Adaptive unified continuum FEM modeling of a 3D FSI benchmark problem

Jansson, Johan; Degirmenci, Niyazi Cem; Hoffman, Johan

doi:10.1002/cnm.2851

Cited by 7 publications

(6 citation statements)

References 24 publications

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“…For circumventing these numerical problems, a great effort has been undertaken, for a brief review, we refer to [55]. As a remedy to these numerical problems, stabilization methods have been proposed in [56][57][58], and these methods are advanced [59][60][61][62] and implemented [63][64][65]. Also different numerical methods have been suggested for a robust implementation [66][67][68][69][70].…”

Section: Methodsmentioning

confidence: 99%

Experimental validation of computational fluid dynamics for solving isothermal and incompressible viscous fluid flow

Abali

Savaş

2020

SN Appl. Sci.

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In order to validate a computational method for solving viscous fluid flows, experiments are carried out in an eccentric cylindrical cavity showing various flow formations over a range of Reynolds numbers. Especially, in numerical solution approaches for isothermal and incompressible flows, we search for simple experimental data for evaluating accuracy as well as performance of the computational method. Verification of different computational methods is arduous, and analytic solutions are only obtained for simple geometries like a channel flow. Clearly, a method is expected to predict different flow patterns within a cavity. Thus, we propose a configuration generating different flow formations depending on the Reynolds number and make the experimental results freely available in order to be used as an assessment criterion to demonstrate the reliability of a new computational approach.

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Section: Methodsmentioning

confidence: 99%

Experimental validation of computational fluid dynamics for solving isothermal and incompressible viscous fluid flow

Abali

Savaş

2020

SN Appl. Sci.

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“…A monolithic interface tracking method for heart valve simulation is presented, in which the idea of a contact medium is extended to FSI to allow for contact and topology changes. The method builds on the unified continuum FSI (UC-FSI) methodology, 48,49 where the fluid and structure subdomains are discretized by a finite element method as one single unified continuum. Preliminary work has shown promise in the area of biomechanics, 50,51 and in this article a detailed description is given of the methodology with a specific focus on heart valve simulation.…”

Section: Unified Continuum Fsimentioning

confidence: 99%

“…In previous work the UC-FSI model without contact has been validated for benchmark problems in both 2D 48 and 3D, 49 which is here complemented by a study of UC-FSI with contact for a 3D model problem under mesh refinement. The 3D model problem takes the form of a bouncing sphere, inspired by a related 2D study.…”

Section: Mesh Sensitivity Study Of the Uc-fsi Contact Modelmentioning

confidence: 99%

An interface‐tracking unified continuum model for fluid‐structure interaction with topology change and full‐friction contact with application to aortic valves

Spühler

Hoffman

2020

Numerical Meth Engineering

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An interface tracking finite element methodology is presented for 3D turbulent flow fluid-structure interaction, including full-friction contact and topology changes, with specific focus on heart valve simulations. The methodology is based on a unified continuum fluid-structure interaction model, which is a monolithic approach, where the fundamental conservation laws are formulated for the combined fluid-structure continuum. Contact is modeled by local phase changes in the unified continuum, and computational results show the promise of the approach. The core algorithms are all based on the solution of partial differential equations with standard finite element methods, and hence any general purpose finite element library which can leverage state of the art hardware platforms can be used for the implementation of the methodology. K E Y W O R D Saortic valve, contact model, finite element method, unified continuum fluid-structure interactionThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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“…Addressing the disparate requirements of different FSI applications, the scientific community has responded by generating a broad range of numerical methods. From now classic arbitrary Lagrangian-Eulerian (ALE) boundary fitted approaches [1,2,3], to space-time ALE variational multiscale (ALE VMS) [4,5,6], unified continuum methods [7,8], immersed boundary methods [9,10,11], fictitious domain methods [12,13], immersed structural potential methods [14,15], and overlapping domain methods [16,17,18,19,20,21] (to name a few) many innovative FSI techniques have been introduced that address application-specific challenges. Trailing this methodological development enabling complex simulations was a boom in applications, further pushing the numerical envelope to accommodate bigger problems with more physical models that emulate the complex fluid-structure dynamics of real-world systems.…”

Section: Introductionmentioning

confidence: 99%

A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms

Hessenthaler

Balmus

Röhrle

et al. 2020

Computer Methods in Applied Mechanics and Engineering

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Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of application-specific demands. While a range of numerical and experimental benchmarks are present in the literature, few solutions are available that enable both verification and spatiotemporal convergence analysis. In this paper, we introduce a class of analytic solutions to FSI problems involving shear in channels and pipes. Comprised of 16 separate analytic solutions, our approach is permuted to enable progressive verification and analysis of FSI methods and implementations, in two and three dimensions, for static and transient scenarios as well as for linear and hyperelastic solid materials. Results are shown for a range of analytic models exhibiting progressively complex behavior. The utility of these solutions for analysis of convergence behavior is further demonstrated using a previously published monolithic FSI technique. The resulting class of analytic solutions addresses a core challenge in the development of novel FSI algorithms and implementations, providing a progressive testbed for verification and detailed convergence analysis.

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Adaptive unified continuum FEM modeling of a 3D FSI benchmark problem

Cited by 7 publications

References 24 publications

Experimental validation of computational fluid dynamics for solving isothermal and incompressible viscous fluid flow

Experimental validation of computational fluid dynamics for solving isothermal and incompressible viscous fluid flow

An interface‐tracking unified continuum model for fluid‐structure interaction with topology change and full‐friction contact with application to aortic valves

A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms

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