Interactions of breaking waves with a current over cut cells

Li, Tingqiu; Troch, Peter; Rouck, Julien De

doi:10.1016/j.jcp.2006.10.003

Cited by 13 publications

(7 citation statements)

References 52 publications

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“…Fig. 2 shows that time history of computed surface elevation at WG2 and WG4 is in good agreement with measurements of Li et al (2007). The small discrepancy at WG4 may be due to the 3-D effect of highly nonlinear waves at WG4 (Li et al, 2007), characterised by a gradual peaking of crests, flattening of troughs and pitching forward to the sea dike.…”

Section: Surface Elevationsupporting

confidence: 63%

“…The experiment of wave overtopping over a smooth impermeable dike with a 1:6 seaward slope described by Li et al (2007) was used to validate the RANS-VOF model. Regular waves with a wave height H = 0.16 m and wave period T = 2.0 s was generated by an internal wave-maker, placed at x = −6.1 m with a water depth at the toe of structures of 0.7 m (Fig.…”

Section: Surface Elevationmentioning

confidence: 99%

“…Recently, the RANS-VOF model was used widely to simulate wave-structure interaction (Garcia et al, 2004;Lara et al, 2006;Losada et al, 2008;Reeve et al, 2008). This model will be validated by the case of wave overtopping over a smooth impermeable dike with a 1:6 seaward slope (Li et al, 2004;Shao et al, 2006;Li et al, 2007;Ingram et al, 2009). Lin and Liu (1999) was used to generate regular and irregular waves.…”

Section: Introductionmentioning

confidence: 99%

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Spatial distribution of wave overtopping water behind coastal structures

Peng

Zou

2011

Coastal Engineering

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Section: Surface Elevationsupporting

confidence: 63%

Section: Surface Elevationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spatial distribution of wave overtopping water behind coastal structures

Peng

Zou

2011

Coastal Engineering

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“…Multiphase flow is a highly complex multi-scale nonlinear phenomenon, which is encountered in various applications ranging from small-scale droplet interactions [1], microstructural phase evolution in materials [2], flows in oil and natural gas pipelines [3] to large scale free-surface ocean waves and wave breaking [4]. Such kinds of fluid flows can be quite complex to understand and analyze via physical experiments and theoretical ways.…”

Section: Introductionmentioning

confidence: 99%

An adaptive variational procedure for the conservative and positivity preserving Allen–Cahn phase-field model

Joshi

Jaiman

2018

Journal of Computational Physics

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In this paper, we present an adaptive variational procedure for unstructured meshes to capture fluid-fluid interfaces in two-phase flows. The two phases are modeled by the phase-field finite element formulation, which involves the conservative Allen-Cahn equation coupled with the incompressible Navier-Stokes equations. The positivity preserving variational formulation is designed to maintain the bounded and stable solution of the Allen-Cahn equation. For the adaptivity procedure, we consider the residual-based error estimates for the underlying differential equations of the two-phase system. In particular, the adaptive refinement/coarsening is carried out by the newest vertex bisection algorithm by evaluating the residual error indicators based on the error estimates of the Allen-Cahn equation. The coarsening algorithm avoids the storage of the tree data structures for the hierarchical mesh, thus providing the ease of numerical implementation. Furthermore, the proposed nonlinear adaptive partitioned procedure aims at reducing the amount of coarsening while maintaining the convergence properties of the underlying nonlinear coupled differential equations. We investigate the adaptive phase-field finite element scheme through the spinodal decomposition in a complex curved geometry and the volume-conserved interface motion driven by the mean curvature flow for two circles in a square domain. We then assess the accuracy and efficiency of the proposed procedure by modeling the free-surface motion in a sloshing tank. In contrast to the non-adaptive Eulerian grid counterpart, we demonstrate that the mesh adaptivity remarkably reduces the degrees of freedom and the computational cost by nearly half for similar accuracy. The mass loss in the Allen-Cahn equation via adaptivity process is also reduced by nearly three times compared to the non-adaptive mesh. Finally, we apply the adaptive numerical framework to solve the application of a dam-breaking problem with topological changes.

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“…In their model, a wave-maker is established at the inflow boundary by prescribing the inflow velocities, while the current field is gradually introduced in the entire fluid region. Li et al (2007) presented a NS solver using a finite-volume scheme, the volume of fluid (VOF) method and the SGS turbulence model for the interactions between breaking waves and the current over a cut-cell grid. In the case of waves following the current, an external 3 generator combining the inflow motions of the waves and the current is applied at the inflow boundary.…”

Section: Introductionmentioning

confidence: 99%