A High-Resolution Characteristics-Based Implicit Dual Time-Stepping VOF Method for Free Surface Flow Simulation on Unstructured Grids

Zhao, Yong; Tan, Hsiang Hui; Zhang, Baili

doi:10.1006/jcph.2002.7196

Cited by 80 publications

(62 citation statements)

References 31 publications

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“…Although a possible solution for applying the technique on unstructured meshes has appeared recently [43], its accuracy is still not sufficient for practical applications in engineering.…”

Section: Vof Interface Tracking Methodsmentioning

confidence: 48%

Modelling the interfacial flow of two immiscible liquids in mixing processes

Tang

Wrobel

2005

International Journal of Engineering Science

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This paper presents an interface tracking method for modelling the flow of immiscible metallic liquids in mixing processes. The methodology can provide an insight into mixing processes for studying the fundamental morphology development mechanisms for immiscible interfaces. The volume-of-fluid (VOF) method is adopted in the present study, following a review of various modelling approaches for immiscible fluid systems. The VOF method employed here utilises the piecewise linear for interface construction scheme as well as the continuum surface force algorithm for surface force modelling. A model coupling numerical and experimental data is established. The main flow features in the mixing process are investigated. It is observed that the mixing of immiscible metallic liquids is strongly influenced by the viscosity of the system, shear forces and turbulence. The numerical results show good qualitative agreement with experimental results, and are useful for optimisating the design of mixing casting processes.

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“…Although a possible solution for applying the technique on unstructured meshes has appeared recently [43], its accuracy is still not sufficient for practical applications in engineering.…”

Section: Vof Interface Tracking Methodsmentioning

confidence: 48%

Modelling the interfacial flow of two immiscible liquids in mixing processes

Tang

Wrobel

2005

International Journal of Engineering Science

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“…Insofar as the two-phase fluid solver is formulated following an immersed-based approach, the physical properties of the two fluids are smoothed across the sharp interface. This problem has been thoroughly studied at experimental 69,70 and numerical [71][72][73][74] levels, and it is widely used by the scientific community for the benchmarking of new algorithms.…”

Section: Classical Dam Break Problemmentioning

confidence: 46%

Unified one‐fluid formulation for incompressible flexible solids and multiphase flows: Application to hydrodynamics using the immersed structural potential method (ISPM)

Yang

Gil

Carreño

et al. 2017

Numerical Methods in Fluids

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SummaryIn this paper, we present a two-dimensional computational framework for the simulation of fluid-structure interaction problems involving incompressible flexible solids and multiphase flows, further extending the application range of classical immersed computational approaches to the context of hydrodynamics. The proposed method aims to overcome shortcomings such as the restriction of having to deal with similar density ratios among different phases or the restriction to solve single-phase flows.First, a variation of classical immersed techniques, pioneered with the immersed boundary method (IBM), is presented by rearranging the governing equations, which define the behaviour of the multiple physics involved. The formulation is compatible with the "one-fluid" formulation for two-phase flows and can deal with large density ratios with the help of an anisotropic Poisson solver. Second, immersed deformable structures and fluid phases are modelled in an identical manner except for the computation of the deviatoric stresses. The numerical technique followed in this paper builds upon the immersed structural potential method developed by the authors, by adding a level set-based method for the capturing of the fluid-fluid interfaces and an interface Lagrangian-based meshless technique for the tracking of the fluid-structure interface. The spatial discretisation is based on the standard marker-and-cell method used in conjunction with a fractional step approach for the pressure/velocity decoupling, a second-order time integrator, and a fixed-point iterative scheme. The paper presents a wide d range of two-dimensional applications involving multiphase flows interacting with immersed deformable solids, including benchmarking against both experimental and alternative numerical schemes.

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“…[20]). Невязка в узле сетки (в центре контрольного объема) заменяется сглаженным средним или взвешенносредним невязок в соседних узлах сетки.…”

Section: сглаживание невязкиunclassified

“…[20]) (10) где R -исходная невязка, -сглаженная невязка. Сглаживающий параметр вычисляется по формуле (см.…”

Section: сглаживание невязкиunclassified

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Предобусловливание Уравнений Навье–Стокса В Расчетах Свободно-Конвективных Течений

Волков¹,

Емельянов²,

Карпенко³

2015

Ж. вычисл. мат. и мат. физ.

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Поступила в редакцию 11.03.2014 г.Рассматриваются особенности моделирования свободно конвективных течений вязкого сжимаемого газа на основе полных уравнений Навье-Стокса. Обсуждается конечно объем ная дискретизация уравнений Навье-Стокса при малых числах Маха. Для стабилизации чис ленных расчетов применяется метод предобусловливания, основанный на использовании физических переменных, и метод двойных шагов по времени, связанный с введением внут ренних итераций по искусственному времени. Возможности подхода демонстрируются на примере моделирования свободной конвекции в зазоре между коаксиальными цилиндрами. Библ. 27. Фиг. 13.Ключевые слова: предобусловливание, метод конечных объемов, метод двойных шагов по времени, газовая динамика, свободная конвекция, уравнения Навье-Стокса.

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A High-Resolution Characteristics-Based Implicit Dual Time-Stepping VOF Method for Free Surface Flow Simulation on Unstructured Grids

Cited by 80 publications

References 31 publications

Modelling the interfacial flow of two immiscible liquids in mixing processes

Modelling the interfacial flow of two immiscible liquids in mixing processes

Unified one‐fluid formulation for incompressible flexible solids and multiphase flows: Application to hydrodynamics using the immersed structural potential method (ISPM)

Предобусловливание Уравнений Навье–Стокса В Расчетах Свободно-Конвективных Течений

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