Numerical Simulation of Cardiovasular Transport Process

Development of efficient numerical techniques and procedures on the basis of a recently developed finite element Navier-Stokes solver for time dependent, three-dimensional Newtonian and non-Newtonian inelastic flow. The method applies a decomposition theorem of a vector field; the concept results in a Burger-step and in a projection-step. The advantage of the method is an uncoupling of the occurring variables resulting in an effective calculation algorithm. Further developments concern viscoelastic flows. Equation systems: Development of a modified bi-conjugate gradient algorithm for non-symmetric matrices. Essential features are the application of an optimal pre-conditioning technique and compact storage of the sparse finite element matrices. (Part of the institute's research concerning Numerical Simulation of Newtonian and Non-Newtonian Flow and of Convention-Diffusion Processes) The developed finite element methods for the Navier-Stokes equations and for the convection-diffusion equation (high Peclet number) use parameter controlled streamline upwind techniques.