Numerical simulation of three-dimensional free surface flow in isopycnal co-ordinates
1997; Wiley; Volume: 25; Issue: 6 Linguagem: Inglês
10.1002/(sici)1097-0363(19970930)25
ISSN1097-0363
Autores Tópico(s)Coastal and Marine Dynamics
ResumoInternational Journal for Numerical Methods in FluidsVolume 25, Issue 6 p. 645-658 Research Article Numerical simulation of three-dimensional free surface flow in isopycnal co-ordinates Vincenzo Casulli, Corresponding Author Vincenzo Casulli Department of Civil and Environmental Engineering, University of Trento, I-38050 Mesiano di Povo (Trento), Italy and CIRM-ITC, I-38050 Povo (Trento), ItalyDepartment of Civil and Environmental Engineering, University of Trento, I-38050 Mesiano di Povo (Trento), Italy===Search for more papers by this author Vincenzo Casulli, Corresponding Author Vincenzo Casulli Department of Civil and Environmental Engineering, University of Trento, I-38050 Mesiano di Povo (Trento), Italy and CIRM-ITC, I-38050 Povo (Trento), ItalyDepartment of Civil and Environmental Engineering, University of Trento, I-38050 Mesiano di Povo (Trento), Italy===Search for more papers by this author First published: 04 December 1998 https://doi.org/10.1002/(SICI)1097-0363(19970930)25:6 3.0.CO;2-LCitations: 14AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract In this paper a semi-implicit method for three-dimensional circulation in isopycnal co-ordinates is derived and discussed. It is assumed that the flow is hydrostatic and characterized by isopycnal surfaces which can be represented by explicit, single-valued functions. The hydrostatic pressure is determined by using the conjugate gradient method to solve a block pentadiagonal linear system. The horizontal velocities are determined by solving a large set of tridiagonal systems. The stability of the resulting algorithm is shown to be independent of the surface and internal gravity wave speeds. © 1997 John Wiley & Sons, Ltd. References 1 V. Casulli, 'Semi-implicit finite difference methods for the two-dimensional shallow water equations', J. Comput. Phys., 86, 56–74 (1990). 2 V. Casulli and R. T. Cheng, 'Semi-implicit finite difference methods for three-dimensional shallow water flow', Int. j. numer. methods fluids, 15, 629–648 (1992). 3 R. T. Cheng, V. Casulli and J. W. Gartner, 'Tidal, residual, intertidal mudflat (TRIM) model and its applications to San Francisco Bay, California', Estuar., Coastal Shelf Sci, 36, 235–280 (1993). 4 V. Casulli and E. Cattani, 'Stability, accuracy and efficiency of a semi-implicit method for three-dimensional shallow water flow', Comput. Math. Appl., 27, 99–112 (1994). 5 B. Cushman-Roisin, Introduction to Geophysical Fluid Dynamics, Prentice-Hall, Englewoods Cliffs, NJ, (1994). 6 R. Bleck and D. Boudra, 'Wind-driven spin-up in eddy-resolving ocean models formulated in isopycnic and isobaric coordinates', J. Geophys. Res. (Oceans), 91, 7611–7621 (1986). 7 J. M. de Kok, Numerical Modeling of Transport Processes in Coastal Waters, Ministry of Transport, Public Works and Water Management, RIKZ, The Hague, NL, (1994). 8 S.-K. Liu and J. J. Leendertse, ' Multidimensional numerical modeling of estuaries and coastal seas', in V. T. Chow (ed.), Advances in Hydroscience, Vol. II, Academic Press, NY, (1978) pp. 95–164. 9 J. M. Oberhuber, ' Simulation of the Atlantic circulation with a coupled sea ice-mixed layer-isopycnal general circulation model', Max-Planck-Institut fur Meteorologie, Report 59, (1990). 10 T. J. Simons, ' Development of three-dimensional numerical models of the Great Lakes', Scientific Ser. 12, Canada Centre for Inland Waters, Burlington, On., (1973). 11 P. Lancaster and M. Tismenetsky, The Theory of Matrices. Second Edition with Applications, Academic, New York, (1985). 12 W. H. Graf, ' Waves on and in Lake of Geneva', Proc. AIRH-IAHR Congr., Delft, NL, (1987) pp. 1–49. 13 W. Rodi, Turbulence Models and Their Applications in Hydraulics, 2nd edn, IAHR, Delft, NL, (1984). Citing Literature Volume25, Issue630 September 1997Pages 645-658 ReferencesRelatedInformation
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