Hemodynamical Flows: Modeling, Analysis and Simulation

ISBN-13: 9783764378059 / Angielski / Miękka / 2008 / 501 str.

Giovanni P. Galdi;Rolf Rannacher;Anne M. Robertson

Opis

This book surveys research results on the physical and mathematical modeling, as well as the numerical simulation of complex fluid and structural mechanical processes occurring in the human blood circulation system. Topics treated include continuum mechanical description; choice of suitable liquid and wall models; mathematical analysis of coupled models; numerical methods for flow simulation; parameter identification and model calibration; fluid-solid interaction; mathematical analysis of piping systems; particle transport in channels and pipes; artificial boundary conditions, and many more. The book was developed from lectures presented by the authors at the Oberwolfach Research Institute (MFO), in Oberwolfach-Walke, Germany, November, 2005.

Recenzje

From the reviews:

"This volume consists of six contributions concerning mathematical tools and analysis for the blood flow in arteries and veins. ... book will be handy for those who are interested in the description of the flows of fluids with unusual properties, especially, of course, blood. It is suitable for physicists, mathematicians working in the analysis of fluid flows, students specializing in the mathematical modelling of fluids, and other related specialists. Libraries of technical and natural sciences universities are strongly recommended to provide this well written collection." (Ivan Straskraba, Applications of Mathematics, Vol. 56 (6), 2011)

Spis treści

Review of Relevant Continuum Mechanics.- Hemorheology.- Mathematical Problems in Classical and Non-Newtonian Fluid Mechanics.- Methods for Numerical Flow Simulation.- Numerics of Fluid-Structure Interaction.- Numerical Techniques for Multiphase Flow with Liquid-Solid Interaction.