Solute transport in shallow water flows using the coupled curvilinear Lattice Boltzmann method

Budinski, Ljubomir

doi:10.1016/j.jhydrol.2019.03.094

Cited by 3 publications

(1 citation statement)

References 39 publications

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“…This interest is because of the relevance of these problem formulations to many real‐world problems. For example, the problems of blowing ventilation of rooms and tunnels, 1 transport and control of environmental pollution in fluid, 2 flows in pipes, 3,4 vocal tract modeling 5 and other problems can describe as flows of inviscid fluid in channels. To understands many hydrodynamic processes in complex channels allows analytical and numerical analysis of inviscid incompressible fluid flows mathematical models 6‐9 …”

Section: Introductionmentioning

confidence: 99%

An extended and improved particle‐spectral method for analysis of unsteady inviscid incompressible flows through a channel of finite length

Говорухин

2022

Numerical Methods in Fluids

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This paper addresses the development of a method to simulate and analyze unsteady flows of incompressible and inviscid fluids in rectangular channels. Mathematically, the flow problem formulates as Euler equations in terms of the stream function and vorticity. The normal velocity and the vorticity aregiven at the inlet of the channel, and only the normal velocity is specified at the outlet. The particle-spectral method describes the vorticity field change in a Lagrangian sense by dynamics of marker particles and an Eulerian description of the velocity field using the global Galerkin approximation. The method involves the subdivision of flow domain on rectangular cells; the approximation of vorticity distribution in cells by least-squares method; Galerkin coefficients calculation using analytical integration on space variables. For time integration, the five-stage Runge-Kutta method of the third accuracy order and the sixth one of symplecticity with adaptive step size control uses. The extension of the particle-spectral approach comprises algorithms for fluid flows qualitative analysis jointly with the time simulation of unsteady flows. This includes the trajectories of marker particles calculation, computing the particle's residence time in the channel, kinetic energy dynamics, and algorithms for analyzing the dynamics and mixing of vortex patches. Test calculations based on reference solutions showed the effectiveness and good accuracy of the particle-spectral approach. Using the developed method the dynamics of one and two initial vortex patches in the channel were investigated. We found the final state of their long-time dynamics is time-periodic or quasi-periodic movements. The application of qualitative analysis algorithms demonstrates these final states produce a chaotic scattering of fluid particles in the flow-through zone of the channel. K E Y W O R D Sflowing through channel, inviscid incompressible fluid, particle-spectral method, vortex dynamics

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Section: Introductionmentioning

confidence: 99%

An extended and improved particle‐spectral method for analysis of unsteady inviscid incompressible flows through a channel of finite length

Говорухин

2022

Numerical Methods in Fluids

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Sediment transport and morphological changes in shallow flows modelled with the lattice Boltzmann method

Stipić

Budinski

Fabian

2022

Journal of Hydrology

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Influence of Water Saturation on Adsorption Behavior at Liquid-Liquid Interfaces in Unsaturated Porous Media

Zhu,

Cui,

et al. 2023

Geofluids

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Adsorption reaction in unsaturated porous media is of great importance for soil and groundwater remediation. In this study, the influence of the Peclet number (Pe) and water saturation on adsorption behavior at liquid-liquid interfaces was quantitatively investigated. The pore-scale reactive transport in unsaturated porous media was directly simulated. The Navier-Stokes equations, the surface transfer and adsorption reaction equations, and the advection-diffusion equation (ADE) were coupled to obtain the flow and concentration fields. The results showed that water saturation had a significant influence on the complexity of the flow field. A nonmonotonic relationship was found between water saturation and the uniformity of the flow field. Peclet number had little influence on the maximum adsorption. On the other hand, the adsorption time showed a nearly linear relationship with the Peclet number and increased with increasing Peclet number. Additionally, a nonlinear relationship was found between water saturation and the maximum adsorption. As water saturation increased, the maximum adsorption tended to increase to a peak and then decrease. The peak of the maximum adsorption occurred at Pe = 5 , S w = 0.458 , and the shortest adsorption time was observed at S w = 0.902 . However, the difference in adsorption times for saturations of 0.458 and 0.698 was not significant and was only about 20 PV difference.

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Solute transport in shallow water flows using the coupled curvilinear Lattice Boltzmann method

Cited by 3 publications

References 39 publications

An extended and improved particle‐spectral method for analysis of unsteady inviscid incompressible flows through a channel of finite length

An extended and improved particle‐spectral method for analysis of unsteady inviscid incompressible flows through a channel of finite length

Sediment transport and morphological changes in shallow flows modelled with the lattice Boltzmann method

Influence of Water Saturation on Adsorption Behavior at Liquid-Liquid Interfaces in Unsaturated Porous Media

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