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- W1990977654 abstract "For atmospheric and oceanic modeling, the equations of motion are numerically solved in either momentum form or vorticity form. Since vorticity is a conservative quantity in the Lagrangian sense, it has been considered that the vorticity form discretization scheme is more appropriate for the simulation of atmospheric and oceanic flows. However, it requires a Poisson solver to obtain the streamfunction from the vorticity: the use of a Poisson solver is thought to be a drawback for high-resolution atmospheric and oceanic modeling. In contrast, a Poisson solver is not required if the momentum form discretization scheme is applied to compressible flows. In this study, we propose a new advection scheme which possesses the advantages of both schemes: conservation of vorticity and no need for a Poisson solver. Both velocity components and vorticity are temporally integrated using the semi-Lagrangian method by constructing a unified interpolation function for velocity components and vorticity. We apply this scheme to a two-dimensional shear instability problem, and have found that this scheme gives a result competitive with the vorticity form scheme and is more accurate than the momentum form scheme." @default.
- W1990977654 created "2016-06-24" @default.
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- W1990977654 date "2004-01-01" @default.
- W1990977654 modified "2023-10-17" @default.
- W1990977654 title "An Accurate Semi-Lagrangian Scheme with a Unified Interpolation Function Constructed from Vorticity and Velocity Components" @default.
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- W1990977654 doi "https://doi.org/10.1299/jsmeb.47.716" @default.
- W1990977654 hasPublicationYear "2004" @default.
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