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In the TEF, a model is mathematically represented by a set of equations corresponding to two kinds objects:
Vector η represent the state variables of cells and the vector φ represent the dependent boundary conditions, i.e. the variables considered as boundary conditions by a cell, but depending upon the complete model state. This dependent boundary conditions are required to make the cells correspond to well-posed problems. These variables are often called state variables, and prognostic variables in meteorology.
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