MATHICSE Technical Report : Geometric multiscale modeling of the cardiovascular system, between theory and practice
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The subject of this thesis is the numerical simulation of viscous free-surface flows in naval engineering applications. State-of-the-art numerical methods based on the solution of the Navier-Stokes equations are used to predict the flow around different cl ...
The aim of this work is to provide mathematically sound and computationally effective tools for the numerical simulation of the interaction between fluid and structures as occurring, for instance, in the simulation of the human cardiovascular system. This ...
We present a formulation for accommodating defective boundary conditions for the incompressible Navier--Stokes equations where only averaged values are prescribed on measurable portions of the boundary. In particular we consider the case where the flow rat ...
Society for Industrial and Applied Mathematics2002
A numerical model is presented for the simulation of complex fluid flows with free surfaces. The unknowns are the velocity and pressure fields in the liquid region, together with a function defining the volume fraction of liquid. Although the mathematical ...
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This paper deals with numerical simulation of induction heating for axisymmetric geometries. A mathematical model is presented, together with a numerical scheme based on the Finite Element Method. A numerical simulation code was implemented using the model ...
Medicine is one of the branches of scientific research in which numerical simulation can give a great support. In particular, a well mature branch like computational fluid dynamics (CFD) can provide a substantial help for the understanding of several patho ...
Bristeau, M.-O. (ed.) et al. Chichester: John Wiley & Sons.1997