scholarly journals Erratum: “Gravity currents flowing upslope: Laboratory experiments and shallow-water simulations” [Phys. Fluids 27, 016602 (2015)]

2015 ◽  
Vol 27 (8) ◽  
pp. 089902
Author(s):  
V. Lombardi ◽  
C. Adduce ◽  
G. Sciortino ◽  
M. La Rocca
Keyword(s):  
Shallow Water ◽  
Laboratory Experiments ◽  
Gravity Currents

Laboratory experiments and shallow water simulations of gravity currents moving on flat and up-sloping beds

2014 ◽  
pp. 89-95
Author(s):  
C Adduce ◽  
V Lombardi ◽  
G Sciortino ◽  
M La Rocca ◽  
M Morganti
Keyword(s):  
Shallow Water ◽  
Laboratory Experiments ◽  
Gravity Currents

Gravity currents flowing upslope: Laboratory experiments and shallow-water simulations

2015 ◽  
Vol 27 (1) ◽  
pp. 016602 ◽  
Author(s):  
V. Lombardi ◽  
C. Adduce ◽  
G. Sciortino ◽  
M. La Rocca
Keyword(s):  
Shallow Water ◽  
Laboratory Experiments ◽  
Gravity Currents

Propagation of viscous currents on a porous substrate with finite capillary entry pressure

2016 ◽  
Vol 801 ◽  
pp. 65-90 ◽  
Author(s):  
Roiy Sayag ◽  
Jerome A. Neufeld
Keyword(s):  
Laboratory Experiments ◽  
Gravity Current ◽  
Fluid Pressure ◽  
Analytical Techniques ◽  
Gravity Currents ◽  
Porous Substrate ◽  
Entry Pressure ◽  
Self Similar ◽  
Capillary Entry Pressure ◽  
Theoretical Results

We study the propagation of viscous gravity currents over a thin porous substrate with finite capillary entry pressure. Near the origin, where the current is deep, propagation of the current coincides with leakage through the substrate. Near the nose of the current, where the current is thin and the fluid pressure is below the capillary entry pressure, drainage is absent. Consequently the flow can be characterised by the evolution of drainage and fluid fronts. We analyse this flow using numerical and analytical techniques combined with laboratory-scale experiments. At early times, we find that the position of both fronts evolve as $t^{1/2}$, similar to an axisymmetric gravity current on an impermeable substrate. At later times, the growing effect of drainage inhibits spreading, causing the drainage front to logarithmically approach a steady position. In contrast, the asymptotic propagation of the fluid front is quasi-self-similar, having identical structure to the solution of gravity currents on an impermeable substrate, only with slowly varying fluid flux. We benchmark these theoretical results with laboratory experiments that are consistent with our modelling assumption, but that also highlight the detailed dynamics of drainage inhibited by finite capillary pressure.

A combined computational algorithm for solving the problem of long surface waves runup on the shore

2016 ◽  
Vol 31 (4) ◽  
Author(s):  
Yurii I. Shokin ◽  
Alexander D. Rychkov ◽  
Gayaz S. Khakimzyanov ◽  
Leonid B. Chubarov
Keyword(s):  
Numerical Simulation ◽  
Shallow Water ◽  
Nonlinear Waves ◽  
Laboratory Experiments ◽  
Computational Algorithm ◽  
Analytic Solutions ◽  
Shallow Water Theory ◽  
Sph Method ◽  
Weakly Nonlinear ◽  
Strongly Nonlinear

AbstractIn the present paper we study features and abilities of the combined TVD+SPH method relative to problems of numerical simulation of long waves runup on a shore within the shallow water theory. The results obtained by this method are compared to analytic solutions and to the data of laboratory experiments. Examples of successful application of the TVD+SPH method are presented for the case of study of runup processes for weakly nonlinear and strongly nonlinear waves, and also for

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