The Momentum Conserving Scheme for Two-Layer Shallow Flows

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 t...

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Bibliographic Details
Published inFluids (Basel) Vol. 6; no. 10; p. 346
Main Authors Swastika, Putu Veri, Pudjaprasetya, Sri Redjeki
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.10.2021
Subjects
Approximation
Channels
conservative scheme
Damping
Flow rates
Flow velocity
Fluid dynamics
Interfaces
Mathematical models
maximal exchange flow
Momentum
Physical simulation
Propagation
Shallow water
Shallow water equations
Steady flow
two-layer shallow water system
Indian Ocean
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Summary: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.
ISSN:2311-5521
2311-5521
DOI:10.3390/fluids6100346