scholarly journals Numerical Simulation of Coastal Flows with Passive Pollutant by Regularized Hydrodynamic Equations in Shallow Water Approximation

2019 ◽  
Author(s):  
T. Elizarova ◽  
A. Ivanov
Keyword(s):  
Numerical Simulation ◽  
Shallow Water ◽  
Hydrodynamic Equations ◽  
Shallow Water Approximation

NUMERICAL SIMULATION OF TWO-PHASES FLOW ON PUMPS INLET SYSTEM FOR SHALLOW WATER

2019 ◽  
Author(s):  
Livio Sebastián Maglione ◽  
Guillermo Muschiatto ◽  
Raúl Alberto DEAN
Keyword(s):  
Numerical Simulation ◽  
Shallow Water ◽  
Inlet System ◽  
Two Phases ◽  
Two Phases Flow

scholarly journals Shallow water waves in a rotating rectangular basin

2000 ◽  
Vol 24 (10) ◽  
pp. 649-661 ◽  
Author(s):  
Mohamed Atef Helal
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Equations Of Motion ◽  
System Of Nonlinear Equations ◽  
System Of Equations ◽  
Order Of Approximation ◽  
Shallow Water Waves ◽  
Nonlinear System Of Equations ◽  
Rectangular Basin ◽  
Shallow Water Approximation

This paper is mainly concerned with the motion of an incompressible fluid in a slowly rotating rectangular basin. The equations of motion of such a problem with its boundary conditions are reduced to a system of nonlinear equations, which is to be solved by applying the shallow water approximation theory. Each unknown of the problem is expanded asymptotically in terms of the small parameterϵwhich generally depends on some intrinsic quantities of the problem of study. For each order of approximation, the nonlinear system of equations is presented successively. It is worthy to note that such a study has useful applications in the oceanography.

RECENT DEVELOPMENTS IN THE NUMERICAL SIMULATION OF SHALLOW WATER EQUATIONS II: TEMPORAL DISCRETIZATION

1994 ◽  
Vol 04 (04) ◽  
pp. 533-556 ◽  
Author(s):  
V. AGOSHKOV ◽  
E. OVCHINNIKOV ◽  
A. QUARTERONI ◽  
F. SALERI
Keyword(s):  
Numerical Simulation ◽  
Finite Element ◽  
Finite Difference ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Numerical Results ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
Recent Developments ◽  
Numerical Approaches

This paper deals with time-advancing schemes for shallow water equations. We review some of the existing numerical approaches, propose new schemes and investigate their stability. We present numerical results obtained using the time-advancing schemes proposed, with finite element and finite difference approximation in space variables.

Cuspon-type Waves and Their Properties

2021 ◽  
Vol 24 (2) ◽  
pp. 145-155
Author(s):  
G. Omel’yanov
Keyword(s):  
Shallow Water ◽  
Traveling Waves ◽  
Water Surface ◽  
First Derivative ◽  
Shallow Water Approximation

The general Degasperis-Prosesi equation (gDP) describes the evolution of the water surface in a unidirectional shallow water approximation. We consider essentially non-integrable versions of this model and analyze their cuspon-type solutions, that is continuous traveling waves with the unbounded first derivative.

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