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Computation of Wind-Driven Circulation in Shallow Lakes

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Finite Elements in Water Resources
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Abstract

A three-dimensional, non-stationary, shallow-water model of wind induced circulation in lakes is formulated. The finite element approach is used for spatial discretization. Uniform elements /triangular prisms/ with the simplest possible shape functions are used. Since the model is linear and has a nevolutionary form.spatial discretizationyields a linear system of ordinary differential equations. Apt implicit, one-step scheme is applied for time, integration. The obtained system of algebraic equations is solved iteratively.

Partition into elements is supported by a heuristic algorithm of surface triangulation.

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© 1982 Springer-Verlag Berlin Heidelberg

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Jackowski, B.L. (1982). Computation of Wind-Driven Circulation in Shallow Lakes. In: Holz, K.P., Meissner, U., Zielke, W., Brebbia, C.A., Pinder, G., Gray, W. (eds) Finite Elements in Water Resources. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02348-8_37

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  • DOI: https://doi.org/10.1007/978-3-662-02348-8_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02350-1

  • Online ISBN: 978-3-662-02348-8

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