Oberwolfach Seminar: Hemodynamical Flows: Aspects of Modeling, Analysis and Simulation

Date:

November 20th - November 26th, 2005

Organizers:

Anne M. Robertson, Pittsburgh

Giovanni P. Galdi, Pittsburgh

Rolf Rannacher, Heidelberg

Stefan Turek, Dortmund

Program:

The term "Hemodynamics" is used to denote fluid and structural mechanical processes occuring in the human blood circuit. Modeling, mathematical analysis and numerical simulation of these processes pose several peculiar problems, which are related to key issues such as: particle versus continuum mechanical description, determination of appropriate boundary conditions for micro-flows, choice of suitable liquid and wall models, fluid-structure interaction, particle transport in channels and pipes, in- and outflow boundary conditions, multi-model approaches, etc.

Accordingly, this seminar will address the following topics connected to modeling, theoretical analysis as well as computational aspects:

• Continuum mechanical description of blood flow
• Mechanical models of blood vessel walls
• Analysis of Newtonian and non-Newtonian fluid models
• Numerical methods for flow simulation
• Aspects of mesh and model adaptivity
• Particle transport in viscous flows
• Flows through systems of pipes
• Fluid-structure interaction in blood vessels

Prerequisites

The attendees are requested to have a basic knowledge in at least one of the following disciplines. Pdf files of suggested readings can be found at http://numerik.uni-hd.de/Oberwolfach-Seminar/.

• Continuum mechanics, with special emphasis on fluid mechanics and elasticity
• Nonlinear PDEs, with special emphasis on the Navier-Stokes equations
• Numerical methods for PDEs

Suggested Literature

1. A. M. Robertson: To come.
2. G. P. Galdi: Introduction to Continuum Mechanics, Class Notes, Department of Mechanical Engineering, University of Pittsburgh, Fall Semester 2002.
3. G. P. Galdi: An Introduction to the Navier-Stokes Initial-Boundary Value Problem, in Fundamental Directions in Mathematical Fluid Mechanics (P. Galdi, J. Heywood and R. Rannacher, eds), pp. 191-293, Birkhäuser, Basel, 2000.
4. R. Rannacher: Finite Element Methods for the Incompressible Navier-Stokes Equations, in Fundamental Directions in Mathematical Fluid Mechanics (P. Galdi, J. Heywood and R. Rannacher, eds), pp. 191-293, Birkhäuser, Basel, 2000.
5. S. Turek: FeatFlow, Software and Examples of Flow Simulations, http://www.featflow.de.
6. S. Turek: FeatFlow, Springschool 2002.

Deadline for applications:

October 6th, 2005

The seminars take place at the Mathematisches Forschungsinstitut Oberwolfach. The number of participants is restricted to 24. The Institute covers accommodation and food. Travel expenses cannot be reimbursed. Applications including

• full name and address, including e-mail address
• present position, university
• name of supervisor of Ph.D. thesis
• a short summary of previous work and interest

should be sent as hard copy or by e-mail (.ps or .pdf file) to:

Prof. Dr. Gert-Martin Greuel
Universität Kaiserslautern
Fachbereich Mathematik
Erwin Schrödingerstr.
67663 Kaiserslautern, Germany
.