{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,29]],"date-time":"2023-09-29T20:13:12Z","timestamp":1696018392602},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2014,10,7]],"date-time":"2014-10-07T00:00:00Z","timestamp":1412640000000},"content-version":"tdm","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":[[2015,7]]},"DOI":"10.1007\/s10915-014-9928-8","type":"journal-article","created":{"date-parts":[[2014,10,6]],"date-time":"2014-10-06T06:37:02Z","timestamp":1412577422000},"page":"151-177","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A Fully Lagrangian Advection Scheme"],"prefix":"10.1007","volume":"64","author":[{"given":"John C.","family":"Bowman","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammad Ali","family":"Yassaei","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anup","family":"Basu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,10,7]]},"reference":[{"key":"9928_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00162-002-0074-9","volume":"16","author":"J Alam","year":"2002","unstructured":"Alam, J., Bowman, J.: Energy-conserving simulation of incompressible electro-osmotic and pressure-driven flow. Theoret. Comput. Fluid Dyn. 16, 1\u201318 (2002)","journal-title":"Theoret. Comput. Fluid Dyn."},{"key":"9928_CR2","volume-title":"Numerical Methods for Partial Differential Equations","author":"W Ames","year":"1977","unstructured":"Ames, W.: Numerical Methods for Partial Differential Equations. Academic Press, San Diego (1977)"},{"key":"9928_CR3","volume-title":"Computer Algorithms. Introduction to Design and Analysis","author":"S Basse","year":"2000","unstructured":"Basse, S., Gelder, A.V.: Computer Algorithms. Introduction to Design and Analysis. Addison-Wesley, Ontario (2000)"},{"key":"9928_CR4","first-page":"219","volume-title":"Recent Advances in Adaptive Computation","author":"Mentrup Behrens","year":"2005","unstructured":"Behrens, Mentrup: A conservative scheme for 2D and 3D adaptive semi-Lagrangian advection. In: Shi, Z.C., Chen, Z., Tang, T., Yu, D. (eds.) Recent Advances in Adaptive Computation, vol. 383, pp. 219\u2013234. American Mathematical Society, Providence (2005)"},{"key":"9928_CR5","doi-asserted-by":"crossref","unstructured":"Behrens, J.: A parallel adaptive finite-element semi-Lagrangian advection sheme for the shallow water equations. In: Modeling and Computation in Environmental Sciences. Proceedings of the First GAMM-Seminar at ICA Stuttgart, Notes on Numerical Fluid Mechanics, vol. 59, pp. 49\u201360. Vieweg, Braunschweig (1997)","DOI":"10.1007\/978-3-322-89565-3_5"},{"key":"9928_CR6","doi-asserted-by":"crossref","first-page":"364","DOI":"10.1017\/jfm.2013.308","volume":"729","author":"JC Bowman","year":"2013","unstructured":"Bowman, J.C.: Casimir cascades in two-dimensional turbulence. J. Fluid Mech. 729, 364\u2013376 (2013)","journal-title":"J. Fluid Mech."},{"key":"9928_CR7","unstructured":"Bowman, J.C., Hammerlindl, A.: Asymptote: a vector graphics language. TUGboat Commun. Users Group 29(2), 288\u2013294 (2008)"},{"key":"9928_CR8","volume-title":"Multigrid Methods","author":"JH Bramble","year":"1993","unstructured":"Bramble, J.H.: Multigrid Methods. Longman Scientific and Technical, London (1993)"},{"key":"9928_CR9","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1147\/sj.41.0025","volume":"4","author":"JE Bresenham","year":"1965","unstructured":"Bresenham, J.E.: Algorithm for computer control of a digital plotter. IBM Syst. J. 4, 25\u201330 (1965)","journal-title":"IBM Syst. J."},{"key":"9928_CR10","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1147\/rd.112.0215","volume":"11","author":"R Courant","year":"1967","unstructured":"Courant, R., Friedrichs, K., Lewy, H.: On the partial differential equations of mathematical physics. IBM J. Res. Dev. 11, 215\u2013234 (1967)","journal-title":"IBM J. Res. Dev."