Flyer, Natasha; Lehto, Erik; Blaise, Sébastien; Wright, Grady B.; St-Cyr, Amik A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere. (English) Zbl 1394.76078 J. Comput. Phys. 231, No. 11, 4078-4095 (2012). MSC: 76M20 76B15 86A05 PDFBibTeX XMLCite \textit{N. Flyer} et al., J. Comput. Phys. 231, No. 11, 4078--4095 (2012; Zbl 1394.76078) Full Text: DOI Link
Cotter, C. J.; Ham, D. A. Numerical wave propagation for the triangular \(P1_{DG}-P2\) finite element pair. (English) Zbl 1316.76019 J. Comput. Phys. 230, No. 8, 2806-2820 (2011). MSC: 76B15 65N30 76M10 86A10 PDFBibTeX XMLCite \textit{C. J. Cotter} and \textit{D. A. Ham}, J. Comput. Phys. 230, No. 8, 2806--2820 (2011; Zbl 1316.76019) Full Text: DOI arXiv
Thuburn, J. Numerical wave propagation on the hexagonal C-grid. (English) Zbl 1220.76018 J. Comput. Phys. 227, No. 11, 5836-5858 (2008). MSC: 76B15 65M12 76U05 86A05 PDFBibTeX XMLCite \textit{J. Thuburn}, J. Comput. Phys. 227, No. 11, 5836--5858 (2008; Zbl 1220.76018) Full Text: DOI Link
Helenbrook, B. T.; Cowles, G. W. Preconditioning for dual-time-stepping simulations of the shallow water equations including Coriolis and bed friction effects. (English) Zbl 1163.76036 J. Comput. Phys. 227, No. 9, 4425-4440 (2008). MSC: 76M20 76B15 76B65 76U05 86A05 PDFBibTeX XMLCite \textit{B. T. Helenbrook} and \textit{G. W. Cowles}, J. Comput. Phys. 227, No. 9, 4425--4440 (2008; Zbl 1163.76036) Full Text: DOI
Callaghan, T. G.; Forbes, L. K. Computing large-amplitude progressive Rossby waves on a sphere. (English) Zbl 1151.76409 J. Comput. Phys. 217, No. 2, 845-865 (2006). MSC: 76B65 76B60 76U05 86A10 PDFBibTeX XMLCite \textit{T. G. Callaghan} and \textit{L. K. Forbes}, J. Comput. Phys. 217, No. 2, 845--865 (2006; Zbl 1151.76409) Full Text: DOI
Smith, Robert K.; Dritschel, David G. Revisiting the Rossby-Haurwitz wave test case with contour advection. (English) Zbl 1160.86305 J. Comput. Phys. 217, No. 2, 473-484 (2006). MSC: 86A10 65M06 76B65 86A05 PDFBibTeX XMLCite \textit{R. K. Smith} and \textit{D. G. Dritschel}, J. Comput. Phys. 217, No. 2, 473--484 (2006; Zbl 1160.86305) Full Text: DOI
Blayo, Eric Compact finite difference schemes for ocean models. I: Ocean waves. (English) Zbl 0994.76065 J. Comput. Phys. 164, No. 2, 241-257 (2000). MSC: 76M20 76B15 76B65 86A05 PDFBibTeX XMLCite \textit{E. Blayo}, J. Comput. Phys. 164, No. 2, 241--257 (2000; Zbl 0994.76065) Full Text: DOI
Cheong, Hyeong-Bin Double Fourier series on a sphere: Applications to elliptic and vorticity equations. (English) Zbl 0961.76062 J. Comput. Phys. 157, No. 1, 327-349 (2000). MSC: 76M22 76U05 PDFBibTeX XMLCite \textit{H.-B. Cheong}, J. Comput. Phys. 157, No. 1, 327--349 (2000; Zbl 0961.76062) Full Text: DOI
Dukowicz, John K. Mesh effects for Rossby waves. (English) Zbl 0828.76052 J. Comput. Phys. 119, No. 1, 188-194 (1995). MSC: 76M20 76B65 86A05 PDFBibTeX XMLCite \textit{J. K. Dukowicz}, J. Comput. Phys. 119, No. 1, 188--194 (1995; Zbl 0828.76052) Full Text: DOI
Yavneh, Irad; McWilliams, James C. Robust multigrid solution of the shallow water balance equations. (English) Zbl 0919.76063 J. Comput. Phys. 119, No. 1, 1-25 (1995). MSC: 76M20 76B65 86A05 65M55 PDFBibTeX XMLCite \textit{I. Yavneh} and \textit{J. C. McWilliams}, J. Comput. Phys. 119, No. 1, 1--25 (1995; Zbl 0919.76063) Full Text: DOI
Ma, Hong A spectral element basin model for the shallow water equations. (English) Zbl 0790.76065 J. Comput. Phys. 109, No. 1, 133-149 (1993). MSC: 76M25 76B15 65M70 86A05 PDFBibTeX XMLCite \textit{H. Ma}, J. Comput. Phys. 109, No. 1, 133--149 (1993; Zbl 0790.76065) Full Text: DOI Link
