A Momentum-Conserving Scheme for Flow Simulation in 1D Channel with Obstacle and Contraction

Swastika, Putu Veri; Pudjaprasetya, S. R.; Wiryanto, L. H.; Hadiarti, Revi Nurfathhiyah

doi:10.3390/fluids6010026

Cited by 7 publications

(6 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The method is the generalization of the momentum conserving staggered-grid scheme, abbreviated as the MCS scheme (see [18]). We discussed a variant of this method which holds for a rectangular channel of varying depth and width in [19,20]. Since here we focus on channel with U-shaped cross-section, a short review of the MCS scheme for the quasi-1D of the Saint-Venant ( 6) and ( 7) is described below.…”

Section: Methodsmentioning

confidence: 99%

Numerical Simulation of Propagation and Run-Up of Long Waves in U-Shaped Bays

Pudjaprasetya

Risriani

Iryanto³

2021

Fluids

Self Cite

View full text Add to dashboard Cite

Wave propagation and run-up in U-shaped channel bays are studied here in the framework of the quasi-1D Saint-Venant equations. Our approach is numerical, using the momentum conserving staggered-grid (MCS) scheme, as a consistent approximation of the Saint-Venant equations. We carried out simulations regarding wave focusing and run-ups in U-shaped bays. We obtained good agreement with the existing analytical results on several aspects: the moving shoreline, wave shoaling, and run-up heights. Our findings also confirm that the run-up height is significantly higher in the parabolic bay than on a plane beach. This assessment shows the merit of the MCS scheme in describing wave focusing and run-up in U-shaped bays. Moreover, the MCS scheme is also efficient because it is based on the quasi-1D Saint-Venant equations.

show abstract

Section: Methodsmentioning

confidence: 99%

Numerical Simulation of Propagation and Run-Up of Long Waves in U-Shaped Bays

Pudjaprasetya

Risriani

Iryanto³

2021

Fluids

Self Cite

View full text Add to dashboard Cite

show abstract

“…The scheme can be used to solve problems with rapidly varying flows, such as those involving hydraulic jumps and bores. This scheme has been implemented and extended to various shallow water flow problems, such as in [10,16,17] where it was referred to as the MCS scheme, an abbreviation for the momentum conserving staggered-grid scheme. The extension of the MCS scheme to the two-layer model has been successfully used for the study of internal waves in [18].…”

Section: Numerical Modelmentioning

confidence: 99%

“…Using the analogy of the momentum conserving approximation of the shallow water equations for one-layer model as described in [10], we use the following approximation for the advection terms:…”

Section: Numerical Modelmentioning

confidence: 99%

“…In this article, we will develop a numerical scheme for solving the two-layer shallow water equations. The scheme is an extension of the momentum conserving staggered-grid scheme (MCS) for the one-layer shallow water equations [10] (see also [11]). It turns out that the newly developed scheme can be applied directly to solve two-layer shallow water models.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Momentum Conserving Scheme for Two-Layer Shallow Flows

Swastika

Pudjaprasetya

2021

Fluids

Self Cite

View full text Add to dashboard Cite

This paper confronts the numerical simulation of steady flows of fluid layers through channels of varying bed and width. The fluid consists of two immiscible fluid layers with constant density, and it is assumed to be of a one-dimensional shallow flow. The governing equation is a coupled system of two-layer shallow water models. In this paper, we apply a direct extension of the momentum conserving scheme previously used for solving the one layer shallow water equations. Computations of various steady-state solutions are used to demonstrate the performance of the proposed numerical scheme. Under the influence of a given flow rate, the numerical steady interface is generated in a channel topography with a hump. The results obtained confirm the analytic steady interface of the two-layer rigid-lid model. Furthermore, the same scheme was used with an additional artificial damping to simulate the maximal exchange flow in channels of varying width. The numerical steady interface agreed well with the analytical steady solutions.

show abstract

“…The projection of f n on the stream direction should match the pressure force between the channel inlet and outlet, barring friction forces parallel to the rods and minor momentum ux imbalances due to incomplete pro le development at the back. Accordingly, 3f n sinα = 3H(d + g) p i − p e (19) The coe cient 3 in Eq. ( 19) accounts for the three rods.…”

Section: Net Force Acting On the Rodsmentioning

confidence: 99%

Wall Pressures In a Channel Flow Obstructed By a Line of Inclined Rods: Invariant Groups and Semi-Empirical Correlations

Herrero

Ferrari

Marino

et al. 2021

Preprint

View full text Add to dashboard Cite

An experiment is conducted in a rectangular channel obstructed by a transverse line of four inclined cylindrical rods. The wall pressure around the perimeter of a central rod and the pressure drop through the channel are measured varying the inclination angle of the rods. Three assemblies of rods with different diameters are tested. The measurements were analyzed applying momentum conservation principles and semi-empirical considerations. Several invariant dimensionless groups of parameters relating the pressure at key locations of the system with characteristic dimensions of the rods are produced. It was found that the independence principle holds for most of the Euler numbers characterizing the pressure at different locations, that is, the group is independent of the inclination angle provided that the inlet velocity projection normal to the rods is used to non-dimensionalize the pressure. The resulting semi-empirical correlations can be useful for designing similar hydraulic units.

show abstract

A Momentum-Conserving Scheme for Flow Simulation in 1D Channel with Obstacle and Contraction

Cited by 7 publications

References 16 publications

Numerical Simulation of Propagation and Run-Up of Long Waves in U-Shaped Bays

Numerical Simulation of Propagation and Run-Up of Long Waves in U-Shaped Bays

The Momentum Conserving Scheme for Two-Layer Shallow Flows

Wall Pressures In a Channel Flow Obstructed By a Line of Inclined Rods: Invariant Groups and Semi-Empirical Correlations

Contact Info

Product

Resources

About