IMPLICIT NONLINEAR NORMAL MODE INITIALIZATION:A MULTIGRID APPROACH  

作　　者：D.R.C.Nair B.Chakravarty P.Niyogi 

机构地区：[1]Dept.of Physics and Meteorology,Indian Institute of Technology,Kharagpur 721 302,India [2]Dept.of Mathematics,Indian Institute of Technology,Kharagpur 721 302,India

出　　处：《Acta meteorologica Sinica》1993年第1期19-30,共12页

摘　　要：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.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.

关 键 词：limited-area shallow water model implicit normal mode initialization(INMI) multigrid approach elliptic type equations 

分 类 号：P4[天文地球—大气科学及气象学]