Finite‐Volume Two‐Dimensional Unsteady‐Flow Model for River Basins

Zhao, Defang; Shen, Hsieh Wen; Tabios, Guillermo Q.; Lai, J. S.; Tan, Wenke

doi:10.1061/(asce)0733-9429(1994)120:7(863)

Cited by 254 publications

(130 citation statements)

References 18 publications

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“…In the FVM, the governing equations in conservation form ͑Tan 1992; Zhao et al 1994 can be expressed as follows:…”

Section: Governing Equationsmentioning

confidence: 99%

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Case Study: Influence of Morphological Changes on Flooding in Jingjiang River

Ping

Liu

et al. 2008

J. Hydraul. Eng.

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Abstract:The middle reach of the Yangtze River, customarily called the Jingjiang River, together with its diversion channels and Dongting Lake, form a large complicated drainage system. In the last five decades, significant geomorphological changes have occurred in the drainage system, including the shrinkage of diversion channels, contraction of Dongting Lake, changes in the rating curve at the Luoshan station, and cutoffs of the lower Jingjiang River. These changes are believed to be the cause of the occurrence of abnormal floods in the Jingjiang River. Qualitative analyses suggest that the first three factors aggravate the flood situation in the lower Jingjiang River, while the last factor seems beneficial for flood prevention. To quantitatively evaluate these conclusions, a finite-volume numerical model was constructed. A series of numerical simulations were carried out to test the individual and combined effects of the aforementioned four factors, and these simulations showed that high flood stages in the Jingjiang River clearly are related to the geomorphological changes.

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“…In the FVM, the governing equations in conservation form ͑Tan 1992; Zhao et al 1994 can be expressed as follows:…”

Section: Governing Equationsmentioning

confidence: 99%

“…͑10͒ shows that the numerical flux can be computed according to the sign of the eigenvalues and characteristics of the upwind scheme. There are 16 possibilities for the numerical flux value ͑Tan 1992; Zhao et al 1994.…”

Section: Numerical Solution Of Normal Fluxmentioning

confidence: 99%

Case Study: Influence of Morphological Changes on Flooding in Jingjiang River

Ping

Liu

et al. 2008

J. Hydraul. Eng.

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“…The estimation of the mass flux essentially involves calculation of the unit discharge, denoted by q m , across the element interface that forms the interior hydraulic structure. The discharge formulae available in the model depend on the type of hydraulic structure, such as a well, gate-spillway, levee, bridge, or culvert (Zhao et al, 1994). For flow through a weir, a weir formula is used.…”

Section: Solid Boundarymentioning

confidence: 99%

“…Alcrudo and Garcia-Navarro (1993) reported a Godunov-type upwind method implemented in finitevolume form using an irregular grid for hydraulic flows. Zhao et al (1994) and Cheng et al (1995) presented a two-dimensional unsteady-flow model that is based on the finite-volume method with a combination of unstructured triangular and quadrilateral grids in a river-basin system, and their results were encouraging.…”

Section: Introductionmentioning

confidence: 99%

Simulating the hydraulic characteristics of the lower Yellow River by the finite‐volume technique

Wan

Zhou

et al. 2002

Hydrological Processes

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Abstract:The finite-volume technique is used to solve the two-dimensional shallow-water equations on unstructured mesh consisting of quadrilateral elements. In this paper the algorithm of the finite-volume method is discussed in detail and particular attention is paid to accurately representing the complex irregular computational domain. The lower Yellow River reach from Huayuankou to Jiahetan is a typical meandering river. The generation of the computational mesh, which is used to simulate the flood, is affected by the distribution of water works in the river channel. The spatial information about the two Yellow River levee, the protecting dykes, and those roads that are obviously higher than the ground, need to be used to generate the computational mesh. As a result these dykes and roads locate the element interfaces of the computational mesh. In the model the finite-volume method is used to solve the shallow-wave equations, and the Osher scheme of the empirical function is used to calculate the flux through the interface between the neighbouring elements. The finite-volume method has the advantage of using computational domain with complex geometry, and the Osher scheme is a method based on characteristic theory and is a monotone upwind numerical scheme with high resolution. The flood event with peak discharge of 15 300 m 3 /s, occurring in the period from 30 July to 10 August 1982, is simulated. The estimated result indicates that the simulation method is good for routing the flood in a region with complex geometry.

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“…Alcrudo and García-Navarro [6] developed a Godunov-type MUSCL high-resolution scheme based on Roe's Riemann solver. Zhao et al [7] proposed an upwind finite volume method on unstructured grids using Osher's scheme. Anastasiou and Chan [8] solved the full set of shallow water equations on unstructured meshes using a second order Roe scheme and reported results for viscous flows at low Reynolds numbers.…”

Section: Introductionmentioning

confidence: 99%

High-order finite volume schemes on unstructured grids using moving least-squares reconstruction. Application to shallow water dynamics

Cueto‐Felgueroso¹,

Colominas²,

Fe³

et al. 2005

Int. J. Numer. Meth. Engng

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SUMMARYThis paper introduces the use of Moving Least Squares (MLS) approximations for the development of high-order finite volume discretizations on unstructured grids. The field variables and their succesive derivatives can be accurately reconstructed using this meshfree technique in a general nodal arrangement. The methodology proposed is used in the construction of low-dissipative highorder high-resolution schemes for the shallow water equations. In particular, second and third-orderreconstruction upwind schemes for unstructured grids based on Roe's flux difference splitting are developed and applied to inviscid and viscous flows. This class of meshfree reconstruction techniques provide a robust and general approximation framework which represents an interesting alternative to the existing procedures, allowing, in addition, an accurate computation of the viscous fluxes. Copyright

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Finite‐Volume Two‐Dimensional Unsteady‐Flow Model for River Basins

Cited by 254 publications

References 18 publications

Case Study: Influence of Morphological Changes on Flooding in Jingjiang River

Case Study: Influence of Morphological Changes on Flooding in Jingjiang River

Simulating the hydraulic characteristics of the lower Yellow River by the finite‐volume technique

High-order finite volume schemes on unstructured grids using moving least-squares reconstruction. Application to shallow water dynamics

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