Two-Dimensional Bed Variation Models Under Non-equilibrium Conditions in Turbulent Streams

2022

Teknik Dergi

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Solute transport problems, including sequential multi-species transport phenomena, frequently occur in soil systems. The goal of this paper is to present a novel onedimensional numerical model with a fully implicit form of differential quadrature method for solving multi-species solute transport equations. The analytical results of three multispecies solute dispersion problems with three-and four-chain members are used to analyze the developed model. Simultaneously, the outcomes of the developed model are compared with the performance of the fully implicit fourth-order finite difference method. Finally, the accuracy of the established model is discussed and evaluated. According to the numerical experiments, the derived model is very useful and widely applicable.

Section: Introductionmentioning

confidence: 99%

Fully Implicit Form of Differential Quadrature Method for Multi-Species Solute Transport in Porous Media

2022

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“…Fortunately, one of the effective and powerful ways to investigate in this field is numerical method. With dramatic developments that have occurred during recent decades in the field of computer science and mathematics, novel numerical techniques have been developed (Gharehbaghi et al 2017, Saadatnejadgharahassanlou et al 2020. The finite volume method (FVM) is one of the most widely used numerical techniques in engineering and science.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of groundwater flow based on explicit and fully implicit schemes of finite volume method

DALKILIÇ¹,

JER is an international, peer-reviewed journal that publishes f

2021

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This paper documents a novel numerical model for calculating the behavior of unsteady, one-dimensional groundwater flow by using the finite volume method. The developed model determined water table fluctuations for different scenarios as follows: Drainage and recession from an unconfined aquifer, and water table fluctuations above an inclined leaky layer due to ditch recharge with a constant and variable upper boundary condition. The Boussinesq equation, which is the governing equation in this domain, is linearized and solved numerically in both of the explicit and fully implicit conditions. Meanwhile, the upwind scheme is employed to discretize the governing equation. The computed outcomes of both the explicit and implicit approaches agreed well with the results of analytical solution and laboratory experiments. The main reason is that in the first half of simulation process explicit scheme obtains slightly better results and in the second half of the simulation process fully implicit scheme predicts more reliable outcomes that are hidden in the neighbor node points. As a final point, the numerical outcomes confirm that the developed model is capable of calculating satisfactory outcomes in engineering and science applications.

Application of data-driven models to predict the dimensions of flow separation zone

Ghasemlounia

Latif

et al. 2023

Environ Sci Pollut Res

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In this research, the effect of a submerged multiple-vane system on the dimensions of flow separation zone (DFSZ) is assessed via 192 measured datasets. The vanes’ shape comprised two segments, curved and flat plates which are located in the connection of main channel to the lateral intake channel with an angle of 55°. In this direction, a butterfly’s array for the vanes’ arrangement along with different main controlling factors such as distances of vanes along the flow ( δ l ), degree of curvature ( β ), and angles of attack to the local primary flow direction ( θ ) is utilized. Through capturing photos and utilizing AutoCAD and SURFER software, maximum relative length and width are calculated. Based on the experimental measurements, maximum percentage reduction of DFSZ, in comparison with the controlled test (without submerged vanes), is obtained with θ = 30°, β = 34°, and δ l = 10 cm with value of 78 and 76%, respectively. Moreover, several data-driven models, namely, gene expression programming (GEP), support vector regression (SVR), and a robust hybrid SVR with an ant colony optimization algorithm (ACO) (i.e., hybrid SVR-ACO model), are developed in order to predict DFSZ via the operative dimensionless variables realized by Spearman’s rho and Pearson’s coefficient processes. In accordance with the statistical metrics, model grading process, scatter plot, and the hybrid SVR(RBF)-ACO model are preferred as the best and most precise model to predict maximum relative length and width with a total grade ( TG ) of 6.75 and 5.8, respectively. The generated algebraic formula for DFSZ under the optimal scenario of GEP is equated with the corresponding measured ones and the results are within 0–10%.