Numerical simulation of unsteady multidimensional free surface motions by level set method

Yue, Wusi; Lin, Ching‐Long; Patel, V. C.

doi:10.1002/fld.555

Cited by 113 publications

(67 citation statements)

References 59 publications

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“…In the Eulerian 1 Manuscript formulation, the computational mesh is fixed and the fluid moves relative to it (see, for example, [1] - [4]). Use of this formulation can handle, with relative ease, the large distortions of interfaces between two different materials by employing proper interface capturing techniques (such as volume of fluids, level set method and so forth) but possibly at the expense of solving a larger domain than necessary, solving an extra governing equation and smearing the interfaces and flow details near the interfaces.…”

Section: Introductionmentioning

confidence: 99%

Quasi ALE finite element method for nonlinear water waves

W.¹,

Yan²

2006

Journal of Computational Physics

100

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent repository link: AbstractThis paper presents a newly developed quasi arbitrary Lagrangian-Eulerian finite element method (QALE-FEM) for simulating water waves based on fully nonlinear potential theory. The main difference of this method from the conventional finite element method developed by one of authors of this paper and others (see, e.g., [11] and [22]) is that the complex mesh is generated only once at the beginning and is moved at all other time steps in order to conform to the motion of the free surface and structures. This feature allows one to use an unstructured mesh with any degree of complexity without the need of regenerating it every time step, which is generally inevitable and very costly. Due to this feature, the QALE-FEM has high potential in enhancing computational efficiency when applied to problems associated with the complex interaction between large steep waves and structures since the use of an unstructured mesh in such a case is likely to be necessary. To achieve overall high efficiency, the numerical techniques involved in the QALE-FEM are developed, including the method to move interior nodes, technique to re-distribute the nodes on the free surface, scheme to calculate velocities and so on. The model is validated by water waves generated by a wavemaker in a tank and the interaction between water waves and periodic bars on the bed of tank. Satisfactory agreement is achieved with analytical solutions, experimental data and numerical results from other methods.

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Section: Introductionmentioning

confidence: 99%

Quasi ALE finite element method for nonlinear water waves

W.¹,

Yan²

2006

Journal of Computational Physics

100

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“…However, due to complex characteristics of pore geometry, the pore meshing process should be carried out by CutCell [63] or Delaunay triangulation [64] technology automatically. The free surface can be captured by the Level Set [65] or VOF (volume of fluid) method [66]. The Level Set method can obtain a two-phase interface with high accuracy but cannot guarantee the conservation of the tracked fluid.…”

Section: Navier-stokes Equation-based Interface Capturing Methodsmentioning

confidence: 99%

Advances in Pore-Scale Simulation of Oil Reservoirs

Wang

et al. 2018

Energies

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Abstract:At the high water cut stage, the residual oil in a reservoir becomes complex and dispersed. Moreover, it is challenging to achieve good predictions of the movement of oil and water in a reservoir according to the macroscopic models based on the statistic parameters of this scenario. However, pore-scale simulation technology based on directly tracking the interaction among different phases can make an accurate prediction of the fluid distribution in the pore space, which is highly important in the improvement of the recovery rate. In this work, pore-scale simulation methods, including the pore network model, lattice Boltzmann method, Navier-Stokes equation-based interface tracking methods, and smoothed particle hydrodynamics, and relevant technologies are summarized. The principles, advantages, and disadvantages, as well as the degree of difficulty in the implementation are analyzed and compared. Problems in the current simulation technologies, micro sub-models, and applications in physicochemical percolation are also discussed. Finally, potential developments and prospects in this field are summarized.

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“…(22) are solved simultaneously. The third-order ENO scheme (20) is used to compute the advection of G, and the second-order ENO scheme of Yue et al (21) is used for the re-initialization of G. Figure 2 shows the schematic of the computational domain. The computational domain is a square with streamwise length of L x = 0.075m and the spanwise length of L y = 0.060m.…”

Section: Numerical Methods and Numerical Conditionsmentioning

confidence: 99%

Flamelet Characteristics of Gaseous and Spray Lifted Flames on Two-Dimensional Direct Numerical Simulations

Baba

Kurose

2008

JFST

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The detailed behaviors of gaseous and spray lifted flames are studied by twodimensional direct numerical simulations (DNS), and the characteristics of the flamelets are investigated in terms of two key variables for flamelet modeling, namely mixture fraction and scalar G. The results show that both the gaseous and spray lifted flames are partially premixed flames, in which premixed and diffusion flames co-exist and the premixed flame stabilizing the flames precedes to the diffusion flame. The noncombusting and combusting regions can be generally discriminated by the scalar G, and the premixed and diffusion flames in the combusting region can be predicted by flame index, respectively. Although the flamelets in the diffusion flame of the gaseous lifted flame are characterized by the mixture fraction and scalar dissipation rate, those on the spray lifted flame are not. To account for the flamelet characteristics of the spray lifted flame, flamelet/progress-variable approach needs to be introduced.

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Numerical simulation of unsteady multidimensional free surface motions by level set method

Cited by 113 publications

References 59 publications

Quasi ALE finite element method for nonlinear water waves

Quasi ALE finite element method for nonlinear water waves

Advances in Pore-Scale Simulation of Oil Reservoirs

Flamelet Characteristics of Gaseous and Spray Lifted Flames on Two-Dimensional Direct Numerical Simulations

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