","volume":"44","author":"V John","year":"2004","unstructured":"John V (2004) Reference values for drag and lift of a two-dimensional time-dependent flow around a cylinder. Num Methods Fluids 44(7):777\u2013788","journal-title":"Num Methods Fluids"},{"key":"3015_CR38","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1002\/fld.1074","volume":"50","author":"V John","year":"2006","unstructured":"John V, Liakos A (2006) Time dependent flow across a step: the slip with friction boundary condition. Int J Numer Meth Fluids 50:713\u2013731","journal-title":"Int J Numer Meth Fluids"},{"key":"3015_CR39","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1002\/fld.1461","volume":"55","author":"V John","year":"2007","unstructured":"John V, Roland M (2007) Simulations of the turbulent channel flow at $$Re_\\tau = 180$$ with projection-based finite element variational multiscale methods. Int J Numer Meth Fluids 55:407\u2013429","journal-title":"Int J Numer Meth Fluids"},{"key":"3015_CR40","first-page":"9","volume":"30","author":"AN Kolmogorov","year":"1941","unstructured":"Kolmogorov AN (1941) The local structure of turbulence in incompressible viscous fluid for very large Reynolds number. Dokl Akad Nauk SSSR 30:9\u201313","journal-title":"Dokl Akad Nauk SSSR"},{"issue":"1","key":"3015_CR41","first-page":"1","volume":"25","author":"A Labovsky","year":"2008","unstructured":"Labovsky A (2008) A defect correction method for the time-dependent Navier-Stokes equations. Num Methods Partial Differ Equ 25(1):1\u201325","journal-title":"Num Methods Partial Differ Equ"},{"issue":"2","key":"3015_CR42","doi-asserted-by":"crossref","first-page":"154","DOI":"10.2478\/cmam-2009-0009","volume":"9","author":"A Labovsky","year":"2009","unstructured":"Labovsky A (2009) A defect correction method for the evolutionary convection diffusion problem with increased time accuracy. Comput Methods Appl Math 9(2):154\u2013164","journal-title":"Comput Methods Appl Math"},{"issue":"1","key":"3015_CR43","doi-asserted-by":"crossref","first-page":"268","DOI":"10.1002\/num.21903","volume":"31","author":"A Labovsky","year":"2015","unstructured":"Labovsky A (2015) A defect correction approach to turbulence modeling. Num Methods Partial Differ Equ 31(1):268\u2013288","journal-title":"Num Methods Partial Differ Equ"},{"issue":"5","key":"3015_CR44","doi-asserted-by":"crossref","first-page":"3068","DOI":"10.1137\/20M1311600","volume":"58","author":"A Labovsky","year":"2020","unstructured":"Labovsky A (2020) Approximate Deconvolution with Correction\u2014a member of a new class of models for high Reynolds number flows. SIAM J Numer Anal 58(5):3068\u20133090","journal-title":"SIAM J Numer Anal"},{"issue":"12","key":"3015_CR45","doi-asserted-by":"crossref","first-page":"1362","DOI":"10.1080\/01630563.2010.528570","volume":"31","author":"A Labovsky","year":"2010","unstructured":"Labovsky A, Trenchea C (2010) A family of approximate deconvolution models for magnetohydrodynamic turbulence. Numer Funct Anal Optim 31(12):1362\u20131385","journal-title":"Numer Funct Anal Optim"},{"key":"3015_CR46","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1016\/j.jmaa.2010.10.070","volume":"377","author":"A Labovsky","year":"2011","unstructured":"Labovsky A, Trenchea C (2011) Large eddy simulation for turbulent magnetohydrodynamic flows. J Math Anal Appl 377:516\u2013533","journal-title":"J Math Anal Appl"},{"issue":"1","key":"3015_CR47","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1515\/cmam-2014-0023","volume":"15","author":"A Labovsky","year":"2015","unstructured":"Labovsky A, Trenchea C, Wilson N (2015) High accuracy method for magnetohydrodynamics system in Elsasser variables. Comput Methods Appl Math 15(1):97\u2013110","journal-title":"Comput Methods Appl