To the numerical simulation and propagation of tsunami according to the shallow water equations

2008 ◽  
pp. 487-491 ◽  
Author(s):  
Yu. I. Shokin ◽  
An. G. Marchuk ◽  
L. B. Chubarov
Keyword(s):  
Numerical Simulation ◽  
Shallow Water ◽  
Shallow Water Equations

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.

Numerical simulation of flood inundation processes by 2D shallow water equations

2007 ◽  
Vol 1 (1) ◽  
pp. 107-113 ◽  
Author(s):  
Xinhua Zhang ◽  
Wenfei Long ◽  
Heping Xie ◽  
Jiahua Zhu ◽  
Jiangping Wang
Keyword(s):  
Numerical Simulation ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Flood Inundation ◽  
2D Shallow Water Equations

scholarly journals OpenMP Performance in Numerical Simulation of Dambreak Problem Using Shallow Water Equations

2020 ◽  
Vol 11 (1) ◽  
pp. 1
Author(s):  
Dr. Putu Harry Gunawan
Keyword(s):  
Numerical Simulation ◽  
Parallel Computing ◽  
Shallow Water ◽  
Water Flow ◽  
Shallow Water Equations ◽  
Human Life ◽  
Computational Cost ◽  
Warning System ◽  
Numerical Approach ◽  
Volume Method

Numerical simulation of water surface waves is widely used to describe water flow and its impact for human life. For instance, numerical simulation of waves is elaborated to simulate Tsunami as an early warning system. Using numerical approach, the study of water flow will reduce cost and save time compared with the conventional approach (in laboratory). Shallow water equations (SWE) is one of the mathematical models which can be used to describe water flow. In numerical simulation of SWE, finite volume method is a robust method to approximate SWE. The result using numerical approach depends on the number of grids. High number of grids then smooth solution can be obtained. However, increasing number of grids leads to the increasing of computational cost. In this paper, parallel computing using OpenMP platform is given in order to reduce computational cost of numerical simulation. In parallel computing performances, Speedup andEfficiency of numerical simulation using 6400 grids points are obtained 4 times and 51% respectively.Moreover, by several numbers of cores from 2 to 8, CPU time of parallel computing is shown decreasing along the increasing number of computer cores.

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