{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T02:34:56Z","timestamp":1648866896263},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2020,3,1]],"date-time":"2020-03-01T00:00:00Z","timestamp":1583020800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,3,1]],"date-time":"2020-03-01T00:00:00Z","timestamp":1583020800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2020,3]]},"DOI":"10.1007\/s10915-020-01178-0","type":"journal-article","created":{"date-parts":[[2020,3,6]],"date-time":"2020-03-06T16:04:49Z","timestamp":1583510689000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Positive Definite Limiter for Advection Problems"],"prefix":"10.1007","volume":"82","author":[{"given":"James","family":"Kent","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,3,6]]},"reference":[{"key":"1178_CR1","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1016\/j.ocemod.2012.07.005","volume":"70","author":"A Chawla","year":"2013","unstructured":"Chawla, A., Spindler, D.M., Tolman, H.L.: Validation of a thirty year wave hindcast using the Climate Forecast System Reanalysis winds. Ocean Model. 70, 189\u2013206 (2013)","journal-title":"Ocean Model."},{"key":"1178_CR2","doi-asserted-by":"publisher","first-page":"27895","DOI":"10.3402\/tellusa.v67.27895","volume":"67","author":"D Holdaway","year":"2015","unstructured":"Holdaway, D., Kent, J.: Assessing the tangent linear behavior of common tracer transport schemes and their use in a linearized atmospheric general circulation model. Tellus A 67, 27895 (2015). https:\/\/doi.org\/10.3402\/tellusa.v67.27895","journal-title":"Tellus A"},{"key":"1178_CR3","doi-asserted-by":"publisher","first-page":"1297","DOI":"10.1002\/fld.1644","volume":"56","author":"D Holdaway","year":"2008","unstructured":"Holdaway, D., Thuburn, J., Wood, N.: On the relation between order of accuracy, convergence rate and spectral slope for linear numerical methods applied to multiscale problems. Int. J. Numer. Methods Fluids 56, 1297\u20131303 (2008)","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"1178_CR4","doi-asserted-by":"publisher","first-page":"906","DOI":"10.1002\/qj.986","volume":"138","author":"PH Lauritzen","year":"2012","unstructured":"Lauritzen, P.H., Thuburn, J.: Evaluating advection\/transport schemes using interrelated tracers, scatter plots and numericalmixing diagnostics. Q. J. R. Meteorol. Soc. 138, 906\u2013918 (2012)","journal-title":"Q. J. R. Meteorol. Soc."},{"issue":"2012","key":"1178_CR5","first-page":"887","volume":"5","author":"PH Lauritzen","year":"2014","unstructured":"Lauritzen, P.H., Ullrich, P.A., Jablonowski, C., Bosler, P.A., Calhoun, D., Conley, A.J., Enomoto, T., Dong, L., Dubey, S., Guba, O., Hansen, A.B., Kaas, E., Kent, J., Lamarque, J.F., Prather, M.J., Reinert, D., Shashkin, V.V., Skamarock, W.C., Sorensen, B., Taylor, M.A., Tolstykh, M.A.: A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes. Geosci. Model Dev. 5(2012), 887\u2013901 (2014)","journal-title":"Geosci. Model Dev."},{"key":"1178_CR6","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1002\/cpa.3160130205","volume":"13","author":"PD Lax","year":"1960","unstructured":"Lax, P.D., Wendroff, B.: Systems of conservation laws. Commun. Pure Appl. Math. 13, 217\u2013237 (1960)","journal-title":"Commun. Pure Appl. Math."},{"key":"1178_CR7","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1016\/0045-7825(91)90232-U","volume":"88","author":"BP Leonard","year":"1991","unstructured":"Leonard, B.P.: The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection. Comput. Methods Appl. Mech. Eng. 88, 17\u201374 (1991)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"1178_CR8","doi-asserted-by":"publisher","first-page":"2046","DOI":"10.1175\/1520-0493(1996)124<2046:MFFSLT>2.0.CO;2","volume":"124","author":"SJ Lin","year":"1996","unstructured":"Lin, S.J., Rood, R.B.: Multidimensional flux-form semi-Lagrangian transport schemes. Mon. Weather Rev. 124, 2046\u20132070 (1996)","journal-title":"Mon. Weather Rev."},{"key":"1178_CR9","doi-asserted-by":"publisher","first-page":"4038","DOI":"10.1175\/2007MWR2101.1","volume":"135","author":"H Miura","year":"2007","unstructured":"Miura, H.: An upwind-biased conservative advection scheme for spherical hexagonal-pentagonal grids. Mon. Weather Rev. 135, 4038\u20134044 (2007)","journal-title":"Mon. Weather Rev."},{"key":"1178_CR10","doi-asserted-by":"publisher","first-page":"8868","DOI":"10.1016\/j.jcp.2010.08.014","volume":"229","author":"RD Nair","year":"2010","unstructured":"Nair, R.D., Lauritzen, P.H.: A class of deformational flow test cases for linear transport problems on the sphere. J. Comput. Phys. 229, 8868\u20138887 (2010)","journal-title":"J. Comput. Phys."},{"key":"1178_CR11","doi-asserted-by":"publisher","first-page":"3065","DOI":"10.1016\/j.jcp.2009.12.007","volume":"229","author":"TD Ringler","year":"2010","unstructured":"Ringler, T.D., Thuburn, J., Klemp, J.B., Skamarock, W.C.: A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids. J. Comput. Phys. 229, 3065\u20133090 (2010)","journal-title":"J. Comput. Phys."},{"key":"1178_CR12","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1175\/1520-0493(1983)111<0479:ASPDAS>2.0.CO;2","volume":"111","author":"PK Smolarkiewicz","year":"1983","unstructured":"Smolarkiewicz, P.K.: A simple positive definite advection scheme with small implicit diffusion. Mon. Weather Rev. 111, 479\u2013486 (1983)","journal-title":"Mon. Weather Rev."},{"key":"1178_CR13","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1006\/jcph.1996.0006","volume":"23","author":"J Thuburn","year":"1996","unstructured":"Thuburn, J.: Multidimensional flux-limited advection schemes. J. Comput. Phys. 23, 74\u201383 (1996)","journal-title":"J. Comput. Phys."},{"key":"1178_CR14","doi-asserted-by":"publisher","first-page":"540","DOI":"10.1175\/1520-0493(1987)115<0540:TFTUAS>2.0.CO;2","volume":"115","author":"CJ Tremback","year":"1987","unstructured":"Tremback, C.J., Powell, J., Cotton, W.R., Pielke, R.A.: The forward-in-time upstream advection scheme: extension to higher orders. Mon. Weather Rev. 115, 540\u2013555 (1987)","journal-title":"Mon. Weather Rev."},{"key":"1178_CR15","doi-asserted-by":"publisher","first-page":"1297","DOI":"10.1002\/fld.1154","volume":"51","author":"M Zerroukat","year":"2005","unstructured":"Zerroukat, M., Wood, N., Staniforth, A.: The parabolic spline method (PSM) for conservative transport problems. Int. J. Numer. Methods Fluids 51, 1297\u20131318 (2005)","journal-title":"Int. J. Numer. Methods Fluids"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-020-01178-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-020-01178-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-020-01178-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,6]],"date-time":"2021-03-06T00:58:43Z","timestamp":1614992323000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-020-01178-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3]]},"references-count":15,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,3]]}},"alternative-id":["1178"],"URL":"https:\/\/doi.org\/10.1007\/s10915-020-01178-0","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,3]]},"assertion":[{"value":"10 July 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 January 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 February 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 March 2020","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"73"}}