A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion
نویسندگان
چکیده
منابع مشابه
Dynamically coupled fluid-body interactions in vorticity-based numerical simulations
A novel method is presented for robustly simulating coupled dynamics in fluid–body interactions with vorticity-based flow solvers. In this work, the fluid dynamics are simulated with a viscous vortex particle method. In the first substep of each time increment, the fluid convective and diffusive processes are treated, while a predictor is used to independently advance the body configuration. An...
متن کاملA Variational Characterization of Fluid Sloshing with Surface Tension
Sloshing refers to the free surface motion of a fluid in a container. We study the linearized sloshing problem of an incompressible, inviscid, irrotational fluid in a container, where we focus on the regime where the effect of surface tension dominates the effect of gravity. This is especially important in the microgravity environment, where scientists and engineers have worked to improve our u...
متن کاملA variational principle for two-fluid models
A variational principle for two-fluid mixtures is proposed. The Lagrangian is constructed as the difference between the kinetic energy of the mixture and a thermodynamic potential conjugated to the internal energy with respect to the relative velocity of phases. The equations of motion and a set of RankineHugoniot conditions are obtained. It is proved also that the convexity of the internal ene...
متن کاملInstability of sloshing motion in a vessel undergoing pivoted oscillations
Suspending a rectangular vessel partially filled with an inviscid fluid from a single rigid pivoting rod produces an interesting physical model for investigating the dynamic coupling between the fluid and vessel motion. The fluid motion is governed by the Euler equations relative to the moving frame of the vessel, and the vessel motion is given by a modified forced pendulum equation. The fully ...
متن کاملVariational fluid motion estimation with physical priors
In this thesis, techniques for Particle Image Velocimetry (PIV) and Particle Tracking Velocimetry (PTV) are developed that are based on variational methods. The basic idea is not to estimate displacement vectors locally and individually, but to estimate vector fields as a whole by minimizing a suitable functional defined over the entire image domain (which may be 2D or 3D and may also include t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2019
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2018.0642