Kurzfassung
Materials encountered in industry and medicine often fall outside the classical models of Newtonian viscous fluids. The aim of the proposed project is deep understanding of complex behavior of shear-dependent non-Newtonian fluids in time-dependent moving domains. Thus, our aims are two-fold: theoretical analysis of the corresponding mathematical model and the development of a reliable numerical scheme for experimental simulations. Non-Newtonian fluids we have in mind belong to the class of...Materials encountered in industry and medicine often fall outside the classical models of Newtonian viscous fluids. The aim of the proposed project is deep understanding of complex behavior of shear-dependent non-Newtonian fluids in time-dependent moving domains. Thus, our aims are two-fold: theoretical analysis of the corresponding mathematical model and the development of a reliable numerical scheme for experimental simulations. Non-Newtonian fluids we have in mind belong to the class of shear-thinning/shear-thickening fluids, for which the viscous stress tensor is a nonlinear function of shear rate. They are extensively used in industry or biomedicine in order to simulate flow of technical oils, composites, polymers, biological fluids, etc. As an exemplatory application blood flow in compliant vessels will be considered in particular. To assure that the derived numerical schemes are robust and reliable for such complex models, an in-depth numerical analysis including convergence and error analysis will be necessary.» weiterlesen» einklappen
Veröffentlichungen
- Filo, Ján; Hundertmark-Zaušková, Anna
- A rescaling algorithm for the numerical solution to the porous medium equation in a two-component domain
- HUNDERTMARK-ZAUŠKOVÁ, Anna; LUKÁČOVÁ-MEDVIĎOVÁ, Mária; NEČASOVÁ, Šárka
- On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid
- Hundertmark, Anna; Lukáčová-Medviďová, Mária; Nečasová, Šárka
- On the weak solution of the fluid-structure interaction problem for shear-dependent fluid
- Lukáčová-Medvid’ová, M.; Rusnáková, G.; Hundertmark-Zaušková, A.
- Kinematic splitting algorithm for fluid–structure interaction in hemodynamics
- Hundertmark-Zaušková, A.; Lehmann, R.; Hess, M. et al.
- Numerical simulation of glottal flow
- HUNDERTMARK-ZAUSKOVÁ, Anna; LUKÁČOVÁ-MEDVIĎOVÁ, Mária; RUSNÁKOVÁ, Gabriela
- Fluid-structure interaction for shear-dependent fluids non-Newtonian fluids
- Hundertmark-Zaušková, A.; Lukáčová-Medvid’ová, M.
- Numerical study of shear-dependent non-Newtonian fluids in compliant vessels