Abstract
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.
Highlights
Dynamical movement of surface waves can be modeled using the various models
The study of water flow will reduce costs and save time compared with the conventional approach
Parallel computing using the OpenMP platform is given to reduce the computational cost of numerical simulation
Summary
Dynamical movement of surface waves can be modeled using the various models. The simple mathematical wave model to describe wave movement dynamically is known as Shallow water equations (SWE). This model is widely used in describing fluid flow problem, such as flow in canal, river, lakes, etc. It can be used to simulate Tsunami phenomena as an early warning system (see [1, 2, 3] for more detail). Model SWE is a system of hyperbolic equations which consists of two equations (mass and momentum conservation).
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