Math"},{"issue":"1","key":"3015_CR48","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1142\/S0219530508001043","volume":"6","author":"W Layton","year":"2008","unstructured":"Layton W, Lewandowski R (2008) A high accuracy Leray-deconvolution model of turbulence and its limiting behavior. Anal Appl 6(1):23\u201349","journal-title":"Anal Appl"},{"key":"3015_CR49","series-title":"Lecture Notes in Mathematics","volume-title":"Approximate deconvolution models of turbulence: analysis, phenomenology and numerical analysis","author":"W Layton","year":"2016","unstructured":"Layton W, Rebholz L (2016) Approximate deconvolution models of turbulence: analysis, phenomenology and numerical analysis, vol 2042. Lecture Notes in Mathematics. Springer-Verlag, Berlin"},{"issue":"1","key":"3015_CR50","first-page":"1","volume":"129","author":"W Layton","year":"2002","unstructured":"Layton W, Lee HK, Peterson J (2002) A defect-correction method for the incompressible Navier-Stokes equations. Appl Math Comput 129(1):1\u201319","journal-title":"Appl Math Comput"},{"issue":"2","key":"3015_CR51","first-page":"555","volume":"24","author":"W Layton","year":"2008","unstructured":"Layton W, Manica C, Neda M, Rebholz L (2008) Numerical analysis of a high accuracy Leray-deconvolution model of turbulence. NMPDE 24(2):555\u2013582","journal-title":"NMPDE"},{"key":"3015_CR52","doi-asserted-by":"crossref","first-page":"2066","DOI":"10.1016\/j.procs.2015.05.473","volume":"51","author":"F Lemarie","year":"2015","unstructured":"Lemarie F, Blayo E, Debreu L (2015) Analysis of ocean-atmosphere coupling algorithms: consistency and stability. Procedia Comput Sci 51:2066\u20132075","journal-title":"Procedia Comput Sci"},{"key":"3015_CR53","first-page":"5","volume":"1","author":"J-L Lions","year":"1993","unstructured":"Lions J-L, Temam R, Wang S (1993) Models of the coupled atmosphere and ocean (CAO I). Comput Mech Adv 1:5\u201354","journal-title":"Comput Mech Adv"},{"key":"3015_CR54","first-page":"55","volume":"1","author":"J-L Lions","year":"1993","unstructured":"Lions J-L, Temam R, Wang S (1993) Models of the coupled atmosphere and ocean (CAO II). Comput Mech Adv 1:55\u2013119","journal-title":"Comput Mech Adv"},{"issue":"2","key":"3015_CR55","doi-asserted-by":"crossref","first-page":"1995","DOI":"10.1016\/S1540-7489(02)80243-7","volume":"29","author":"J Mathew","year":"2002","unstructured":"Mathew J (2002) Large eddy simulation of a premixed flame with approximate deconvolution modeling. Proc Combust Inst 29(2):1995\u20132000","journal-title":"Proc Combust Inst"},{"key":"3015_CR56","doi-asserted-by":"crossref","first-page":"471","DOI":"10.4310\/CMS.2003.v1.n3.a6","volume":"1","author":"ML Minion","year":"2003","unstructured":"Minion ML (2003) Semi-implicit spectral deferred correction methods for ordinary differential equations. Comm Math Sci 1:471\u2013500","journal-title":"Comm Math Sci"},{"issue":"3","key":"3015_CR57","doi-asserted-by":"crossref","first-page":"471","DOI":"10.4310\/CMS.2003.v1.n3.a6","volume":"1","author":"ML Minion","year":"2003","unstructured":"Minion ML (2003) Semi-implicit projection methods for ordinary differential equations. Comm Math Sci 1(3):471\u2013500","journal-title":"Comm Math Sci"},{"issue":"3\u20134","key":"3015_CR58","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1016\/j.apnum.2003.11.005","volume":"48","author":"ML Minion","year":"2004","unstructured":"Minion ML (2004) Semi-implicit projection methods for incompressible flow based on spectral deferred corrections. Appl Numer Math 48(3\u20134):369\u2013387","journal-title":"Appl Numer Math"},{"key":"3015_CR59","doi-asserted-by":"crossref","first-page":"943","DOI":"10.1063\/1.869966","volume":"11","author":"DR Moser","year":"1999","unstructured":"Moser DR, Kim J, Mansour NN (1999) Direct