ArticleJournal of biomechanical engineering2018
Finite Element Framework for Computational Fluid Dynamics in FEBio.
Article in Journal of biomechanical engineering, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- Integrating Uncertainty Quantification into Computational Fluid Dynamics Models of Coronary Arteries Under Steady Flow.Journal of biomechanical engineering · 2026Article
- Article
- Comparative Analysis of Open-Source Finite Element Method Solvers for Computational Fluid Dynamics Performance in a Carotid Artery Model.Journal of biomechanical engineering · 2026Article
- An open-source computational framework for immersed fluid-structure interaction modeling using FEBio and MFEM.Engineering with computers · 2026Article
- The Problem With National Institute of Standards and Technology Thermodynamics Tables in Continuum Mechanics.Journal of biomechanical engineering · 2024Article
- Finite Element Implementation of Computational Fluid Dynamics With Reactive Neutral and Charged Solute Transport in FEBio.Journal of biomechanical engineering · 2023Article
- The effects of leaflet material properties on the simulated function of regurgitant mitral valves.Journal of the mechanical behavior of biomedical materials · 2023Article
- The Effects of leaflet material properties on the simulated function of regurgitant mitral valves.ArXiv · 2023Article
- Adaptive Wall Shear Stress Imaging in Phantoms, Simulations and In Vivo.IEEE transactions on bio-medical engineering · 2023Article
- Cerebral hemodynamics during atrial fibrillation: Computational fluid dynamics analysis of lenticulostriate arteries using 7 T high-resolution magnetic resonance imaging.Physics of fluids (Woodbury, N.Y. : 1994) · 2022Article
- Generation and evaluation of input values for computational analysis of transport processes within tissue cultures.Engineering in life sciences · 2022Review
- A Computational Framework for Atrioventricular Valve Modeling Using Open-Source Software.Journal of biomechanical engineering · 2022Article
- Patient-Specific Inverse Modeling of In Vivo Cardiovascular Mechanics with Medical Image-Derived Kinematics as Input Data: Concepts, Methods, and Applications.Applied sciences (Basel, Switzerland) · 2022Article
- A Hybrid Biphasic Mixture Formulation for Modeling Dynamics in Porous Deformable Biological Tissues.Archive of applied mechanics = Ingenieur-Archiv · 2022Article
- A Hybrid Reactive Multiphasic Mixture With a Compressible Fluid Solvent.Journal of biomechanical engineering · 2022Article
- Finite Element Implementation of Biphasic-Fluid Structure Interactions in febio.Journal of biomechanical engineering · 2021Article
- Pulse Wave Imaging Coupled With Vector Flow Mapping: A Phantom, Simulation, and In Vivo Study.IEEE transactions on ultrasonics, ferroelectrics, and frequency control · 2021Article
- A Non-linear Viscoelastic Model of the Incudostapedial Joint.Journal of the Association for Research in Otolaryngology : JARO · 2020Article
- A Plugin Framework for Extending the Simulation Capabilities of FEBio.Biophysical journal · 2018Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
The mechanics of biological fluids is an important topic in biomechanics, often requiring the use of computational tools to analyze problems with realistic geometries and material properties. This study describes the formulation and implementation of a finite element framework for computational fluid dynamics (CFD) in FEBio, a free software designed to meet the computational needs of the biomechanics and biophysics communities. This formulation models nearly incompressible flow with a compressible isothermal formulation that uses a physically realistic value for the fluid bulk modulus. It employs fluid velocity and dilatation as essential variables: The virtual work integral enforces the balance of linear momentum and the kinematic constraint between fluid velocity and dilatation, while fluid density varies with dilatation as prescribed by the axiom of mass balance. Using this approach, equal-order interpolations may be used for both essential variables over each element, contrary to traditional mixed formulations that must explicitly satisfy the inf-sup condition. The formulation accommodates Newtonian and non-Newtonian viscous responses as well as inviscid fluids. The efficiency of numerical solutions is enhanced using Broyden's quasi-Newton method. The results of finite element simulations were verified using well-documented benchmark problems as well as comparisons with other free and commercial codes. These analyses demonstrated that the novel formulation introduced in FEBio could successfully reproduce the results of other codes. The analogy between this CFD formulation and standard finite element formulations for solid mechanics makes it suitable for future extension to fluid-structure interactions (FSIs).
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.