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


IMPLICIT NONLINEAR NORMAL MODE INITIALIZATION:A MULTIGRID APPROACH
D.R.C.Nair,B.Chakravarty,P.Niyogi.IMPLICIT NONLINEAR NORMAL MODE INITIALIZATION:A MULTIGRID APPROACH[J].Acta Meteorologica Sinica,1993(1).
Authors:DRCNair BChakravarty Deptof Physics and Meteorology  Indian Institute of Technology  Kharagpur  India and PNiyogi Deptof Mathematics  Indian Institute of Technology  Kharagpur  India
Institution: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
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.
Keywords:limited-area shallow water model  implicit normal mode initialization(INMI)  multigrid approach  elliptic type equations
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