The LifeV library: engineering mathematics beyond the proof of concept

Bertagna, Luca; Deparis, Simone; Formaggia, Luca; Forti, Davide; Veneziani, Alessandro

doi:10.48550/arxiv.1710.06596

Cited by 8 publications

(9 citation statements)

References 83 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We report the numerical results obtained performing numerical simulations 1 with the FE library LifeV [28,60] for the solution of the fluid dynamics in the idealized LA as modeled in Sections 2 and 3. Blood is set as Newtonian, incompressible and viscous fluid with density ρ = 1.06 g/cm 3 and dynamic viscosity µ = 0.035 g/(cm s).…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Hemodynamics of the heart's left atrium based on a Variational Multiscale-LES numerical model

Zingaro,

Dede',

Menghini

et al. 2021

Preprint

View full text Add to dashboard Cite

In this paper, we investigate the hemodynamics of a left atrium (LA) by proposing a computational model suitable to provide physically meaningful fluid dynamics indications and detailed blood flow characterization. In particular, we consider the incompressible Navier-Stokes equations in Arbitrary Lagrangian Eulerian (ALE) formulation to deal with the LA domain under prescribed motion. A Variational Multiscale (VMS) method is adopted to obtain a stable formulation of the Navier-Stokes equations discretized by means of the Finite Element method and to account for turbulence modeling based on Large Eddy Simulation (LES). The aim of this paper is twofold: on one hand to improve the general understanding of blood flow in the human LA in normal conditions; on the other, to analyse the effects of the turbulence VMS-LES method on a situation of blood flow which is neither laminar, nor fully turbulent, but rather transitional as in LA. Our results suggest that if relatively coarse meshes are adopted, the additional stabilization terms introduced by the VMS-LES method allow to better predict transitional effects and cycle-to-cycle blood flow variations than the standard SUPG stabilization method.

show abstract

Section: Numerical Results and Discussionmentioning

confidence: 99%

Hemodynamics of the heart's left atrium based on a Variational Multiscale-LES numerical model

Zingaro,

Dede',

Menghini

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In Section 6.1, we consider the same modular artificial geometry employed in the offline phase presented in Section 5 and we compare the results obtained by solving the flow problem using the RB and the FE methods. These are obtained with a code based on LifeV, a C++ FE library with support to high-performance computing [10]. In Section 6.2, we consider a simple but more physiological geometry of an aorta and the two iliac arteries.…”

Section: Numerical Resultsmentioning

confidence: 99%

Model order reduction of flow based on a modular geometrical approximation of blood vessels

Pegolotti,

Pfaller,

Marsden

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

We are interested in a reduced order method for the efficient simulation of blood flow in arteries. The blood dynamics is modeled by means of the incompressible Navier-Stokes equations. Our algorithm is based on an approximated domain-decomposition of the target geometry into a number of subdomains obtained from the parametrized deformation of geometrical building blocks (e.g. straight tubes and model bifurcations). On each of these building blocks, we build a set of spectral functions by proper orthogonal decomposition of a large number of snapshots of finite element solutions (offline phase). The global solution of the Navier-Stokes equations on a target geometry is then found by coupling linear combinations of these local basis functions by means of spectral Lagrange multipliers (online phase). Being that the number of reduced degrees of freedom is considerably smaller than their finite element counterpart, this approach allows us to significantly decrease the size of the linear system to be solved in each iteration of the Newton-Raphson algorithm. We achieve large speedups with respect to the full order simulation (in our numerical experiments, the gain is at least of one order of magnitude and grows inversely with respect to the reduced basis size), whilst still retaining satisfactory accuracy for most cardiovascular simulations.

show abstract

“…openCARP (Plank et al, 2021) focuses on modeling cardiac electrophysiology. There are other general-purpose open source software such as LifeV (Bertagna et al, 2017) and FEniCS (Logg et al, 2012), that can be flexibly adapted to simulate different physics in the heart, but significant development effort may be required for this purpose. Recently, Quarteroni et al have also been developing an open source simulator for the cardiac function, and the fiber generation module (Africa et al, 2022) and electromechanics (Fedele et al, 2022) have been announced so far.…”

Section: Statement Of Needmentioning

confidence: 99%

svFSI: A Multiphysics Package for Integrated Cardiac Modeling

Zhu¹,

Vedula²,

Parker³

et al. 2022

JOSS

View full text Add to dashboard Cite

Heart disease is the number one cause of death in the US (Xu et al., 2020). Many efforts have been devoted to studying its progression, diagnosis, and treatment. During the past decade, computational modeling has made significant inroads into the research of heart disease. The heart is inherently a multiphysics system that includes electrophysiology, tissue mechanics, and blood dynamics. Its normal function starts with the propagation of electrical signals that trigger the active contraction of the heart muscle to pump blood into the circulatory system. Rooted in fundamental laws of physics such as the balance of mass, momentum, and energy, computational modeling has been instrumental in studying cardiac physiology such as left ventricular function (Mittal et al., 2015), cardiac arrhythmia (Trayanova, 2011), and blood flow in the cardiovascular system (Arzani & Shadden, 2018;Grande Gutiérrez et al., 2021). svFSI is the first open source software that specializes in enabling coupled electro-mechano-hemodynamic simulations of the heart.

show abstract

The LifeV library: engineering mathematics beyond the proof of concept

Cited by 8 publications

References 83 publications

Hemodynamics of the heart's left atrium based on a Variational Multiscale-LES numerical model

Hemodynamics of the heart's left atrium based on a Variational Multiscale-LES numerical model

Model order reduction of flow based on a modular geometrical approximation of blood vessels

svFSI: A Multiphysics Package for Integrated Cardiac Modeling

Contact Info

Product

Resources

About