An anti‐diffusive volume of fluid method for interfacial fluid flows

Chen, Y. G.; Price, W.G.; Temarel, P.

doi:10.1002/fld.2509

Cited by 9 publications

(4 citation statements)

References 29 publications

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“…In the process of grouting, the grout drives out air or groundwater, which should be treated as a two-phase flow [4]. The accurate description of the interface between two kinds of incompatible and incompressible fluids is one of the most important issues in multi-fluid flow computations [39], this can be solved by the VOF method which is proposed by Hirt and Nichols [40] to track free fluid surfaces under fixed grid condition. Therefore, the VOF method is used to keep track of the grout-air interface in this paper.…”

Section: Computational Fluid Dynamics (Cfd) Grouting Numerical Modelmentioning

confidence: 99%

Grouting Process Simulation Based on 3D Fracture Network Considering Fluid–Structure Interaction

et al. 2019

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Grouting has always been the main engineering measure of ground improvement and foundation remediation of hydraulic structures. Due to complex geological conditions and the interactions between the grout and the fractured rock mass, which poses a serious challenge to the grouting diffusion mechanism analysis, fracture grouting has been a research hotspot for a long time. In order to throw light on the grout diffusion process in the fractured rock mass and the influence of grout on the fracture network, and to achieve more realistic grouting numerical simulation, in this paper a grouting process simulation approach considering fluid–structure interaction is developed based on the 3D fractured network model. Firstly, the relationship between fracture apertures and trace lengths is used to obtain a more realistic value of fracture aperture; then a more reliable model is established; subsequently, based on the 3D fracture network model, different numerical models are established to calculate fluid dynamics (grout) and structure deformation (fractured rock mass), and the results are exchanged at the fluid–structure interface to realize the grouting process simulation using two-way fluid-structure interaction method. Finally, the approach is applied to analyze the grouting performance of a hydropower station X, and the results show that the grouting simulation considering fluid–structure interaction are more realistic and can simultaneously reveal the diffusion of grout and the deformation of fracture, which indicates that it is necessary to consider the effect of fluid–structure interaction in grouting simulation. The results can provide more valuable information for grouting construction.

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Section: Computational Fluid Dynamics (Cfd) Grouting Numerical Modelmentioning

confidence: 99%

Grouting Process Simulation Based on 3D Fracture Network Considering Fluid–Structure Interaction

et al. 2019

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“…The VOF method was firstly proposed by Hirt and Nichols (1981). It is an effective way of treating free surfaces and is suitable for tracking calculations between the interfaces of two or more mutually non-penetrating fluids (Montagna et al, 2011;Chen et al, 2012;Marsooli and Wu, 2015). In each unit, the variables can represent either a single phase or multiple phases.…”

Section: Control Equationmentioning

confidence: 99%

Dynamic visualisation of storm surge flood routing based on three‐dimensional numerical simulation

Liu

Zhong

Tong

et al. 2016

J Flood Risk Management

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“…While most of these papers use the Cartesian cut-cell method to model simple obstacles, an implementation on 3D unstructured meshes is needed for more complex geometries. This is lacking in the current literature, but other multiphase artificial compressibility methods have been implemented on unstructured meshes, both 2D [41,42,43,44] and 3D [45,46,47,15,48], as well as structured meshes [13,49,50,51,52,53,54,55,56,57,58,59,60]. Consequently, there is room for further developing multiphase artificial compressibility methods on unstructured meshes, especially for investigating the limiter convergence problem only briefly hinted at by [48].…”

Section: Introductionmentioning

confidence: 99%

Artificial Compressibility with Riemann Solvers: Convergence of Limiters on Unstructured Meshes

2022

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Free-surface flows and other variable density incompressible flows have numerous important applications in engineering.One way such flows can be modelled is to extend established numerical methods for compressible flows to incompressible flows using the method of artificial compressibility. Artificial compressibility introduces a pseudo-time derivative for pressure and, in each real-time step, the solution advances in pseudo-time until convergence to an incompressible limit - a fundamentally different approach than SIMPLE, PISO, and PIMPLE, the standard methods used in OpenFOAM. Although the artificial compressibility method is widespread in the literature, its application to free-surface flows is not. In this paper, we apply the method to variable density flows on 3D unstructured meshes for the first time, implementing a Godunov-type scheme with MUSCL reconstruction and Riemann solvers, where the free surface gets captured automatically by the contact wave in the Riemann solver. The critical problem in this implementation lies in the slope limiters used in the MUSCL reconstruction step. It is well-known that slope limiters can inhibit convergence to steady state on unstructured meshes; the problem is exacerbated here as convergence in pseudo-time is required not just once, but at every real-time step. We compare the limited gradient schemes included in OpenFOAM with an improved limiter from the literature, testing the solver against dam-break and hydrostatic pressure benchmarks. This work opens OpenFOAM up to the method of artificial compressibility, breaking the mould of PIMPLE and harnessing high-resolution shock-capturing schemes that are easier to parallelise.

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An anti‐diffusive volume of fluid method for interfacial fluid flows

Cited by 9 publications

References 29 publications

Grouting Process Simulation Based on 3D Fracture Network Considering Fluid–Structure Interaction

Grouting Process Simulation Based on 3D Fracture Network Considering Fluid–Structure Interaction

Dynamic visualisation of storm surge flood routing based on three‐dimensional numerical simulation

Artificial Compressibility with Riemann Solvers: Convergence of Limiters on Unstructured Meshes

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