Ducomet, Bernard, Nečasová, Šárka
Similarity:
The global existence of weak solution is proved for the problem of the motion of several rigid bodies in a barotropic compressible fluid, under the influence of gravitational forces.
A. Decoene, S. Martin, B. Maury (2011)
Mathematical Modelling of Natural Phenomena
Similarity:
We present two-dimensional simulations of chemotactic self-propelled bacteria swimming in a viscous fluid. Self-propulsion is modelled by a couple of forces of same intensity and opposite direction applied on the rigid bacterial body and on an associated region in the fluid representing the flagellar bundle. The method for solving the fluid flow and the motion of the bacteria is based on a variational formulation written on the whole domain, ...
Massoudi, Mehrdad, Antaki, James F. (2008)
Mathematical Problems in Engineering
Similarity:
Alessandro De Rosis (2015)
Curved and Layered Structures
Similarity:
The dynamic response of a deformable curved solid body is investigated as it interacts with a flow field. The fluid is assumed to be viscous and the flow is nearly incompressible. Fluid dynamics is predicted through a lattice Boltzmann solver. Corotational beam finite elements undergoing large displacements are adopted to idealize the submerged body, whose presence in the lattice fluid background is handled by the immersed boundary method. The attention focuses on the solid’s deformation...
Rosar, M. E., Peskin, Charles S. (2001)
The New York Journal of Mathematics [electronic only]
Similarity:
Valášek, Jan, Sváček, Petr, Horáček, Jaromír
Similarity:
In this paper the fluid-structure interaction problem is studied on a simplified model of the human vocal fold. The problem is mathematically described and the arbitrary Lagrangian-Eulerian method is applied in order to treat the time dependent computational domain. The viscous incompressible fluid flow and linear elasticity models are considered. The fluid flow and the motion of elastic body is approximated with the aid of finite element method. An attention is paid to the applied stabilization...
Patrick Hild, Ioan R. Ionescu, Thomas Lachand-Robert, Ioan Roşca (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
This work is concerned with the flow of a viscous plastic fluid. We choose a model of Bingham type taking into account inhomogeneous yield limit of the fluid, which is well-adapted in the description of landslides. After setting the general threedimensional problem, the blocking property is introduced. We then focus on necessary and sufficient conditions such that blocking of the fluid occurs. The anti-plane flow in twodimensional and onedimensional cases is considered. A variational...
Massoudi, Mehrdad (2005)
Mathematical Problems in Engineering
Similarity:
Eduard Feireisl (2002)
Applications of Mathematics
Similarity:
We consider the problem of motion of several rigid bodies in a viscous fluid. Both compressible and incompressible fluids are studied. In both cases, the existence of globally defined weak solutions is established regardless possible collisions of two or more rigid objects.