Sloshing dynamics of shallow water tanks: Modal characteristics of hydraulic jumps

2021 ◽  
Vol 104 ◽  
pp. 103322
Author(s):  
Saravanan Gurusamy ◽  
V.S. Sanapala ◽  
Deepak Kumar ◽  
B.S.V. Patnaik
Keyword(s):  
Shallow Water ◽  
Hydraulic Jumps ◽  
Modal Characteristics ◽  
Sloshing Dynamics ◽  
Water Tanks

scholarly journals Kelvin wave hydraulic control induced by interactions between vortices and topography

2011 ◽  
Vol 687 ◽  
pp. 194-208 ◽  
Author(s):  
Andrew McC. Hogg ◽  
William K. Dewar ◽  
Pavel Berloff ◽  
Marshall L. Ward
Keyword(s):  
Shallow Water ◽  
Analytical Solutions ◽  
Critical Condition ◽  
Numerical Models ◽  
Kelvin Waves ◽  
Water Model ◽  
Hydraulic Jumps ◽  
Hydraulic Control ◽  
Kelvin Wave ◽  
Shallow Water Model

AbstractThe interaction of a dipolar vortex with topography is examined using a combination of analytical solutions and idealized numerical models. It is shown that an anticyclonic vortex may generate along-topography flow with sufficient speeds to excite hydraulic control with respect to local Kelvin waves. A critical condition for Kelvin wave hydraulic control is found for the simplest case of a 1.5-layer shallow water model. It is proposed that in the continuously stratified case this mechanism may allow an interaction between low mode vortices and higher mode Kelvin waves, thereby generating rapidly converging isopycnals and hydraulic jumps. Thus, Kelvin wave hydraulic control may contribute to the flux of energy from mesoscale to smaller, unbalanced, scales of motion in the ocean.

Nonsimilar solutions of the viscous shallow water equations governing weak hydraulic jumps

2010 ◽  
Vol 22 (11) ◽  
pp. 112108 ◽  
Author(s):  
Ratul Dasgupta ◽  
Rama Govindarajan
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Hydraulic Jumps ◽  
Nonsimilar Solutions

scholarly journals A shallow water analogue of asymmetric core-collapse, and neutron star kick/spin

2011 ◽  
Vol 7 (S279) ◽  
pp. 134-137
Author(s):  
Thierry Foglizzo ◽  
Frédéric Masset ◽  
Jérôme Guilet ◽  
Gilles Durand
Keyword(s):  
Neutron Star ◽  
Shallow Water ◽  
Acoustic Waves ◽  
Large Scale ◽  
Massive Stars ◽  
Core Collapse ◽  
Hydraulic Jumps ◽  
Core Collapse Supernova ◽  
Accretion Shock

AbstractMassive stars end their life with the gravitational collapse of their core and the formation of a neutron star. Their explosion as a supernova depends on the revival of a spherical accretion shock, located in the inner 200km and stalled during a few hundred milliseconds. Numerical simulations suggest that the large scale asymmetry of the neutrino-driven explosion is induced by a hydrodynamical instability named SASI. Its non radial character is able to influence the kick and the spin of the resulting neutron star. The SWASI experiment is a simple shallow water analog of SASI, where the role of acoustic waves and shocks is played by surface waves and hydraulic jumps. Distances in the experiment are scaled down by a factor one million, and time is slower by a factor one hundred. This experiment is designed to illustrate the asymmetric nature of core-collapse supernova.

Asynchronous whirl in a rotating cylinder partially filled with liquid

1985 ◽  
Vol 150 ◽  
pp. 311-327 ◽  
Author(s):  
A. S. Berman ◽  
T. S. Lundgren ◽  
A. Cheng
Keyword(s):  
Surface Waves ◽  
Shallow Water ◽  
Solitary Waves ◽  
Water Waves ◽  
Rotating Cylinder ◽  
The Self ◽  
Hydraulic Jumps ◽  
Centrifugal Forces ◽  
Shallow Water Waves ◽  
Analytical Results

Experimental and analytical results are presented for the self-excited oscillations that occur in a partially filled centrifuge when centrifugal forces interact with shallow-water waves. Periodic and aperiodic modulations of the basic whirl phenomena are both observed and calculated. The surface waves are found to be hydraulic jumps, undular bores or solitary waves.

Constitutive surfaces in fluid mechanics

1980 ◽  
Vol 88 (3) ◽  
pp. 517-546 ◽  
Author(s):  
M. J. Sewell ◽  
D. Porter
Keyword(s):  
Flow Stress ◽  
Shock Waves ◽  
Fluid Mechanics ◽  
Total Energy ◽  
Special Reference ◽  
Shallow Water ◽  
Gas Dynamics ◽  
Inviscid Fluid ◽  
Hydraulic Jumps ◽  
Shallow Water Theory

AbstractThe new concept of a constitutive surface is introduced into inviscid fluid mechanics, with special reference to compressible gas dynamics and to shallow water theory. The detailed shape of such surfaces is calculated, including the manner of their transition across singularities where the Mach or Froude number passes through unity. The calculation draws upon recent work describing the transition of a Legendre transformation through its singularity. For example, mass flow Q, total energy h and flow stress P are always related by part of a ‘swallowtail’ surface, regardless of the particular motion.The addition of dynamical conditions defines particle history tracks which always lie on constitutive surfaces even for unsteady flow, except that they may jump from one part to another of such a surface when shock waves or hydraulic jumps are passed through.Illustrations given include the steady flow of a general gas through a standing normal shock, general shallow water theory, and flow along a sloping-sided channel. Connections with existing literature are described.

