We introduce a concept of weak solution for a boundary value problem modelling the motion of a rigid body immersed in a viscous fluid. The time variation of the fluid's domain (due to the motion of the rigid body) is not known a priori, so we deal with a free boundary value problem....
The expression "elementary cases of motion of a rigid body with fluid-filled cavities" is here used to refer to instances in which the motion of the fluid in the cavity can be described completely by a finite number of variables. Obviously this is only possible when the fluid fills the ...
Tucsnak. Existence of solutions for the equations modelling the motion of a rigid body in a viscous fluid. Commun. Partial Differential Equations, 25:1019–1042, 2000. Article MATH Google Scholar B. Desjardins and M.J. Esteban. Existence of weak solutions for the motion of rigid bodies in...
Global stability of rigid-body-motion fluid-structure-interaction problems A rigorous derivation and validation for linear fluid-structure-interaction (FSI) equations for a rigid-body-motion problem is performed in an Eulerian framework. We show that the added-stiffness terms arising in the formulation...
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...
Takahashi. Smoothness of the motion of a rigid body immersed in an incompressible perfect fluid. Ann. Sci. E´c. Norm. Sup´er. (4), 45(1):1-51, 2012. 2O. Glass, F. Sueur, T. Takahashi, Smoothness of the motion of a rigid body immersed in an incompressible perfect fluid, ...
Rigid BodyVariational InequalityIntegral IdentityViscous Incompressible FluidThe author proves solvability for the initial-boundary value problem of the motion of a non-Newtonian incompressible fluid with inhomogeneous viscosity. It is demonstrated that, if the initial values of the viscosity tend to ...
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 ...
An analysis is made of the force and moment exerted on a rigid body in unsteady motion in a uniform incompressible, viscous or inviscid fluid. Integral for... HOWE M. S - 《Quarterly Journal of Mechanics & Applied Mathematics》 被引量: 121发表: 1995年 Existence of solutions for the equati...
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...