• numerical solution of shallow water equations to simulate shallow liquid behavior

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 731
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     shallow water equations can properly approximate fluid motion when its density is homogenous and depth is small in comparison to characteristic horizontal distances. they can simulate coastal processes, reducing complicated three and two dimensional problems to two and one dimensional, respectively. in this paper a model of shallow liquid behavior is simulated numerically, deriving the governing equations from shallow water equations. the model is defined by a pair of partial differential equations which is solved by different numerical solution techniques. the governing equations are discretized in time and space.  spatial discretized equation is solved using fast fourier transform,gaussian elimination,lu decomposition, or iterative methods.the performance of these techniques on shallow water simulation with regards to execution time and accuracy is discussed. the results showed that lu decomposition have the best speed with very good accuracy.

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