},{"issue":"17","key":"9928_CR11","doi-asserted-by":"crossref","first-page":"4079","DOI":"10.1021\/ac010217r","volume":"73","author":"HJ Crabtree","year":"2001","unstructured":"Crabtree, H.J., Cheong, E.C., Tilroe, D.A., Backhouse, C.J.: Microchip injection and separation anomalies due to pressure effects. Anal. Chem. 73(17), 4079\u20134086 (2001)","journal-title":"Anal. Chem."},{"issue":"1","key":"9928_CR12","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1016\/0021-9991(88)90165-9","volume":"77","author":"DG Dritschel","year":"1988","unstructured":"Dritschel, D.G.: Contour surgery: a topological reconnection scheme for extended integrations using contour dynamics. J. Comput. Phys. 77(1), 240\u2013266 (1988)","journal-title":"J. Comput. Phys."},{"issue":"540","key":"9928_CR13","doi-asserted-by":"crossref","first-page":"1097","DOI":"10.1002\/qj.49712354015","volume":"123","author":"DG Dritschel","year":"1997","unstructured":"Dritschel, D.G., Ambaum, M.H.: A contour-advective semi-lagrangian numerical algorithm for simulating fine-scale conservative dynamical fields. Q. J. R. Meteorol. Soc. 123(540), 1097\u20131130 (1997)","journal-title":"Q. J. R. Meteorol. Soc."},{"key":"9928_CR14","doi-asserted-by":"crossref","unstructured":"Eyink, G.L.: Exact results on stationary turbulence in 2D: consequences of vorticity. Phys. D. 91, 97\u2013142 (1996)","DOI":"10.1016\/0167-2789(95)00250-2"},{"key":"9928_CR15","doi-asserted-by":"crossref","unstructured":"Falkovich, G., Hanany, A.: Is 2D turbulence a conformal turbulence? Phys. Rev. Lett. 71, 3454\u20133457 (1993). doi: 10.1103\/PhysRevLett.71.3454","DOI":"10.1103\/PhysRevLett.71.3454"},{"key":"9928_CR16","doi-asserted-by":"crossref","first-page":"951","DOI":"10.1002\/fld.475","volume":"41","author":"L Fraccarollo","year":"2003","unstructured":"Fraccarollo, L., Capart, H., Zech, Y.: A Godunov method for the computation of erosional shallow water transients. Int. J. Numer. Methods Fluids 41, 951\u2013976 (2003)","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"9928_CR17","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1093\/mnras\/181.3.375","volume":"181","author":"RA Gingold","year":"1977","unstructured":"Gingold, R.A., Monaghan, J.J.: Smoothed particle hydrodynamics-theory and application to non-spherical stars. Month. Not. R. Astron. Soc. 181, 375\u2013389 (1977)","journal-title":"Month. Not. R. Astron. Soc."},{"key":"9928_CR18","first-page":"271","volume":"47","author":"S Godunov","year":"1959","unstructured":"Godunov, S.: A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics. Sbornik. Math. 47, 271\u2013290 (1959)","journal-title":"Sbornik. Math."},{"issue":"5","key":"9928_CR19","doi-asserted-by":"crossref","first-page":"837","DOI":"10.1016\/j.apnum.2006.07.022","volume":"57","author":"PA Gremaud","year":"2007","unstructured":"Gremaud, P.A., Kuster, C.M., Li, Z.: A study of numerical methods for the level set approach. Appl. Numer. Math. 57(5), 837\u2013846 (2007)","journal-title":"Appl. Numer. Math."},{"key":"9928_CR20","doi-asserted-by":"crossref","DOI":"10.1515\/9783110916706","volume-title":"Numerical \u201cParticle-in-Cell\u201d Methods: Theory and Applications","author":"Y Grigoryev","year":"2002","unstructured":"Grigoryev, Y., Vshivkov, V., Fedoruk, M.: Numerical \u201cParticle-in-Cell\u201d Methods: Theory and Applications. Brill Academic Publishers, Utrecht (2002)"},{"key":"9928_CR21","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02427-0","volume-title":"Multi-Grid Methods and Applications. Series in Computational Mathematics","author":"W Hackbusch","year":"1985","unstructured":"Hackbusch, W.: Multi-Grid Methods and Applications. Series in Computational Mathematics. Springer, New York (1985)"},{"key":"9928_CR22","unstructured":"Hammerlindl, A., Bowman, J.C., Prince, R.T.: Asymptote: a descriptive vector graphics language (2004). http:\/\/asymptote.sourceforge.net"},{"issue":"12","key":"9928_CR23","doi-asserted-by":"crossref","first-page":"4536","DOI":"10.1016\/j.jcp.2011.02.030","volume":"230","author":"CE Kees","year":"2011","unstructured":"Kees, C.E., Akkerman, I., Farthing, M.W., Bazilevs, Y.: A conservative level set method suitable for variable-order approximations and unstructured meshes. J. Comput. Phys. 230(12), 4536\u20134558 (2011)","journal-title":"J. Comput. Phys."