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Theoretical Aspect of Suitable Spatial Boundary Condition Specified for Adjoint Model on Limited Area


doi: 10.1007/s00376-001-0024-2

  • Theoretical argumentation for so-called suitable spatial condition is conducted by the aid of homotopy framework to demonstrate that the proposed boundary condition does guarantee that the over-specification boundary condition resulting from an adjoint model on a limited-area is no longer an issue, and yet preserve its well-poseness and optimal character in the boundary setting. The ill-poseness of over-specified spatial boundary condition is in a sense, inevitable from an adjoint model since data assimilation processes have to adapt prescribed observations that used to be over-specified at the spatial boundaries of the modeling domain.In the view of pragmatic implement, the theoretical framework of our proposed condition for spatial boundaries indeed can be reduced to the hybrid formulation of nudging filter, radiation condition taking account of ambient forcing, together with Dirichlet kind of compatible boundary condition to the observations prescribed in data assimilation procedure. All of these treatments, no doubt, are very familiar to mesoscale modelers.
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Manuscript History

Manuscript received: 10 November 2001
Manuscript revised: 10 November 2001
通讯作者: 陈斌, bchen63@163.com
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Theoretical Aspect of Suitable Spatial Boundary Condition Specified for Adjoint Model on Limited Area

  • 1. Department of Atmospheric Sciences, Nanjing University, Nanjing 210093 The Key Laboratory of Mesoscale Severe Weather, Ministry of Education, China,Department of Atmospheric Sciences, Nanjing University, Nanjing 210093 The Key Laboratory of Mesoscale Severe Weather, Ministry of Education, China

Abstract: Theoretical argumentation for so-called suitable spatial condition is conducted by the aid of homotopy framework to demonstrate that the proposed boundary condition does guarantee that the over-specification boundary condition resulting from an adjoint model on a limited-area is no longer an issue, and yet preserve its well-poseness and optimal character in the boundary setting. The ill-poseness of over-specified spatial boundary condition is in a sense, inevitable from an adjoint model since data assimilation processes have to adapt prescribed observations that used to be over-specified at the spatial boundaries of the modeling domain.In the view of pragmatic implement, the theoretical framework of our proposed condition for spatial boundaries indeed can be reduced to the hybrid formulation of nudging filter, radiation condition taking account of ambient forcing, together with Dirichlet kind of compatible boundary condition to the observations prescribed in data assimilation procedure. All of these treatments, no doubt, are very familiar to mesoscale modelers.

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