Newton-Krylov-Schwarz Method for a Spherical Shallow Water Model∗
نویسندگان
چکیده
The cubed-sphere grid of gnomonic type [ 7, 8] is used in this study. The grid is generated by mapping the six faces of an inscribed cube to the sphere surface using gnomonic projection. The six expanded patches are continuously attached together with proper boundary conditions. On each patch, the expressions of the SWEs in local curvilinear coordinates (x, y) ∈ [−π/4, π/4] are identical. When no bottom topography is involved, the SWEs can be written in the following conservative form:
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