A numerical study on the fluid compressibility effects in strongly coupled fluid–solid interaction problems

Tandis, Emad; Ashrafizadeh, Ali

doi:10.1007/s00366-019-00880-4

Cited by 3 publications

(7 citation statements)

References 38 publications

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“…Finally, blood compressibility was assumed to be governed by the barotropic equation of state, which has already been used to model the behavior of blood in FSI problems [44,45,46]. It can be applied for liquids at "low pressures" when the change in density is linearly related to the pressure change according to the definition of the bulk modulus of the fluid, κ f :…”

Section: Physical and Mathematical Modeling And Boundary Conditionsmentioning

confidence: 99%

A numerical investigation of the mechanics of intracranial aneurysms walls: Assessing the influence of tissue hyperelastic laws and heterogeneous properties on the stress and stretch fields

Oliveira

Cardiff

Baccin

et al. 2022

Journal of the Mechanical Behavior of Biomedical Materials

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Section: Physical and Mathematical Modeling And Boundary Conditionsmentioning

confidence: 99%

A numerical investigation of the mechanics of intracranial aneurysms walls: Assessing the influence of tissue hyperelastic laws and heterogeneous properties on the stress and stretch fields

Oliveira

Cardiff

Baccin

et al. 2022

Journal of the Mechanical Behavior of Biomedical Materials

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“…The first one is the flexibility of the ALE, which allows arbitrary mesh motion, from fixed Eulerian to moving Lagrangian, depending on the nature of the problem and the extent of the domain deformation. The second one is the use of a weakly compressible model which is more realistic compared to the assumption of strict incompressibility 38 …”

Section: Numerical Solution Approachmentioning

confidence: 99%

“…In this section, a transient, three‐dimensional (3D) FSI problem, originally proposed by Formaggia, 42 is studied using the proposed method. Being the theoretical model for simulating blood flow in a vessel, this benchmark case has been frequently used in the literature to evaluate various FSI solvers 38,42,44–46 . Therefore, this test case not only is a suitable problem for validating results but also can be used to assess the performance of the solvers in terms of the computational cost.…”

Section: Validation Test Casesmentioning

confidence: 99%

“…As seen in the contours of these figures, the motion of the longitude pressure wave inside the fluid is the main cause of the radial deformation of the solid, which behaves as a transverse wave. The interested reader might refer to Reference 38 for further information.…”

Section: Validation Test Casesmentioning

confidence: 99%

“…The second one is the use of a weakly compressible model which is more realistic compared to the assumption of strict incompressibility. 38 In order to apply the FV method, firstly, the computational domains, that is, time and spatial domains, are discretized into a set of time steps and CVs. As shown in Figure 3, each CV can have a general polygonal shape which is constructed by an arbitrary number of control surfaces f .…”

Section: Numerical Solution Approachmentioning

confidence: 99%

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A unified approach for the solution of fluid‐solid interaction problems with hyperelastic deformation in internal flows

Tandis

Ashrafizadeh

2022

Numerical Methods in Fluids

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In the single domain method for solving fluid-solid interaction (FSI) problems, a unified formulation is used for the entire computational domain. In such monolithic FSI solvers, all of the governing equations are solved simultaneously. In the present study, the single domain method is further extended to an interface-tracking FSI solver which accounts for mesh movement via an Arbitrary Lagrangian-Eulerian (ALE) description of the governing equations.The focus is on internal flow problems with large deformation. Pressure and velocity are selected as the dependent variables for both solid and fluid parts of the computational domain. A distinguishing feature of the proposed method is that the governing equations at the interface are discretized in a conservative manner. Interfacial boundary conditions are enforced via a pressure-velocity splitting method to convert the kinematic and dynamic conditions at the interface into pressure-velocity relations. A PISO-like procedure is used to solve the discretized equations. In order to evaluate the proposed solver, strongly-coupled FSI benchmark test cases are employed. The performance of the proposed method and computational results are also compared with those obtained by a conventional partitioned solver. The results show that the proposed solver provides more accurate results on a coarser mesh compared to the benchmark solutions. The proposed method is also capable of solving strongly coupled problems for which the partitioned solver fails to converge.

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Design and Analysis of High-Precision Infusion Systems

Liang,

Yan,

Yuan

et al. 2023

2023 5th International Academic Exchange Conference on Science and Technology Innovation (IAECST)

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A numerical study on the fluid compressibility effects in strongly coupled fluid–solid interaction problems

Cited by 3 publications

References 38 publications

A numerical investigation of the mechanics of intracranial aneurysms walls: Assessing the influence of tissue hyperelastic laws and heterogeneous properties on the stress and stretch fields

A numerical investigation of the mechanics of intracranial aneurysms walls: Assessing the influence of tissue hyperelastic laws and heterogeneous properties on the stress and stretch fields

A unified approach for the solution of fluid‐solid interaction problems with hyperelastic deformation in internal flows

Design and Analysis of High-Precision Infusion Systems

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