DEVELOPMENT OF A MATHEMATICAL MODEL FOR SOLVING SHALLOW WATER EQUATIONS IN CARTESIAN COORDINATES AND ITS APPLICATION IN COMPLEX GEOMETRIES

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JAHANFAR M.; ZERAATI A.R.

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Journal: AMIRKABIR Year:2004 | Volume:15 | Issue:59-C Page(s): 19-34

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Title

DEVELOPMENT OF A MATHEMATICAL MODEL FOR SOLVING SHALLOW WATER EQUATIONS IN CARTESIAN COORDINATES AND ITS APPLICATION IN COMPLEX GEOMETRIES

Author(s)

JAHANFAR M. | ZERAATI A.R. | Issue Writer Certificate

Keywords

MATHEMATICAL MODELQ2

SHALLOW WATER EQUATIONSQ4

COMPLEX GEOMETRYQ3

CARTESIAN COORDINATESQ4

EXPLICIT SCHEMEQ3

CONTROL VOLUMEQ4

Abstract

In this paper an explicit MATHEMATICAL MODEL is developed to solve SHALLOW WATER EQUATIONS and it is applied to flows with COMPLEX GEOMETRY. CONTROL VOLUME method is used to solve unsteady equations with a staggered grid arrangement. Turbulent stresses are calculated based on a constant eddy viscosity. The model is verified in different flow conditions such as a flow in a canal with a wavy bed, propagation of wave in a reservoir, sudden expansion in a rectangular channel, uniform flow in a rectangular channel, which is inclined with respect to the coordinates, and flow in a meandering channel The results are compared with experimental and analytical data. Complex boundaries are introduced to the model by steps. The effect of steps on the accuracy of model is investigated. It is shown that steps introduce additional resistance to the flow. This additional resistance is however negligible if flow velocity is low and the width to depth ratio is large.

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APA: Copy

JAHANFAR, M., & ZERAATI, A.R.. (2004). DEVELOPMENT OF A MATHEMATICAL MODEL FOR SOLVING SHALLOW WATER EQUATIONS IN CARTESIAN COORDINATES AND ITS APPLICATION IN COMPLEX GEOMETRIES. AMIRKABIR, 15(59-C), 19-34. SID. https://sid.ir/paper/897/en

Vancouver: Copy

JAHANFAR M., ZERAATI A.R.. DEVELOPMENT OF A MATHEMATICAL MODEL FOR SOLVING SHALLOW WATER EQUATIONS IN CARTESIAN COORDINATES AND ITS APPLICATION IN COMPLEX GEOMETRIES. AMIRKABIR[Internet]. 2004;15(59-C):19-34. Available from: https://sid.ir/paper/897/en

IEEE: Copy

M. JAHANFAR, and A.R. ZERAATI, “DEVELOPMENT OF A MATHEMATICAL MODEL FOR SOLVING SHALLOW WATER EQUATIONS IN CARTESIAN COORDINATES AND ITS APPLICATION IN COMPLEX GEOMETRIES,” AMIRKABIR, vol. 15, no. 59-C, pp. 19–34, 2004, [Online]. Available: https://sid.ir/paper/897/en

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