IMPLICIT NONLINEAR NORMAL MODE INITIALIZATION:A MULTIGRID APPROACH |
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| Authors: | D.R.C.Nair B.Chakravarty Dept.of Physics Meteorology Indian Institute of Technology Kharagpur India P.Niyogi Dept.of Mathematics Indian Institute of Technology Kharagpur India |
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| Affiliation: | D.R.C.Nair B.Chakravarty Dept.of Physics and Meteorology,Indian Institute of Technology,Kharagpur 721 302,India and P.Niyogi Dept.of Mathematics,Indian Institute of Technology,Kharagpur 721 302,India |
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| Abstract: | The implicit nonlinear normal mode initialization (INMI) is applied to a tropical limited area shallow water model in spherical coordinates.The boundary condition for the INMI scheme is based on the boundary formulation of the model.The INMI scheme is found to be very efficient in suppressing spurious gravity wave oscillation and providing a well balanced initial data set for the model.The INMI scheme involves solving a number of elliptic type equations with varying complexity.and hence an efficient numerical technique is required for solving such equations.In order to make INMI computationally more attractive,we are employing the multigrid method for solving all the elliptic type equations in the INMI scheme.The numerical procedures for the development of such multigrid solvers are briefly described. |
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| Keywords: | limited-area shallow water model implicit normal mode initialization(INMI) multigrid approach elliptic type equations |
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