},{"key":"9928_CR24","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1002\/cpa.3160130205","volume":"13","author":"P Lax","year":"1960","unstructured":"Lax, P., Wendroff, B.: System of conservation laws. Commun. Pure Appl. Math. 13, 217\u2013237 (1960)","journal-title":"Commun. Pure Appl. Math."},{"key":"9928_CR25","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1016\/0021-9991(79)90053-6","volume":"31","author":"J Leboeuf","year":"1979","unstructured":"Leboeuf, J., Tajima, T., Dawson, J.: Magnetohydrodynamics particle code for fluid simulation of plasmas. J. Comput. Phys. 31, 379\u2013408 (1979)","journal-title":"J. Comput. Phys."},{"issue":"8","key":"9928_CR26","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1175\/1520-0493(1995)123<2551:TDMCSL>2.0.CO;2","volume":"123","author":"LM Leslie","year":"1995","unstructured":"Leslie, L.M., Purser, R.J.: Three-dimensional mass-conserving semi-Lagrangian scheme employing forward trajectories. Mon. Weather Rev. 123(8), 25 (1995)","journal-title":"Mon. Weather Rev."},{"issue":"1","key":"9928_CR27","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/j.jcp.2005.07.006","volume":"212","author":"E Marchandise","year":"2006","unstructured":"Marchandise, E., Remacle, J.F., Chevaugeon, N.: A quadrature-free discontinuous galerkin method for the level set equation. J. Comput. Phys. 212(1), 338\u2013357 (2006)","journal-title":"J. Comput. Phys."},{"key":"9928_CR28","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1103\/RevModPhys.70.467","volume":"70","author":"PJ Morrison","year":"1998","unstructured":"Morrison, P.J.: Hamiltonian description of the ideal fluid. Rev. Mod. Phys. 70, 467\u2013521 (1998)","journal-title":"Rev. Mod. Phys."},{"issue":"1","key":"9928_CR29","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/0021-9991(88)90002-2","volume":"79","author":"S Osher","year":"1988","unstructured":"Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: algorithms based on Hamilton\u2013Jacobi formulations. J. Comput. Phys. 79(1), 12\u201349 (1988)","journal-title":"J. Comput. Phys."},{"key":"9928_CR30","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1016\/0550-3213(93)90656-A","volume":"396","author":"A Polyakov","year":"1993","unstructured":"Polyakov, A.: The theory of turbulence in two dimensions. Nucl. Phys. B 396, 367\u2013385 (1993). doi: 10.1016\/0550-3213(93)90656-A","journal-title":"Nucl. Phys. B"},{"key":"9928_CR31","volume-title":"Numerical Recipes, The Art of Scientific Computing","author":"WH Press","year":"1992","unstructured":"Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical Recipes, The Art of Scientific Computing, 2nd edn. Cambridge Univ. Press, Cambridge (1992)","edition":"2"},{"issue":"2","key":"9928_CR32","doi-asserted-by":"crossref","first-page":"1221","DOI":"10.1086\/529128","volume":"677","author":"DM Rothstein","year":"2008","unstructured":"Rothstein, D.M., Lovelace, R.V.: Advection of magnetic fields in accretion disks: not so difficult after all. Astrophys. J. 677(2), 1221 (2008)","journal-title":"Astrophys. J."},{"issue":"4","key":"9928_CR33","doi-asserted-by":"crossref","first-page":"1347","DOI":"10.4208\/cicp.120510.150511s","volume":"11","author":"TW Sheu","year":"2012","unstructured":"Sheu, T.W., Yu, C.: Numerical simulation of free surface by an area-preserving level set method. Commun. Comput. Phys. 11(4), 1347 (2012)","journal-title":"Commun. Comput. Phys."