JP Journal of Heat and Mass Transfer
Volume 19, Issue 1, Pages 57 - 71
(February 2020) http://dx.doi.org/10.17654/HM019010057 |
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NUMERICAL SOLUTION OF THE TWO LAYER SHALLOW WATER EQUATION USING FINITE VOLUME METHOD
Arnasyita Yulianti Soelistya and Sumardi
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Abstract: The two layer shallow water equation (SWE) consists of the equations obtained from mass conservation and momentum conservation. This paper discussed the model of the two layer SWE in the form of a nonlinear partial differential equation system. The numerical solution of the two layer SWE is approached using finite volume method. This method resolves the equation through control volume and is discounted into a new equation by dividing the domain into many cells and taking the value of the average quantity approach in each cell. At all times, these values are updated by the flux approach at the end of each cell. The numerical scheme is Godunov scheme, which in its derivation uses approximating the solution as the sum of the piecewise functions defined on each grid-cell. This Godunov scheme simplifies the calculation by solving the Riemann problem. Then it simulates in several cases using existing parameters. |
Keywords and phrases: two layer shallow water equation, finite volume method, Godunov scheme.
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