Abstract

The paper presents the application of a diagnostic model of an air velocity field in complex geometric settings. A variational algorithm is used to satisfy the criterion of mass balance. The formulated elliptic-type equation is solved with conformal mapping and the finite difference method for a non-equidistant discretisation net. A series of transformations sets the problem in the form of a system of algebraic linear equations which is subsequently solved with the iterative conjugate gradient method. The initial velocity field is determined by adjusting the air velocity field to the measurement data. The method comprises two stages. First, the measurement data are interpolated at a given altitude above the surface. Next, the initial vertical profile of the velocity vector is determined at the nodes of the discretisation net. Computations are performed for an area representing buildings, as in the MUST field experiment, and the results are compared to those of measurements from a wind tunnel. An analysis of the results including appropriate error measures for assessing accuracy of the model is presented.

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