Application of the LBM with adaptive grid on water hammer simulation

Budinski, Ljubomir

doi:10.2166/hydro.2016.164

Cited by 6 publications

(2 citation statements)

References 12 publications

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“…The LBM was considered by Cheng et al [117] for unsteady flow, and later a practical and simple implementation was carried out by Wu et al [118]. Budinski [119] modelled a one-dimensional water hammer using the LBM, in which the grid was independent of the Courant number. To achieve this, the governing equations were transformed using an alternative coordinate system suitable for an adaptive grid.…”

Section: Lagrangian-based Numerical Methodsmentioning

confidence: 99%

An Overview of the Numerical Approaches to Water Hammer Modelling: The Ongoing Quest for Practical and Accurate Numerical Approaches

Pal

Hanmaiahgari

Karney

2021

Water

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Here, recent developments in the key numerical approaches to water hammer modelling are summarized and critiqued. This paper summarizes one-dimensional modelling using the finite difference method (FDM), the method of characteristics (MOC), and especially the more recent finite volume method (FVM). The discussion is briefly extended to two-dimensional modelling, as well as to computational fluid dynamics (CFD) approaches. Finite volume methods are of particular note, since they approximate the governing partial differential equations (PDEs) in a volume integral form, thus intrinsically conserving mass and momentum fluxes. Accuracy in transient modelling is particularly important in certain (typically more nuanced) applications, including fault (leakage and blockage) detection. The FVM, first advanced using Godunov’s scheme, is preferred in cases where wave celerity evolves over time (e.g., due to the release of air) or due to spatial changes (e.g., due to changes in wall thickness). Both numerical and experimental studies demonstrate that the first-order Godunov’s scheme compares favourably with the MOC in terms of accuracy and computational speed; with further advances in the FVM schemes, it progressively achieves faster and more accurate codes. The current range of numerical methods is discussed and illustrated, including highlighting both their limitations and their advantages.

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Section: Lagrangian-based Numerical Methodsmentioning

confidence: 99%

An Overview of the Numerical Approaches to Water Hammer Modelling: The Ongoing Quest for Practical and Accurate Numerical Approaches

Pal

Hanmaiahgari

Karney

2021

Water

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“…LBM provides an alternative approach for the fluid simulation besides the traditional finite element analysis methods. Because of its clear physical process and easy calculation, it has been widely used in complex fluid simulations (Fu et al , 2016; Kruggel-Emden et al , 2016; He and Tang, 2016; Lai and Ma, 2010; Budinski, 2016; Tang et al , 2016), even in the non-Newtonian fluids, and in non-Newtonian flow simulation, the relaxation time changes along with the local viscosity. It is well known that the stability and accuracy would be better when keeping the relaxation time in the range of 0.5 to 1 (Niu et al , 2004).…”

Section: Introductionmentioning

confidence: 99%

A modified LBM for non-Newtonian effect of cement paste flow in 3D printing

Huang

et al. 2019

RPJ

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Purpose The screw extruder is applied in cement-three-dimensional (3D) printing. The cement paste flow in 3D printing is the typical Herschel–Bulkley fluid. To understand the flow in the channel, the improved lattice Boltzmann method (LBM) is proposed. Design/methodology/approach For Herschel–Bulkley flow, an improved LBM is presented to avoid the poor stability and accuracy. The non-Newtonian effect is regard as a special forcing term. The Poiseuille flow is taken to discuss the detailed process of the method. With the method, the analytical solution and numerical solution are obtained and compared. Then, the effect of the initial yield stress on the numerical solution is both explored by the shear-thickening fluid and the shear-thinning fluid. Moreover, the variations of the relative errors under different lattice nodes and different power-law indexes are analyzed. Finally, the method is applied into the simulation of the flow in the extruder of cement-3D printing. Findings The results show that the improved method is effective for Herschel–Bulkley fluids, which can simulate the flow in the extruder stably and accurately. Practical implications The simulation can contribute to understand the cement paste flow in the screw extruder, which helps to optimize the structure of the extruder in the following periods. Originality/value The improve method provide a new way to analyze the flow in the extruder of cement-3D printing. Also, in the past research, LBM for Herschel–Bulkley fluid is ignored, whereas the study can provide the reference for the numerical simulation.

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Lattice Boltzmann models for hydraulic engineering problems

Badarch¹,

Hosoyamada²

2023

Handbook of Hydroinformatics

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Application of the LBM with adaptive grid on water hammer simulation

Cited by 6 publications

References 12 publications

An Overview of the Numerical Approaches to Water Hammer Modelling: The Ongoing Quest for Practical and Accurate Numerical Approaches

An Overview of the Numerical Approaches to Water Hammer Modelling: The Ongoing Quest for Practical and Accurate Numerical Approaches

A modified LBM for non-Newtonian effect of cement paste flow in 3D printing

Lattice Boltzmann models for hydraulic engineering problems

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