An enhanced finite volume method to model 2D linear elastic structures

Suliman, Ridhwaan; Oxtoby, Oliver F; Malan, Arnaud G.; Kok, Schalk

doi:10.1016/j.apm.2013.10.028

Cited by 22 publications

(12 citation statements)

References 19 publications

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“…This is not possible experimentally if limited to available fluid properties. In this work, all CFD calculations are conducted with the multi-physics CFD code ELEMENTAL ® [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

CFD Based Non-Dimensional Characterization of Energy Dissipation Due to Verticle Slosh

2021

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We present the CFD based non-dimensional characterization of violent slosh induced energy dissipation due a tank under vertical excitation. Experimentally validated CFD is used for this purpose as an ideally suited and versatile tool. It is thus first demonstrated that a weakly compressible VoF based CFD scheme is capable of computing violent slosh induced energy dissipation with high accuracy. The resulting CFD based energy analysis further informs that the main source of energy dissipation during violent slosh is due liquid impact. Next, a functional relationship characterising slosh induced energy dissipation is formulated in terms of fluid physics based non-dimensional numbers. These comprised contact angle and liquid–gas density ratio as well as Reynolds, Weber and Froude numbers. The Froude number is found the most significant in characterising verticle violent slosh induced energy dissipation (in the absence of significant phase change). The validated CFD is consequently employed to develop scaling laws (curve fits) which quantify energy dissipation as a function of the most important fluid physics non-dimensional numbers. These newly developed scaling laws show for the first time that slosh induced energy dissipation may be expressed as a quadratic function of Froude number and as a linear function of liquid–gas density ratio. Based on the aforementioned it is postulated that violent slosh induced energy dissipation may be expressed as a linear function of tank kinetic energy. The article is concluded by demonstrating the practical use of the novel CFD derived non-dimensional scaling laws to infer slosh induced energy dissipation for ideal experiments (with exact fluid physics similarity to the full scale Aircraft) from (non-ideal) slosh experiments.

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Section: Introductionmentioning

confidence: 99%

CFD Based Non-Dimensional Characterization of Energy Dissipation Due to Verticle Slosh

2021

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“…The finite volume method [2] has traditionally been more dominant in the field of fluid mechanics but has received increased attention for use in solid mechanics over the last two decades. Both schemes can be considered as methods of weighted residuals where they differ in the choice of weighting function [3]. In terms of computational FSI approaches, many recent studies have made use of a single discretisation scheme, either finite element [4][5][6] or finite volume [7][8][9], to solve the entire domain.…”

Section: Introductionmentioning

confidence: 99%

A Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow

Suliman

Oxtoby

2021

MATEC Web Conf.

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The deformation of slender elastic structures due to the motion of surrounding fluid is a common multiphysics problem encountered in many applications. In this work we detail the development of a numerical model capable of solving such strongly-coupled fluid-structure interaction problems, and analyse the dynamic behaviour of multiple interacting bodies under fluid loading. In most fluid-structure interaction problems the deformation of slender elastic bodies is significant and cannot be described by a purely linear analysis. We present a new formulation to model these larger displacements. By extending the standard modal analysis technique for linear structural analysis, the governing equations and boundary conditions are updated to account for non-linear terms and a new modal formulation with quadratic modes is derived. The quadratic modal approach is tested on standard benchmark problems of increasing complexity and compared with analytical and full non-linear numerical solutions. An analysis of the dynamic interactions between multiple finite plates in various configurations under fluid loading, as well as the effects of the spacing between the structures, is also conducted. Numerical results are compared with theoretical and experimental approaches. The inverted hydrodynamic drafting effect of elastic bodies in an in-line configuration can be confirmed from our numerical simulations.

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“…Now, the FVM has been extended to the field of solid mechanics and achieved great success [13][14][15][16]. Suliman et al [17] proposed an enhanced FVM for the purpose of modeling linear elastic structures undergoing bending. Compared with the traditional FEM, the advantage of the model was verified and a rigorous error analysis was conducted.…”

Section: Introductionmentioning

confidence: 99%

A comparative study on simulating flow-induced fracture deformation in subsurface media by means of extended FEM and FVM

Han

Yang

et al. 2020

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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Accurate and efficient simulation on the fluid flow and deformation in porous media is of increasing importance in a diverse range of engineering fields. At present, there are only several methods can be used to simulate the deformation of fractured porous media. It is very important to know their application scopes, advantages, and disadvantages for solving the practical problems correctly. Therefore, in this paper, we compared two numerical simulation methods for flow-induced fracture deformation in porous media. One is the Extended Finite Element Method (XFEM), which is based on the classical finite element method and can simulate strong or weak discontinuous problems. The other is developed within the finite-volume framework, termed Extended Finite Volume Method (XFVM). We designed three test cases, including single fracture, cross fractures and eight discrete fractures, to investigate the accuracy and efficiency of XFEM and XFVM. The reference solutions were provided by the commercial software, COMSOL, where the standard finite element method is implemented. The research findings showed that the accuracy of the XFEM was slightly higher than that of the XFVM, but the latter was more efficient. These results are likely to be useful in decision making regarding choice of solving methods for the multi-field coupling problem in fractured porous media.

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An enhanced finite volume method to model 2D linear elastic structures

Cited by 22 publications

References 19 publications

CFD Based Non-Dimensional Characterization of Energy Dissipation Due to Verticle Slosh

CFD Based Non-Dimensional Characterization of Energy Dissipation Due to Verticle Slosh

A Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow

A comparative study on simulating flow-induced fracture deformation in subsurface media by means of extended FEM and FVM

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