Williamson, David L.; Drake, John B.; Hack, James J.; Jakob, Rüdiger; Swarztrauber, Paul N. A standard test set for numerical approximations to the shallow water equations in spherical geometry. (English) Zbl 0756.76060 J. Comput. Phys. 102, No. 1, 211-224 (1992). Reviewer: A.S.Gupta (Kharagpur) MSC: 76M25 76B15 76U05 76B65 86A10 PDFBibTeX XMLCite \textit{D. L. Williamson} et al., J. Comput. Phys. 102, No. 1, 211--224 (1992; Zbl 0756.76060) Full Text: DOI
Steppeler, J. Energy conserving Galerkin finite element schemes for the primitive equations of numerical weather prediction. (English) Zbl 0607.76023 J. Comput. Phys. 69, 258-264 (1987). MSC: 76B65 86A05 76B15 76M99 86A10 PDFBibTeX XMLCite \textit{J. Steppeler}, J. Comput. Phys. 69, 258--264 (1987; Zbl 0607.76023) Full Text: DOI
Navarra, A. An application of the Arnoldi method to a geophysical fluid dynamics problem. (English) Zbl 0607.76022 J. Comput. Phys. 69, 143-162 (1987). MSC: 76B65 76M99 86A10 PDFBibTeX XMLCite \textit{A. Navarra}, J. Comput. Phys. 69, 143--162 (1987; Zbl 0607.76022) Full Text: DOI
Norton, N. J.; McWilliams, J. C.; Gent, P. R. A numerical model of the balance equations in a periodic domain and an example of balanced turbulence. (English) Zbl 0599.76032 J. Comput. Phys. 67, 439-471 (1986). MSC: 76B65 76F99 76V05 76M99 PDFBibTeX XMLCite \textit{N. J. Norton} et al., J. Comput. Phys. 67, 439--471 (1986; Zbl 0599.76032) Full Text: DOI
le Provost, C.; Vincent, P. Some tests of precision for a finite element model of ocean tides. (English) Zbl 0591.76025 J. Comput. Phys. 65, 273-291 (1986). MSC: 76B15 76B65 76M99 PDFBibTeX XMLCite \textit{C. le Provost} and \textit{P. Vincent}, J. Comput. Phys. 65, 273--291 (1986; Zbl 0591.76025) Full Text: DOI
Miller, Robert N.; Robinson, Allan R.; Haidvogel, Dale B. A baroclinic quasigeostrophic open ocean model. (English) Zbl 0533.76044 J. Comput. Phys. 50, 38-70 (1983). Reviewer: H.S.Takhar MSC: 76E20 76M99 86A05 76E30 76B65 76V05 PDFBibTeX XMLCite \textit{R. N. Miller} et al., J. Comput. Phys. 50, 38--70 (1983; Zbl 0533.76044) Full Text: DOI
Haidvogel, D. B.; Robinson, A. R.; Schulman, E. E. The accuracy, efficiency, and stability of three numerical models with application to open ocean problems. (English) Zbl 0495.76010 J. Comput. Phys. 34, 1-53 (1980). MSC: 76M99 76-02 86A05 76E20 PDFBibTeX XMLCite \textit{D. B. Haidvogel} et al., J. Comput. Phys. 34, 1--53 (1980; Zbl 0495.76010) Full Text: DOI
Haidvogel, D. B.; Robinson, A. R.; Schulman, E. E. The accuracy, efficiency, and stability of three numerical models with application to open ocean problems. (English) Zbl 0489.76035 J. Comput. Phys. 34, 1-53 (1980). MSC: 76B65 76M99 86A05 76B47 PDFBibTeX XMLCite \textit{D. B. Haidvogel} et al., J. Comput. Phys. 34, 1--53 (1980; Zbl 0489.76035) Full Text: DOI
Camerlengo, Alejandro L.; O’Brien, James J. Open boundary conditions in rotating fluids. (English) Zbl 0425.76090 J. Comput. Phys. 35, 12-35 (1980). MSC: 76U05 76B65 86A05 PDFBibTeX XMLCite \textit{A. L. Camerlengo} and \textit{J. J. O'Brien}, J. Comput. Phys. 35, 12--35 (1980; Zbl 0425.76090) Full Text: DOI
Beardsley, R. C. Integration of the planetary vorticity equation on a parabolic circular grid. (English) Zbl 0219.76019 J. Comput. Phys. 7, 273-288 (1971). MSC: 76B65 76B47 PDFBibTeX XMLCite \textit{R. C. Beardsley}, J. Comput. Phys. 7, 273--288 (1971; Zbl 0219.76019) Full Text: DOI