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A derivation of the Green-Naghdi equations for irrotational flows

✍ Scribed by J.W. Kim; K.J. Bai; R.C. Ertekin; W.C. Webster


Book ID
110363012
Publisher
Springer
Year
2001
Tongue
English
Weight
188 KB
Volume
40
Category
Article
ISSN
0022-0833

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A pseudo-spectral algorithm is presented for the solution of the rotating Green-Naghdi shallow water equations in two spatial dimensions. The equations are first written in vorticity-divergence form, in order to exploit the fact that time-derivatives then appear implicitly in the divergence equation