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Three numerical schemes for the vorticity-divergence form of the shallow-water equations are analyzed using the Fourier transform technique developed by Schoenstadt (1980). These schemes are compared with two finite-element schemes for the primitive form of the equations which were examined by Schoenstadt. The best finite-element schemes use either staggered elements in the primitive form of the equations, or unstaggered elements in the vorticity-divergence form.
Three numerical schemes for the vorticity-divergence form of the shallow-water equations are analyzed using the Fourier transform technique developed by Schoenstadt (1980). These schemes are compared with two finite-element schemes for the primitive form of the equations which were examined by Schoenstadt. The best finite-element schemes use either staggered elements in the primitive form of the equations, or unstaggered elements in the vorticity-divergence form.
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| Full Text Views | 92 | 34 | 3 |
| PDF Downloads | 35 | 2 | 1 |
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