Simulating water-entry/exit problems using Eulerian–Lagrangian and fully-Eulerian fictitious domain methods within the open-source IBAMR library

Bhalla, Amneet Pal Singh; Nangia, Nishant; Dafnakis, Panagiotis; Bracco, Giovanni; Mattiazzo, Giuliana

doi:10.1016/j.apor.2019.101932

Cited by 46 publications

(26 citation statements)

References 72 publications

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“…Future works include an extension of the method to three-dimensional problems with interactions with solids including the numerical simulation of wave energy converters [37,38]. We also aim to study the sensibility of the reinitialization procedure of the level-set function defining the bifluid interface, as for instance the one developed in [31].…”

Section: Discussionmentioning

confidence: 99%

A Cartesian Method with Second-Order Pressure Resolution for Incompressible Flows with Large Density Ratios

Bergmann

Weynans

2021

Fluids

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An Eulerian method to numerically solve incompressible bifluid problems with high density ratio is presented. This method can be considered as an improvement of the Ghost Fluid method, with the specificity of a sharp second-order numerical scheme for the spatial resolution of the discontinuous elliptic problem for the pressure. The Navier–Stokes equations are integrated in time with a fractional step method based on the Chorin scheme and discretized in space on a Cartesian mesh. The bifluid interface is implicitly represented using a level-set function. The advantage of this method is its simplicity to implement in a standard monofluid Navier–Stokes solver while being more accurate and conservative than other simple classical bifluid methods. The numerical tests highlight the improvements obtained with this sharp method compared to the reference standard first-order methods.

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Section: Discussionmentioning

confidence: 99%

A Cartesian Method with Second-Order Pressure Resolution for Incompressible Flows with Large Density Ratios

Bergmann

Weynans

2021

Fluids

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“…Capturing the free surface of the waves in the two-phase flow problem under study is modeled through the level set method, while water-structure interaction is modeled with the use of the immersed boundary method. The immersed boundary method has been recently adopted in offshore and ocean engineering problems [26][27][28][29][30][31] for the robust and efficient numerical modeling of physical problems related to the interaction between two fluids and moving rigid structures, unstructured grids, high-density flows, WECs operating in multiple degrees of freedom and water entry/exit problems. In [32][33][34], the slip boundary condition is imposed on all sides of the numerical domain, and no penetration boundary condition is imposed on the solid-fluid interface.…”

Section: Calculation Of Responsesmentioning

confidence: 99%

VD-PQ; A Velocity-Dependent Viscous Damping Model for Wave-Structure Interaction Analysis

Michailides

2021

JMSE

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For the analysis and design of coastal and offshore structures, viscous loads represent one of the most influential parameters that dominate their response. Very commonly, the potential flow theory is used for identifying the excitation wave loads, while the viscous damping loads are taken into consideration as distributed drag type loads and/or as linear and quadratic damping loads approximated with the use of motion decay curves of the structure in specific degrees of freedom. In the present paper, is developed and proposed a numerical analysis method for addressing wave-structure interaction effects through a velocity-dependent viscous damping model. Results derived by a computational fluid dynamics model are coupled with a model that uses the boundary element method for the estimation of the viscous damping loads iteratively in every time-step of the analysis. The computational fluid dynamics model solves the Navier–Stokes equations considering incompressible flow, while the second model solves the modified Cummins Equation of motion of the structure in the time domain. Details about the development of the coupling method and the velocity-dependent viscous damping (VD-PQ) are presented. The coupling between the different models is realized through a dynamic-link library. The proposed coupling method is applied for the case of a wave energy converter. Results derived with the use of the developed numerical analysis method are compared against experimental data and relevant numerical analysis predictions. The importance of considering the instantaneous velocity of the structure in estimating the viscous damping loads is demonstrated. The proposed numerical analysis method for estimating the viscous damping loads provides good accuracy compared to experimental data and, at the same time, low computational cost.

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“…δ h = δ h (x − X), and not the locations themselves; see Eqs. ( 6)- (11). This property implies that the weights of an IB kernel are independent of the Lagrangian marker identity and the same kernel is used for each marker.…”

Section: Discrete Equations Of Motion 221 Lagrangian Discretizationmentioning

confidence: 99%

“…Immersed boundary (IB) methods [1,2,3] are a class of fictitious domain methods [4] that can enable the efficient solution to complex moving domain problems. The IB methodology is now widely used in modeling large scale engineering [2,5,6,7,8,9,10,11] and biological [12,13,14,15,16,17] models that have large boundary deformations or displacements within the computational domain. IB methods have also seen substantial use for applications that require only fixed geometries because they simplify grid generation [18,19,20,21].…”

Section: Introductionmentioning

confidence: 99%

A one-sided direct forcing immersed boundary method using moving least squares

Bale,

Bhalla,

Griffith

et al. 2021

Preprint

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This paper presents a one-sided immersed boundary (IB) method using kernel functions constructed via a moving least squares (MLS) method. The resulting kernels effectively couple structural degrees of freedom to fluid variables on only one side of the fluid-structure interface. This reduces spurious feedback forcing and internal flows that are typically observed in IB models that use isotropic kernel functions to couple the structure to fluid degrees of freedom on both sides of the interface. The method developed here extends the original MLS methodology introduced by Vanella and Balaras (J Comput Phys, 2009). Prior IB/MLS methods have used isotropic kernel functions that coupled fluid variables on both sides of the boundary to the interfacial degrees of freedom. The original IB/MLS approach converts the cubic spline weights typically employed in MLS reconstruction into an IB kernel function that satisfies particular discrete moment conditions. This paper shows that the same approach can be used to construct one-sided kernel functions (kernel functions are referred to as generating functions in the MLS literature). We also examine the performance of the new approach for a family of kernel functions introduced by Peskin. It is demonstrated that the one-sided MLS construction tends to generate non-monotone interpolation kernels with large over-and undershoots. We present two simple weight shifting strategies to construct generating functions that are positive and monotone, which enhances the stability of the resulting IB methodology. Benchmark cases are used to test the order of accuracy and verify the one-sided IB/MLS simulations in both two and three spatial dimensions. This new IB/MLS method is also used to simulate flow over the Ahmed car model, which highlights the applicability of this methodology for modeling complex engineering flows.

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Simulating water-entry/exit problems using Eulerian–Lagrangian and fully-Eulerian fictitious domain methods within the open-source IBAMR library

Cited by 46 publications

References 72 publications

A Cartesian Method with Second-Order Pressure Resolution for Incompressible Flows with Large Density Ratios

A Cartesian Method with Second-Order Pressure Resolution for Incompressible Flows with Large Density Ratios

VD-PQ; A Velocity-Dependent Viscous Damping Model for Wave-Structure Interaction Analysis

A one-sided direct forcing immersed boundary method using moving least squares

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