scholarly journals Hydrodynamics of two-dimensional compressible fluid with broken parity: Variational principle and free surface dynamics in the absence of dissipation

2020 ◽  
Vol 5 (10) ◽  
Author(s):  
Alexander G. Abanov ◽  
Tankut Can ◽  
Sriram Ganeshan ◽  
Gustavo M. Monteiro
Keyword(s):  
Free Surface ◽  
Variational Principle ◽  
Compressible Fluid ◽  
Two Dimensional ◽  
Surface Dynamics ◽  
Free Surface Dynamics

Numerical modelling of free surface dynamics of conductive melt in induction crucible furnace

2010 ◽  
Vol 46 (4) ◽  
pp. 425-436 ◽  
Author(s):  
S. Spitans ◽  
A. Jakovičs ◽  
E. Baake ◽  
B. Nacke
Keyword(s):  
Free Surface ◽  
Numerical Modelling ◽  
Surface Dynamics ◽  
Crucible Furnace ◽  
Free Surface Dynamics

scholarly journals A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion

2019 ◽  
Vol 475 (2224) ◽  
pp. 20180642 ◽  
Author(s):  
H. Alemi Ardakani ◽  
T. J. Bridges ◽  
F. Gay-Balmaz ◽  
Y. H. Huang ◽  
C. Tronci
Keyword(s):  
Boundary Condition ◽  
Free Surface ◽  
Variational Principle ◽  
Stream Function ◽  
Fluid Motion ◽  
Two Dimensional ◽  
Euclidean Group ◽  
Fluid Sloshing ◽  
Pressure Boundary Condition ◽  
Vessel Motion

A variational principle is derived for two-dimensional incompressible rotational fluid flow with a free surface in a moving vessel when both the vessel and fluid motion are to be determined. The fluid is represented by a stream function and the vessel motion is represented by a path in the planar Euclidean group. Novelties in the formulation include how the pressure boundary condition is treated, the introduction of a stream function into the Euler–Poincaré variations, the derivation of free surface variations and how the equations for the vessel path in the Euclidean group, coupled to the fluid motion, are generated automatically.

On the precision of optical imaging to study free surface dynamics at high frame rates

2009 ◽  
Vol 47 (2) ◽  
pp. 251-261 ◽  
Author(s):  
E. J. Vega ◽  
J. M. Montanero ◽  
J. Fernández
Keyword(s):  
Free Surface ◽  
Optical Imaging ◽  
Surface Dynamics ◽  
Free Surface Dynamics

Strongly Nonlinear Phenomena in Extreme Waves

2015 ◽  
Author(s):  
Alessandro Iafrati ◽  
Francesco Vita ◽  
Alessandro Toffoli ◽  
Alberto Alberello
Keyword(s):  
Free Surface ◽  
Modulational Instability ◽  
Numerical Approach ◽  
Nonlinear Phenomena ◽  
Surface Dynamics ◽  
Extreme Waves ◽  
Strongly Nonlinear ◽  
Free Surface Waves ◽  
Steep Waves ◽  
Free Surface Dynamics

In this paper the breaking of steep free surface waves is investigated by a two-fluid numerical approach. The study is focused at providing estimates of the energy dissipation and the variations to the spectrum associated to the breaking process. The simulations make available a highly refined description of the flow in both air and water which is also important for the estimates of load in severe conditions. Two different approaches are used to produce steep waves. A first approach exploits the classical Benjamin-Feir instability which generates extreme waves through the modulational instability process. In a second application a more realistic, narrow-banded, JONSWAP spectrum is used. Results are presented in terms of free surface dynamics and energy, separated in kinetic and potential components. The changes operated by the breaking occurrence on the spectrum are also discussed.

Sign in / Sign up

Export Citation Format

Share Document