Publication

MATHICSE Technical Report : Large Eddy simulations for blood fluid-dynamics in real stenotic carotids

Alfio Quarteroni
2016
Working Papers

Abstract

In this paper, we consider Large Eddy Simulations (LES) for human stenotic carotids in presence of atheromasic plaque. It is well known that in such a pathological condition, transitional effects to turbulence may occur, with relevant clinical implications such as plaque rupture. The first aim of this work is to provide a way to define a Direct Numerical Simulation (DNS). In our context turbulence is not statistically homogeneous isotropic and stationary. We define mesh size and time step by considering the reduced model of a 2D shear layer. Then, we compare the performance of LES ¾ model (both static and dynamic) and of mixed LES models (where also a similarity model is considered) with that of DNS in a realistic scenario of a carotid. The results highlight the effectiveness of the LES ¾ models in terms of accuracy, especially for the static model.

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https://infoscience.epfl.ch/entities/publication/a055e620-731c-4246-8df5-934784d3e7f5

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Alfio Quarteroni
2016
Working Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/a055e620-731c-4246-8df5-934784d3e7f5

About this result

Related concepts (32)

Large eddy simulation

Large eddy simulation (LES) is a mathematical model for turbulence used in computational fluid dynamics. It was initially proposed in 1963 by Joseph Smagorinsky to simulate atmospheric air currents, and first explored by Deardorff (1970). LES is currently applied in a wide variety of engineering applications, including combustion, acoustics, and simulations of the atmospheric boundary layer. The simulation of turbulent flows by numerically solving the Navier–Stokes equations requires resolving a very wide range of time and length scales, all of which affect the flow field.

Fluid dynamics

In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases. It has several subdisciplines, including aerodynamics (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modelling fission weapon detonation.

Computational fluid dynamics

Computational fluid dynamics (CFD) is a branch of fluid mechanics that uses numerical analysis and data structures to analyze and solve problems that involve fluid flows. Computers are used to perform the calculations required to simulate the free-stream flow of the fluid, and the interaction of the fluid (liquids and gases) with surfaces defined by boundary conditions. With high-speed supercomputers, better solutions can be achieved, and are often required to solve the largest and most complex problems.

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MATHICSE Technical Report : Large Eddy simulations for blood fluid-dynamics in real stenotic carotids

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