Principal Interaction Patterns in Baroclinic Wave Life Cycles

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Abstract
A principal interaction pattern (PIP) analysis aims at finding a limited number of structures in seemingly very complicated physical scenarios that are time independent up to their amplitudes and phases. These vary according to nonlinear equations determining the interaction between the different structures. By minimizing a suitably chosen error function, calculated by comparing a PIP model with observed or synthetic datasets, both the structures and their interaction coefficients are determined simultaneously. This might therefore be a useful tool for identifying basic structures and processes underlying baroclinic wave life cycles. As a first step in this direction, an accordingly devised PIP model has been applied to a synthetic dataset obtained by numerically integrating the tendency equations of a very simple spherical and quasigeostrophic two-layer model incorporating surface drag and thermal damping. For fairly typical dissipative parameters, a PIP analysis identifies three basic structure... Abstract A principal interaction pattern (PIP) analysis aims at finding a limited number of structures in seemingly very complicated physical scenarios that are time independent up to their amplitudes and phases. These vary according to nonlinear equations determining the interaction between the different structures. By minimizing a suitably chosen error function, calculated by comparing a PIP model with observed or synthetic datasets, both the structures and their interaction coefficients are determined simultaneously. This might therefore be a useful tool for identifying basic structures and processes underlying baroclinic wave life cycles. As a first step in this direction, an accordingly devised PIP model has been applied to a synthetic dataset obtained by numerically integrating the tendency equations of a very simple spherical and quasigeostrophic two-layer model incorporating surface drag and thermal damping. For fairly typical dissipative parameters, a PIP analysis identifies three basic structure...

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