The Equations of Complete Depth-Averaged Turbulence Model in General Orthogonal Coordinates

Ding Yan; Zhou Xueyi; Yu Changzhao; Liang Dong

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Ding Yan, Zhou Xueyi, Yu Changzhao, Liang Dong. The Equations of Complete Depth-Averaged Turbulence Model in General Orthogonal Coordinates[J]. Applied Mathematics and Mechanics, 1996, 17(1): 53-61.

Citation:

Ding Yan, Zhou Xueyi, Yu Changzhao, Liang Dong. The Equations of Complete Depth-Averaged Turbulence Model in General Orthogonal Coordinates[J]. Applied Mathematics and Mechanics, 1996, 17(1): 53-61.

Citation:

Ding Yan, Zhou Xueyi, Yu Changzhao, Liang Dong. The Equations of Complete Depth-Averaged Turbulence Model in General Orthogonal Coordinates[J]. Applied Mathematics and Mechanics, 1996, 17(1): 53-61.

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The Equations of Complete Depth-Averaged Turbulence Model in General Orthogonal Coordinates

Dept.of Hudraulic Engineering, Qinghua Univ., Beijing 100084, P.R.China;

Received Date: 1994-06-14
Publish Date: 1996-01-15

Abstract

Abstract

For shallow water flow, the depth-averaged governing equations are derived by depth-averaging of the mean equations for three-dimensional turbulent flows. The influences of free water surface and of topography of river bed are taken into account.The depth-averaged equations of k-turbulence model are also obtained. Because it Accounts for the three-dimensional effect, this model is named as the complete Depth-averaged model.The boundaries of natural water bodies are usually curved.In this work, the derived equations in Cartesian coordinates are transformed into orthogonal coordinates. The obtained equations can be applied directly to numerical computation of practical problems.
- turbulent flow,
- mathematical model,
- depth-average,
- general orthogonal coordinates

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References(8)

References

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