{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,6]],"date-time":"2025-10-06T17:56:16Z","timestamp":1759773376358,"version":"3.40.5"},"reference-count":43,"publisher":"Walter de Gruyter GmbH","issue":"4","funder":[{"DOI":"10.13039\/501100003032","name":"Association Nationale de la Recherche et de la Technologie","doi-asserted-by":"publisher","award":["2020\/1387"],"award-info":[{"award-number":["2020\/1387"]}],"id":[{"id":"10.13039\/501100003032","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,12,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Lagrangian stochastic methods are widely used to model turbulent flows.\nScarce consideration has, however, been devoted to the treatment of the near-wall region and to the formulation of a proper wall-boundary condition.\nWith respect to this issue, the main purpose of this paper is to present an in-depth analysis of such flows when relying on particle\/mesh formulations of the probability density function (PDF) model.\nThis is translated into three objectives.\nThe first objective is to assess the existing an-elastic wall-boundary condition and present new validation results.\nThe second objective is to analyse the impact of the interpolation of the mean fields at particle positions on their dynamics.\nThe third objective is to investigate the spatial error affecting covariance estimators when they are extracted on coarse volumes.\nAll these developments allow to ascertain that the key dynamical statistics of wall-bounded flows are properly captured even for coarse spatial resolutions.<\/jats:p>","DOI":"10.1515\/mcma-2023-2017","type":"journal-article","created":{"date-parts":[[2023,10,18]],"date-time":"2023-10-18T14:10:58Z","timestamp":1697638258000},"page":"275-305","source":"Crossref","is-referenced-by-count":2,"title":["Analysis of wall-modelled particle\/mesh PDF methods for turbulent parietal flows"],"prefix":"10.1515","volume":"29","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1172-5520","authenticated-orcid":false,"given":"Guilhem","family":"Balvet","sequence":"first","affiliation":[{"name":"EDF R&D , 6 Quai Watier, 78400 Chatou ; CEREA, \u00c9cole des Ponts, EDF R&D, \u00cele-de-France , France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6838-4464","authenticated-orcid":false,"given":"Jean-Pierre","family":"Minier","sequence":"additional","affiliation":[{"name":"EDF R&D , 6 Quai Watier, 78400 Chatou ; CEREA, \u00c9cole des Ponts, EDF R&D, \u00cele-de-France , France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4816-5600","authenticated-orcid":false,"given":"Yelva","family":"Roustan","sequence":"additional","affiliation":[{"name":"CEREA , \u00c9cole des Ponts , EDF R&D , \u00cele-de-France , France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3995-1503","authenticated-orcid":false,"given":"Martin","family":"Ferrand","sequence":"additional","affiliation":[{"name":"EDF R&D , 6 Quai Watier, 78400 Chatou ; CEREA, \u00c9cole des Ponts, EDF R&D, \u00cele-de-France , France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2023,10,19]]},"reference":[{"key":"2023112117530157268_j_mcma-2023-2017_ref_001","unstructured":"F. 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Ferrand,\nA time-step-robust algorithm to compute particle trajectories in 3-D unstructured meshes for Lagrangian stochastic methods,\nMonte Carlo Methods Appl. 29 (2023), no. 2, 95\u2013126.","DOI":"10.1515\/mcma-2023-2002"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_004","doi-asserted-by":"crossref","unstructured":"S. Chibbaro and J.-P. Minier,\nA note on the consistency of hybrid Eulerian\/Lagrangian approach to multiphase flows,\nInt. J. Multiphase Flow 37 (2011), no. 3, 293\u2013297.","DOI":"10.1016\/j.ijmultiphaseflow.2010.10.010"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_005","doi-asserted-by":"crossref","unstructured":"S. Chibbaro and J.-P. Minier,\nStochastic Methods in Fluids Mechanics,\nCISM Int. Centre Mech. Sci. Courses Lectures 548,\nSpringer, Vienna, 2014.","DOI":"10.1007\/978-3-7091-1622-7"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_006","doi-asserted-by":"crossref","unstructured":"T. D. Dreeben and S. B. Pope,\nProbability density function and reynolds\u2010stress modeling of near\u2010wall turbulent flows,\nPhys. Fluids 9 (1997), 154\u2013163.","DOI":"10.1063\/1.869157"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_007","doi-asserted-by":"crossref","unstructured":"T. D. Dreeben and S. B. Pope,\nWall-function treatment in pdf methods for turbulent flows,\nPhys. Fluids 9 (1997), no. 9, 2692\u20132703.","DOI":"10.1063\/1.869381"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_008","doi-asserted-by":"crossref","unstructured":"T. D. Dreeben and S. B. Pope,\nProbability density function\/Monte Carlo simulation of near-wall turbulent flows,\nJ. Fluid Mech. 357 (1998), 141\u2013166.","DOI":"10.1017\/S0022112097008008"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_009","doi-asserted-by":"crossref","unstructured":"C. W. 