numerical simulation of turbulent channel flow up to $$Re_\\tau $$ = 590. Phys Fluids 11:943\u2013945","journal-title":"Phys Fluids"},{"key":"3015_CR60","doi-asserted-by":"crossref","first-page":"2081","DOI":"10.1175\/JPO3104.1","volume":"37","author":"N Perlin","year":"2007","unstructured":"Perlin N, Skyllingstad ED, Samelson RM, Barbour PL (2007) Numerical simulation of air-sea coupling during coastal upwelling. J Phys Oceanogr 37:2081\u20132093","journal-title":"J Phys Oceanogr"},{"key":"3015_CR61","doi-asserted-by":"crossref","unstructured":"Sch\u00e4fer M, Turek S (1996) The benchmark problem \"flow around a cylinder.\u201d In: Hirschel EH (ed) Flow simulation with high-performance computers II Notes on Numerical Fluid Mechanics, vol 52. Vieweg, Braunschweig, pp 547\u2013566","DOI":"10.1007\/978-3-322-89849-4_39"},{"issue":"7","key":"3015_CR62","doi-asserted-by":"crossref","first-page":"1699","DOI":"10.1063\/1.869867","volume":"11","author":"S Stolz","year":"1999","unstructured":"Stolz S, Adams NA (1999) An approximate deconvolution procedure for large-eddy simulation. Phys Fluids 11(7):1699","journal-title":"Phys Fluids"},{"key":"3015_CR63","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.aml.2013.06.017","volume":"27","author":"C Trenchea","year":"2014","unstructured":"Trenchea C (2014) Unconditional stability of a partitioned IMEX method for magnetohydrodynamic flows. Appl Math Lett 27:97\u2013100","journal-title":"Appl Math Lett"},{"key":"3015_CR64","unstructured":"Volker J (2016) Finite element methods for incompressible flow problems. Springer Series in Computational Mathematics. Springer"},{"key":"3015_CR65","doi-asserted-by":"crossref","first-page":"514","DOI":"10.1016\/j.cma.2009.10.005","volume":"199","author":"J Volker","year":"2010","unstructured":"Volker J, Joachim R (2010) Adaptive time step control for the incompressible Navier-Stokes equations. Comput Methods Appl Mech Engrg 199:514\u2013524","journal-title":"Comput Methods Appl Mech Engrg"},{"key":"3015_CR66","volume-title":"Turbulence modeling for CFD","author":"DC Wilcox","year":"1998","unstructured":"Wilcox DC (1998) Turbulence modeling for CFD, 2nd edn. DCW Industries, La Canada","edition":"2"},{"issue":"1","key":"3015_CR67","doi-asserted-by":"crossref","first-page":"512","DOI":"10.1016\/j.cma.2016.10.005","volume":"313","author":"X Xie","year":"2017","unstructured":"Xie X, Wells D, Wang Z, Iliescu T (2017) Approximate deconvolution reduced order modeling. Comput Methods Appl Mech Eng 313(1):512\u2013534","journal-title":"Comput Methods Appl Mech Eng"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-024-03015-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-024-03015-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-024-03015-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,8]],"date-time":"2025-03-08T07:58:08Z","timestamp":1741420688000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-024-03015-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,9]]},"references-count":67,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,3]]}},"alternative-id":["3015"],"URL":"https:\/\/doi.org\/10.1007\/s40314-024-03015-8","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"type":"print","value":"2238-3603"},{"type":"electronic","value":"1807-0302"}],"subject":[],"published":{"date-parts":[[2024,12,9]]},"assertion":[{"value":"4 June 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 August 2024","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 November 2024","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 December 2024","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have no conflict of interest to declare that are relevant to the content of this article.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"72"}}