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  • 1
    Electronic Resource
    Electronic Resource
    Multigrid solution of stably stratified flows: The quasigeostrophic equations (1996)
    Springer
    Journal of scientific computing 11 (1996), S. 47-69 
    Details
    ISSN: 1573-7691
    Keywords: Multigrid ; quasigeostrophic equations ; geophysical turbulence ; parallel computation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Two approaches are investigated to the multigrid solution of the quasi-geostrophic equations—a fundamental nonlinear system of partial differential equations that models large-scale planetary flows. One approach employs standard coarsening with pointwise SOR and the other line relaxation with partial coarsening. The latter solver is implemented in turbulent-flow simulations on the CRAY C-90 supercomputer. This solver is robust with respect to anisotropy of the operator due to stratification, and it efficiently exploits the vectorization and parallelization capabilities of the machine. The approach taken is applicable to more complex related systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02088949
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  • 2
    Electronic Resource
    Electronic Resource
    An elliptic problem with integral constraints with application to large-scale geophysical flows (1998)
    Springer
    Computational geosciences 2 (1998), S. 337-346 
    Details
    ISSN: 1573-1499
    Keywords: elliptic equation ; integral constraint ; Quasigeostrophic equations ; geophysical flows ; 35Q35 ; 65N30 ; 76M10 ; 76V05 ; 86A05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Computer Science
    Notes: Abstract We present a weak formulation of a non-standard elliptic equation whose boundary values are determined in part by integral relations. Existence and uniqueness of its solution are proved, and a finite element discretization is described, analyzed, and implemented on a test problem. The equation is a generalization of one that is solved during integration of the three-dimensional Quasigeostrophic equations, which model large-scale rotating stratified flows, where the integral constraints represent conservation of physical properties.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1011514606314
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