Lagrangian finite-difference method for predicting green water loadings

Bašić, Josip; Degiuli, Nastia; Malenica, Šime; Ban, Dario

doi:10.1016/j.oceaneng.2020.107533

Cited by 20 publications

(19 citation statements)

References 48 publications

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“…In the latter, if unsteady and broken flow can be observed on the deck (see the snapshots in Figure 16 and in [4]), then the application of numerical models, rather than analytical models, could be used for detailed research. Although mesh-based Computational Fluid Dynamics (CFD) approaches are popular tools for fluid-structure interaction simulations, including green water (e.g., [38,57,[75][76][77][78][79]), progress in CFD methods based on particles (e.g., [37,51,[80][81][82][83]) could be a useful alternative, due to their ability to simulate large deformations and breaking flows [84]. A comprehensive review of these methods can be found in [85].…”

Section: Some Challenges In Assessing Green Water Propagationmentioning

confidence: 99%

On the Evolution of Different Types of Green Water Events

Hernández-Fontes

Hernández

Mendoza

et al. 2021

Water

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Green water events may present different features in the initial stage of interaction with the deck of a structure. It is therefore important to investigate the evolution of different types of green water, since not all the events interact with the deck at the same time. In this paper, the evolution of three types of green water events (dam-break, plunging-dam-break, and hammer-fist) are studied. The water surface elevations and volumes over the deck in consecutive green water events, generated by incident [wave trains in a wave flume, were analyzed using image-based methods. The results show multiple-valued water surface elevations in the early stage of plunging-dam-break and hammer-fist type events. Detailed experimental measurements of this stage are shown for the first time. The effect of wave steepness on the duration of the events, maximum freeboard exceedance, and volumes were also investigated. Although the hammer-fist type showed high freeboard exceedances, the plunging-dam-break type presented the largest volumes over the deck. Some challenges for further assessments of green water propagation are reported.

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Section: Some Challenges In Assessing Green Water Propagationmentioning

confidence: 99%

On the Evolution of Different Types of Green Water Events

Hernández-Fontes

Hernández

Mendoza

et al. 2021

Water

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“…This so-called Lagrangian differencing only accounts for a small number of immediate neighboring nodes [36], because a high accuracy is guaranteed due to the renormalization, which is introduced below. Consequently, the introduced method is more efficient when compared to classical SPH and MPS methods [36,38], which often employ a large compact radius to encapsulate a large number of neighbors because the convergence requirements of SPH approximation include particle spacing ∆ → 0, and ratio h/∆ → 0 [36]. In the LDD method, only the nearest neighbors need to be accounted for; therefore, h/∆ is taken as 1.6, significantly below the SPH standards.…”

Section: Lagrangian Differencingmentioning

confidence: 99%

“…which points from x i to the point where the arrangement of the neighborhood dominates. Bašić et al [38] have shown that the renormalization process enhances the operator when approximating a scalar field Laplacian, and that it is responsible for reaching second-order accuracy when solving Poisson problems, while the original SPH and MPS formulations yield first-order accuracy. This operator is a crucial ingredient in discretizing the pressure and velocity equations.…”

Section: Lagrangian Differencingmentioning

confidence: 99%

“…The general impact of the term ∇ • ∇ • τ on the pressure and velocity will be analyzed in future work. The PPE was solved using the BiCGStab iterative solver in the matrix-free manner, as described by Bašić et al [38]. After solving the PPE ( 17), the pressure gradient may be explicitly calculated using Equation ( 14), and the results may be substituted into the momentum Equation ( 1).…”

Section: Numerical Solvermentioning

confidence: 99%

“…This success promoted the idea of applying the LDD to simulate a wide range of non-Newtonian materials in this work. The LDD method relies on second-order consistent operators introduced by Basic et al [37], and extends the scheme introduced by Bašić et al [38]. The scheme solves the Navier-Stokes equations (NSE) using the split-step approach, where the pressure field is solved implicitly, and the velocity is solved explicitly.…”

Section: Introductionmentioning

confidence: 99%

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Lagrangian Differencing Dynamics for Time-Independent Non-Newtonian Materials

et al. 2021

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This paper introduces a novel meshless and Lagrangian approach for simulating non-Newtonian flows, named Lagrangian Differencing Dynamics (LDD). Second-order-consistent spatial operators are used to directly discretize and solve generalized Navier–Stokes equations in a strong formulation. The solution is obtained using a split-step scheme, i.e., by decoupling the solutions of the pressure and velocity. The pressure is obtained by solving a Poisson equation, and the velocity is solved in a semi-implicit formulation. The matrix-free solution to the equations, and Lagrangian advection of mesh-free nodes allowed for a fully parallelized implementation on the CPU and GPU, which ensured an affordable computing time and large time steps. A set of four benchmarks are presented to demonstrate the robustness and accuracy of the proposed formulation. The tested two- and three-dimensional simulations used Power Law, Casson and Bingham models. An Abram slump test and a dam break test were performed using the Bingham model, yielding visual and numerical results in accordance with the experimental data. A square lid-driven cavity was tested using the Casson model, while the Power Law model was used for a skewed lid-driven cavity test. The simulation results of the lid-driven cavity tests are in good agreement with velocity profiles and stream lines of published reports. A fully implicit scheme will be introduced in future work. As the method precisely reproduces the pressure field, non-Newtonian models that strongly depend on the pressure will be validated.

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Point Cloud Generation for Meshfree Methods: An Overview

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Davydov

2022

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Meshfree methods are becoming an increasingly popular alternative to mesh-based methods of numerical simulation. The biggest stated advantage of meshfree methods is the avoidance of generating a mesh on the computational domain. However, even today a surprisingly large amount of meshfree literature ironically uses the nodes of a mesh as the point set that discretizes the domain. On the other hand, already existing efficient meshfree methods to generate point clouds are apparently not very well known among meshfree communities, which has led to recent work redeveloping existing algorithms. In this paper, we present a brief overview of point cloud generation methods for domains and surfaces and discuss their features and challenges, in particular in the context of applicability to industry-relevant complex geometries.

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Lagrangian finite-difference method for predicting green water loadings

Cited by 20 publications

References 48 publications

On the Evolution of Different Types of Green Water Events

On the Evolution of Different Types of Green Water Events

Lagrangian Differencing Dynamics for Time-Independent Non-Newtonian Materials

Point Cloud Generation for Meshfree Methods: An Overview

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