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C. \u00d6ttinger,\nStochastic Processes in Polymeric Fluids: Tools and Examples for Developing Simulation Algorithms,\nSpringer, Berlin, 1996.","DOI":"10.1007\/978-3-642-58290-5"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_025","doi-asserted-by":"crossref","unstructured":"E. Peirano, S. Chibbaro, J. Pozorski and J.-P. Minier,\nMean-field\/PDF numerical approach for polydispersed turbulent two-phase flows,\nProgr. Energy Combust. Sci. 32 (2006), no. 3, 315\u2013371.","DOI":"10.1016\/j.pecs.2005.07.002"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_026","doi-asserted-by":"crossref","unstructured":"S. B. Pope,\nThe relationship between the probability approach and particle models for reaction in homogeneous turbulence,\nCombust. Flame 35 (1979), 41\u201345.","DOI":"10.1016\/0010-2180(79)90005-1"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_027","doi-asserted-by":"crossref","unstructured":"S. B. Pope,\nA Lagrangian two-time probability density function equation for inhomogeneous turbulent flows,\nPhys. Fluids 26 (1983), no. 12, Paper No. 3448.","DOI":"10.1063\/1.864125"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_028","doi-asserted-by":"crossref","unstructured":"S. B. Pope,\nPdf methods for turbulent reactive flows,\nProgr. Energy Combust. Sci. 11 (1985), no. 2, 119\u2013192.","DOI":"10.1016\/0360-1285(85)90002-4"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_029","doi-asserted-by":"crossref","unstructured":"S. B. Pope,\nConsistency conditions for random-walk models of turbulent dispersion,\nPhys. Fluids 30 (1987), no. 8, Paper No. 2374.","DOI":"10.1063\/1.866127"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_030","doi-asserted-by":"crossref","unstructured":"S. B. Pope,\nA Monte Carlo method for the PDF equations of turbulent reactive flow,\nCombust. Sci. 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Analysis and Applications in Turbulence and Porous Media,\nWalter de Gruyter, Berlin, 2013.","DOI":"10.1515\/9783110296815"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_035","doi-asserted-by":"crossref","unstructured":"B. L. Sawford,\nGeneralized random forcing in random-walk turbulent dispersion models,\nPhys. Fluids 29 (1986), no. 11, Paper No. 3582.","DOI":"10.1063\/1.865784"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_036","doi-asserted-by":"crossref","unstructured":"C. G. Speziale, R. Abid and E. Clay Anderson,\nCritical evaluation of two-equation models for near-wall turbulence,\nAIAA Journal 30 (1992), no. 2, 324\u2013331.","DOI":"10.2514\/3.10922"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_037","doi-asserted-by":"crossref","unstructured":"S. Subramaniam and D. C. Haworth,\nA probability density function method for turbulent mixing and combustion on three-dimensional unstructured deforming meshes,\nInt. J. Eng. Res. 1 (2000), no. 2, 171\u2013190.","DOI":"10.1243\/1468087001545128"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_038","doi-asserted-by":"crossref","unstructured":"D. J. Thomson,\nCriteria for the selection of stochastic models of particle trajectories in turbulent flows,\nJ. Fluid Mech. 180 (1987), Paper No. 529.","DOI":"10.1017\/S0022112087001940"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_039","doi-asserted-by":"crossref","unstructured":"D. J. Thomson and J. D. Wilson,\nHistory of Lagrangian stochastic models for turbulent dispersion,\nLagrangian Modeling of the Atmosphere,\nGeophys. Monogr. 200,\nAmerican Geophysical Union, Washington (2012), 19\u201336.","DOI":"10.1029\/2012GM001238"},{"key":"2023112117530157268_j_mcma-2023-2017_ref_040","doi-asserted-by":"crossref","unstructured":"S. Viswanathan, H. Wang and S. B. Pope,\nNumerical implementation of mixing and molecular transport in LES\/PDF studies of turbulent reacting flows,\nJ. Comput. 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Phys. 152 (1999), no. 1, 192\u2013230.","DOI":"10.1006\/jcph.1999.6241"}],"container-title":["Monte Carlo Methods and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2023-2017\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2023-2017\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,21]],"date-time":"2023-11-21T17:53:41Z","timestamp":1700589221000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2023-2017\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,19]]},"references-count":43,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2023,8,1]]},"published-print":{"date-parts":[[2023,12,1]]}},"alternative-id":["10.1515\/mcma-2023-2017"],"URL":"https:\/\/doi.org\/10.1515\/mcma-2023-2017","relation":{},"ISSN":["0929-9629","1569-3961"],"issn-type":[{"type":"print","value":"0929-9629"},{"type":"electronic","value":"1569-3961"}],"subject":[],"published":{"date-parts":[[2023,10,19]]}}}