A finite element model for fluid–structure interaction problems involving closed membranes, internal and external fluids

Ryzhakov, Pavel; Oñate, Eugenio

doi:10.1016/j.cma.2017.08.014

Cited by 17 publications

(10 citation statements)

References 32 publications

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“…In this work, the membrane of the value is modelled as a 3D solid, which facilitates the convergence of the FSI coupling. In order to avoid the excessive element distortion in solid membrane of the value due to large deformation of the FSI interface, the elastic analogy mesh motion method is used [ 3 , 17 , 18 ].…”

Section: Fluid-structure Interactionmentioning

confidence: 99%

Analysis of Membrane Behavior of a Normally Closed Microvalve Using a Fluid-Structure Interaction Model

Natarajan

Kim

2017

Micromachines

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In this paper, membrane deflection against fluid flow and opening membrane (threshold) pressure were studied using fluid-structure interaction (FSI) analysis, and compared with experimental data obtained by Jaemin et al. In the current analysis, two different models (I-shaped and V-shaped) were used to perform the FSI simulation. In microvalve modeling, in order to reduce external actuator usage, interconnections are made between two similar microvalves. This typical interconnection creates a pressure distribution in a local environment. Furthermore, to differentiate the volume factor in a microvalve, a length/width (L/W) ratio term was used. Compared with higher- and lower-L/W-ratio models, the higher-L/W model eventually initiates more deflection in a low-pressure regime than the lower-L/W-ratio model. FSI simulations were performed for 4 μL/min, 6 μL/min, 8 μL/min, 10 μL/min, and 12 μL/min flow rates against membrane behavior, and performance evaluations of the microvalves were conducted. It was observed during an FSI simulation that the gate pressure applied to the lower surface deflects the membrane upward, thereby making contact with the wall. Two important parameters (material properties of the structural membrane and the inlet region height) were selected for analysis to evaluate changes in microvalve performance. These results are presented in the current study.

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Section: Fluid-structure Interactionmentioning

confidence: 99%

Analysis of Membrane Behavior of a Normally Closed Microvalve Using a Fluid-Structure Interaction Model

Natarajan

Kim

2017

Micromachines

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“…Reducing variable heterogeneity and facilitating the FSI coupling can be achieved, among other techniques, by the so-called "unified approaches" proposed originally in [8]. Unified approaches [9][10][11][12] describe the entire FSI problem on a single mesh and define a unique kinematic degree of freedom for the entire domain, including the nodes where fluid and the solid are in contact . All the mentioned models rely on Lagrangian description of the entire problem and are advantageous for analyzing FSI problems involving free surface flows.…”

Section: Introductionmentioning

confidence: 99%

A Unified Arbitrary Lagrangian–Eulerian Model for Fluid–Structure Interaction Problems Involving Flows in Flexible Channels

2022

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In this work a finite element-based model for analyzing incompressible flows in flexible channels is presented. The model treats the fluid–solid interaction problem in a monolithic way, where the governing equations for both sub-domains are solved on a single moving grid taking advantage of an arbitrary Lagrangian/Eulerian framework (ALE). The unified implementation of the governing equations for both sub-domains is developed, where these are distinguished only in terms of the mesh-moving strategy and the constitutive equation coefficients. The unified formulation is derived considering a Newtonian incompressible fluid and a hypoelastic solid. Hypoelastic constitutive law is based on the strain rate and thus naturally facilitates employing velocity as a kinematic variable in the solid. Unifying the form of the governing equations and defining a semi-Lagrangian interface mesh-motion algorithm, one obtains the coupled problem formulated in terms of a unique kinematic variable. Resulting monolithic system is characterized by reduced variable heterogeneity resembling that of a single-media problem. The model used in conjunction with algebraic multigrid linear solver exhibits attractive convergence rates. The model is tested using a 2D and a 3D example.

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“…Lagrangian fluid approaches have been further developed for free surface flows in [4] and [5] resulting in what is now generally known as the "Particle Finite Element Method" (PFEM), a methodology that combines the features of the classical Lagrangian finite element methods and the mesh-free approaches. The PFEMs have been further advanced by various groups and applied to flows with multi-fluids [6,7], fluidstructure interactions [8,9,10] and multi-fluid-structure interaction problems [11].…”

Section: Introductionmentioning

confidence: 99%

An explicit/implicit Runge–Kutta-based PFEM model for the simulation of thermally coupled incompressible flows

Marti

Ryzhakov

2019

Comp. Part. Mech.

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A semi-explicit Lagrangian scheme for the simulation of thermally coupled incompressible flow problems is presented. The model relies on combining an explicit multi-step solver for the momentum equation with an implicit heat equation solver. Computational cost of the model is reduced via application of an efficient strategy adopted for the solution of momentum/continuity system by the authors in their previous work. The applicability of the method to solving thermo-mechanical problems is studied via various numerical examples.

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A finite element model for fluid–structure interaction problems involving closed membranes, internal and external fluids

Cited by 17 publications

References 32 publications

Analysis of Membrane Behavior of a Normally Closed Microvalve Using a Fluid-Structure Interaction Model

Analysis of Membrane Behavior of a Normally Closed Microvalve Using a Fluid-Structure Interaction Model

A Unified Arbitrary Lagrangian–Eulerian Model for Fluid–Structure Interaction Problems Involving Flows in Flexible Channels

An explicit/implicit Runge–Kutta-based PFEM model for the simulation of thermally coupled incompressible flows

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