{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,3]],"date-time":"2024-07-03T23:17:21Z","timestamp":1720048641270},"reference-count":29,"publisher":"Walter de Gruyter GmbH","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We propose a model for magnetohydrodynamic flows at high Reynolds and magnetic Reynolds numbers.\nThe system is written in the Els\u00e4sser variables so that the decoupling method of [C. Trenchea, Unconditional stability of a partitioned IMEX method for magnetohydrodynamic flows, <jats:italic>Appl. Math. Lett.<\/jats:italic>\n                  <jats:bold>27<\/jats:bold> (2014), 97\u2013100] can be used.\nThis decoupling method is only first-order accurate, so the proposed model aims at improving the temporal accuracy (from first to second order), as well as reducing the modeling error of the existing turbulence model.\nThis is done in the framework of the recently developed LES-C turbulence models [A.\u2009E. Labovsky, Approximate deconvolution with correction: A member of a new class of models for high Reynolds number flows, <jats:italic>SIAM J. Numer. Anal.<\/jats:italic>\n                  <jats:bold>58<\/jats:bold> (2020), 5, 3068\u20133090].\nWe show the model to be unconditionally stable and numerically verify its superiority over its most natural competitor.<\/jats:p>","DOI":"10.1515\/cmam-2022-0254","type":"journal-article","created":{"date-parts":[[2023,7,11]],"date-time":"2023-07-11T15:03:58Z","timestamp":1689087838000},"page":"1-20","source":"Crossref","is-referenced-by-count":0,"title":["Approximate Deconvolution with Correction \u2013 A High Fidelity Model for Magnetohydrodynamic Flows at High Reynolds and Magnetic Reynolds Numbers"],"prefix":"10.1515","volume":"24","author":[{"given":"Yasasya","family":"Batugedara","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences , Michigan Technological University , Houghton , MI 49931 , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander E.","family":"Labovsky","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences , Michigan Technological University , Houghton , MI 49931 , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2023,7,12]]},"reference":[{"key":"2024010712054186932_j_cmam-2022-0254_ref_001","doi-asserted-by":"crossref","unstructured":"M. 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Schwiebert,\nFluid-fluid interaction problems at high Reynolds numbers: Reducing the modeling error with LES-C,\nSIAM J. Numer. Anal. 61 (2023), no. 2, 707\u2013732.","DOI":"10.1137\/22M1494269"},{"key":"2024010712054186932_j_cmam-2022-0254_ref_005","doi-asserted-by":"crossref","unstructured":"Y. Batugedara, A. E. Labovsky and K. J. Schwiebert,\nHigher temporal accuracy for LES-C turbulence models,\nComput. Methods Appl. Mech. Engrg. 377 (2021), Paper No. 113696.","DOI":"10.1016\/j.cma.2021.113696"},{"key":"2024010712054186932_j_cmam-2022-0254_ref_006","doi-asserted-by":"crossref","unstructured":"R. Beekie, T. Buckmaster and V. Vicol,\nWeak solutions of ideal MHD which do not conserve magnetic helicity,\nAnn. PDE 6 (2020), no. 1, Paper No. 1.","DOI":"10.1007\/s40818-020-0076-1"},{"key":"2024010712054186932_j_cmam-2022-0254_ref_007","doi-asserted-by":"crossref","unstructured":"R. E. Caflisch, I. Klapper and G. 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