scholarly journals Comparison between 2D Shallow-Water Simulations and Energy-Momentum Computations for Transcritical Flow Past Channel Contractions

Water ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 1476 ◽  
Author(s):  
Luis Cueto-Felgueroso ◽  
David Santillán ◽  
Jaime H. García-Palacios ◽  
Luis Garrote
Keyword(s):  
Shallow Water ◽  
River Flow ◽  
Computational Cost ◽  
Flow Structures ◽  
Width Ratio ◽  
Hydraulic Jumps ◽  
Supercritical Flow ◽  
Flow Past ◽  
Wide Range ◽  
Transcritical Flow

Multidimensional simulators of channel and river flow are widely used in industry and academia, raising the question about whether the classical one-dimensional theory of open-channel flow remains relevant in hydraulic engineering. Channel contractions that induce transcritical flow are interesting scenarios to test the classical 1D theory against multidimensional simulations, because supercritical flow in channels of variable width leads to multidimensional flow structures. Transcritical flows are important in practice, because the ensuing hydraulic jumps and regions of supercritical flow may damage hydraulic structures that otherwise operate under tranquil conditions. We compare well-resolved simulations of the 2D shallow-water Equations (SWE) with 1D energy-momentum calculations for flow past symmetric channel contractions. We analyze the accuracy of the classical energy-momentum gradually-varied flow theory to predict the onset of regime transitions and the location of hydraulic jumps. We test the relative performance of the 1D theory for different constriction geometries, and identify the flow mechanisms behind the discrepancies between the 1D and 2D predictions. The grid resolution used in the 2D SWE plays an important role in these predictions, because coarse-grid 2D simulations yield essentially quasi-1D results. Considering its simplicity and negligible computational cost compared with the 2D SWE simulations, the classical 1D theory performs remarkably well for a wide range of flow conditions and contraction geometries. In contrast, we observe large deviations between the 1D and 2D models in flow past abrupt contractions with a large width ratio, as expected. Only modified versions of the 1D theory, taking into account intense local head losses and the propagation of spatial flow structures downstream from the contraction, can succeed at describing these flow scenarios.

scholarly journals Numerical shockwave anomalies in the resolu- tion of the Shallow Water Equations with bed variations

2018 ◽  
Vol 40 ◽  
pp. 05026
Author(s):  
Adrian Navas-Montilla ◽  
Javier Murillo
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Scientific Community ◽  
Hyperbolic Systems ◽  
Hydraulic Jumps ◽  
Riemann Solvers ◽  
Systems Of Conservation Laws ◽  
Spurious Oscillations ◽  
Transient Events ◽  
Variable Topography

The presence of numerical shockwave anomalies appearing in the resolution of hyperbolic systems of conservation laws is a well-known problem in the scientific community. The most common anomalies are the carbuncle and the slowly-moving shock anomaly. They have been studied for decades in the framework of Euler equations, but only a few authors have considered such problems for the Shallow Water Equations (SWE). In this work, the SWE are considered and the aforementioned anomalies are studied. They arise in presence of hydraulic jumps, which are transcritical shockwaves mathematically modelled as a pure discontinuity. When solving numerically such discontinuities, an unphysical intermediate state appears and gives rise to a spurious spike in the momentum. This is observed in the numerical solution as a spike in the discharge appearing in the cell containing the jump. The presence of the spurious spike in the discharge has been taken for granted by the scientific community and has even become a feature of the solution. Even though it does not disturb the rest of the solution in steady cases, it produces an undesirable shedding of spurious oscillations downstream when considering transient events. We show how it is possible to define a coherent spike reduction technique that reduces the magnitude of this anomaly and ensures convergence to the exact solution with mesh refinement. Concerning the carbuncle, which may also appear in presence of strong hydraulic jumps, a combination of Riemann solvers is proposed to circumvent it. Also, it will be shown how there is still room from improvement when treating anomalies in moving hydraulic jumps over variable topography.

scholarly journals Beyond Shallow Water: Appraisal of a numerical approach to hydraulic jumps based upon the Boundary Layer theory

2020 ◽  
Vol 79 ◽  
pp. 233-246 ◽  
Author(s):  
Francesco De Vita ◽  
Pierre-Yves Lagrée ◽  
Sergio Chibbaro ◽  
Stéphane Popinet
Keyword(s):  
Boundary Layer ◽  
Shallow Water ◽  
Numerical Approach ◽  
Boundary Layer Theory ◽  
Hydraulic Jumps

scholarly journals Numerical simulations of hydraulic jumps with the Shear Shallow Water model

2018 ◽  
Vol 4 ◽  
pp. 319-344 ◽  
Author(s):  
Argiris I. Delis ◽  
Hervé Guillard ◽  
Yih-Chin Tai
Keyword(s):  
Numerical Simulations ◽  
Shallow Water ◽  
Water Model ◽  
Hydraulic Jumps ◽  
Shallow Water Model
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