},{"key":"9928_CR34","doi-asserted-by":"crossref","unstructured":"Solenthaler, B., Pajarola, R.: Predictive-corrective incompressible sph. In: ACM Transactions on Graphics (TOG), vol. 28, p. 40. ACM (2009)","DOI":"10.1145\/1576246.1531346"},{"key":"9928_CR35","doi-asserted-by":"crossref","unstructured":"Wang, H., Skamarock, W.C., Feingold, G.: Evaluation of scalar advection schemes in the advanced research WRF model using large-eddy simulations of aerosol\u2013cloud interactions. Month. Weather Rev. 137(8) (2009)","DOI":"10.1175\/2009MWR2820.1"},{"key":"9928_CR36","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1002\/fld.197","volume":"37","author":"Y Wang","year":"2001","unstructured":"Wang, Y., Hutter, K.: Comparisons of numerical methods with respect to convectively-dominated problems. Int. J. Numer. Methods Fluids 37, 721\u2013745 (2001)","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"9928_CR37","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/0021-9991(84)90142-6","volume":"54","author":"P Woodward","year":"1984","unstructured":"Woodward, P., Colella, P.: The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54, 115\u2013173 (1984)","journal-title":"J. Comput. Phys."},{"key":"9928_CR38","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1016\/0021-9991(84)90142-6","volume":"54","author":"P Woodward","year":"1984","unstructured":"Woodward, P., Colella, P.: The piecewise parabolic method (PPM) for gas-dynamical simulations. J. Comput. Phys. 54, 174\u2013201 (1984)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"9928_CR39","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/s10955-006-9042-x","volume":"123","author":"Z Yong","year":"2006","unstructured":"Yong, Z., Benson, D.A., Meerschaert, M.M., Scheffler, H.P.: On using random walks to solve the space-fractional advection\u2013dispersion equations. J. Stat. Phys. 123(1), 89\u2013110 (2006)","journal-title":"J. Stat. Phys."},{"issue":"1","key":"9928_CR40","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1016\/0021-9991(79)90089-5","volume":"30","author":"NJ Zabusky","year":"1979","unstructured":"Zabusky, N.J., Hughes, M., Roberts, K.: Contour dynamics for the euler equations in two dimensions. J. Comput. Phys. 30(1), 96\u2013106 (1979)","journal-title":"J. Comput. Phys."},{"issue":"3","key":"9928_CR41","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1016\/0021-9991(79)90051-2","volume":"31","author":"ST Zalesak","year":"1979","unstructured":"Zalesak, S.T.: Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys. 31(3), 335\u2013362 (1979)","journal-title":"J. Comput. Phys."},{"issue":"3","key":"9928_CR42","doi-asserted-by":"crossref","first-page":"1760","DOI":"10.1137\/080730597","volume":"47","author":"P Zhuang","year":"2009","unstructured":"Zhuang, P., Liu, F., Anh, V., Turner, I.: Numerical methods for the variable-order fractional advection\u2013diffusion equation with a nonlinear source term. SIAM J. Numer. Anal. 47(3), 1760\u20131781 (2009)","journal-title":"SIAM J. Numer. Anal."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-014-9928-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-014-9928-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-014-9928-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,15]],"date-time":"2019-08-15T17:59:49Z","timestamp":1565891989000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-014-9928-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,7]]},"references-count":42,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,7]]}},"alternative-id":["9928"],"URL":"https:\/\/doi.org\/10.1007\/s10915-014-9928-8","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,10,7]]}}}