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A parallel adaptive barotropic model of the atmosphere. (English) Zbl 1162.35437
A parallel adaptive model (PLASMA) is presented which describes a barotropic atmosphere through the spherical shallow-water equations. The computational grid is adapted at each time-step, reducing the number of grid points with a moderate increase of error with respect to the uniform grid case. A Lagrange-Galerkin method is used to discretize the fluid equations. The simulations show satisfactory agreement when compared with known analytic solutions.

MSC:
35Q30 Navier-Stokes equations
65Z05 Applications to the sciences
76N15 Gas dynamics (general theory)
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