rigid body motioncritical spacesglobal existenceWe consider the inertial motion of a system constituted by a rigid body with an interior cavity entirely filled with a viscous incompressible fluid. Navier boundary conditions are imposed on the cavity surface. We prove the existence of weak solutions ...
It is shown that a standard explicit coupling procedure or an implicit coupling procedure with explicit coupling in the subiterations steps can lead to unstable motion depending on the size of the gaps, the density of the rigid body, and the density of the fluid. It is proven that a ...
The rigidity of such an object is maintained by identifying the region of the velocity field that is inside the object and constraining those velocities to be rigid body motion. The rigid fluid method is straightforward to implement, incurs very little computational overhead, and can be added as...
Sueur, T. Takahashi, Smoothness of the motion of a rigid body immersed in an incom- pressible perfect fluid. Ann. Sci. E. N. S. 45 (2012), no. 1, 1-51.O. Glass, F. Sueur, T. Takahashi, Smoothness of the motion of a rigid body immersed in an incompressible perfect fluid. ...
We investigate the long-time behaviour of a coupled PDE–ODE system that describes the motion of a rigid body of arbitrary shape moving in a viscous incompressible fluid. We assume that the system formed by the rigid body and the fluid fills the entire space R 3 . \mathbb {R}^{3}. We...
On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid We consider the motion of a rigid body immersed in a bidimensional incompressible perfect fluid. The motion of the fluid is governed by the Euler equations... J Ortega,L Rosier,T Takahashi - 《Annales De ...
motion 是设置这个fluid区域里面的所有控制体运动的，Dynamic Mesh Zones内Rigid Body 是设置运动区域，...
More precisely, we consider the interaction between a moving rigid body and a viscous and incompressible fluid. Assuming a low Reynolds regime, the inertial forces can be neglected and, therefore, the fluid motion is modelled by the Stokes system. We first prove the well posedness of the ...
M. (2002) On the Motion of a Body with a Rigid Shell and Variable Mass Geometry in a Perfect Fluid. Dokl. Ross. Akad. Nauk 382: pp. 478-481V. V. Kozlov and S. M. Ramodanov, On the motion of a body with rigid shell and variable mass geometry in a perfect fluid, Doklady ...
In this paper we consider the motion of a rigid body immersed in a twodimensional unbounded incompressible perfect fluid with vorticity. We provethat when the body shrinks to a massless pointwise particle with fixedcirculation, the "fluid+rigid body" system converges to the vortex-wave systemintrod...