Contribution on transient flow modelling in storm sewers

Fuamba, Musandji

doi:10.1080/00221680209499915

Cited by 41 publications

(50 citation statements)

References 5 publications

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“…We point out that we did not find in other papers, by authors carrying out the same simulation, a convenient numerical reproduction of these oscillations: they do not treat the dynamical aspect of the pressure flow, in particular when using the Preissmann slot technique [23,11]. On the other hand, we found in Fuamba [8] a similar and interesting approach with a non-conservative formulation and another numerical method (characteristics). The value of the sound speed c was taken equal to 40 m/s, roughly according to the frequency of the oscillations observed during the phase of total submersion of the tunnel.…”

Section: Single Point Pressurised Flowmentioning

confidence: 68%

“…Li and McCorquodale [15] extended the rigid water column approach to allow for the transport of the trapped air bubble. Recently, Fuamba [8] proposed a model for the transition from a free-surface flow to a pressurised one in a way very close to ours. He wrote the conservation of mass, momentum and energy through the transition point and proposed a laboratory validation of his model.…”

Section: Introductionmentioning

confidence: 76%

“…6) On the left side of the line =wt we have a pressurised flow and on the right side we have a free-surface flow, (the speed w of the transition point being positive). Following Song [20] (see also [8]), an equivalent stationary hydraulic jump must occur from a supercritical to a subcritical condition and thus, the characteristics speed satisfies the inequalities:…”

Section: Case Of a Transition Pointmentioning

confidence: 98%

“…The main difference arises from the pressure laws (3) and (8) and of course, the set of unknowns. This proximity leads us to use a common couple of conservative variables in order to write a single formulation.…”

Section: Dual Modelmentioning

confidence: 99%

“…In the second part, the numerical simulation is performed by making use of a Roe-like explicit finite volume scheme adapted to discontinuities of the flux gradient occurring in the treatment of the transitions between free-surface and pressurised flows. Let us notice that with this type of unique conservative formulation for the two types of flows, we are able to deal with flows for which it exists more that one transition point unlike Song et al [20] with a totally dynamic treatment of these transition points as Fuamba mentions it [8].…”

Section: Introductionmentioning

confidence: 97%

See 4 more Smart Citations

A finite volume scheme for a model coupling free surface and pressurised flows in pipes

Bourdarias¹,

Gerbi²

2007

Journal of Computational and Applied Mathematics

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A model is derived for the coupling of transient free surface and pressurized flows. The resulting system of equations is written under a conservative form with discontinuous gradient of pressure. We treat the transition point between the two types of flows as a free boundary associated to a discontinuity of the gradient of pressure. The numerical simulation is performed by making use of a Roe-like finite volume scheme that we adapted to such discontinuities in the flux. The validation is performed by comparison with experimental results.

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Section: Single Point Pressurised Flowmentioning

confidence: 68%

Section: Introductionmentioning

confidence: 76%

Section: Case Of a Transition Pointmentioning

confidence: 98%

Section: Dual Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

See 3 more Smart Citations

A finite volume scheme for a model coupling free surface and pressurised flows in pipes

Bourdarias¹,

Gerbi²

2007

Journal of Computational and Applied Mathematics

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A semi‐implicit numerical model for urban drainage systems

Casulli

Stelling

2013

Numerical Methods in Fluids

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SUMMARYIn this paper, a semi‐implicit numerical model for one‐dimensional urban drainage networks is formulated in such a fashion as to intrinsically account for arbitrary cross sections, for the occurrence of dry areas, for free surface, and for pressurized flows. The governing differential equations are discretized with a consistent mass conservative scheme that naturally applies to all flow regimes. The resulting mildly nonlinear system, at every time step, is efficiently solved with a converging, properly devised, nested Newton‐type algorithm. It will be shown that with the proposed semi‐implicit model, high accuracy can be achieved at a moderate computational cost. Copyright © 2013 John Wiley & Sons, Ltd.

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Extension of the two‐component pressure approach for modeling mixed free‐surface‐pressurized flows with the two‐dimensional shallow water equations

Cea

López-Núñez

2020

Numerical Methods in Fluids

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Numerical models based on the two‐dimensional shallow water equations (2D‐SWE) are routinely used in flood risk management and inundation studies. However, most of these models do not adequately account for vertically confined flow conditions that can appear during inundations, due to the presence of hydraulic structures such as bridges, culverts, or underground river reaches. In this article we propose a new mathematical modification of the standard 2D‐SWE, inspired by the two‐component pressure approach for 1D flows, to address the issue of transient vertically confined flows including transitions between free surface and pressurized conditions. A finite volume discretization to solve the proposed system of equations is proposed and analyzed. Various test cases are used to show the numerical stability and accuracy of the discretization, and to validate the proposed formulation. Results show that the proposed method is numerically stable, accurate, mass conservative, and preserves the C‐property. It can also handle subcritical, supercritical, and transcritical flows under free surface or vertically confined conditions.

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Contribution on transient flow modelling in storm sewers

Cited by 41 publications

References 5 publications

A finite volume scheme for a model coupling free surface and pressurised flows in pipes

A finite volume scheme for a model coupling free surface and pressurised flows in pipes

A semi‐implicit numerical model for urban drainage systems

Extension of the two‐component pressure approach for modeling mixed free‐surface‐pressurized flows with the two‐dimensional shallow water equations

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