بکارگیری روش‌های پرش قورباغه و لکس درمدل سازی دو بعدی شکست سد به روش تفاضل محدود صریح

نوع مقاله: مقاله پژوهشی

چکیده

برای حل معادلات آبهای کم عمق در جریان ناشی از شکست سد در مجاری روباز، روش تفاضل محدود صریح با استفاده توام از روش­های پرش قورباغه و لکس به­کار گرفته شد. معادلات حاکم بر روی یک مش زیگزاگی منفصل شدند. صحت­سنجی مدل با مقایسه نتایج آن با جواب حل تحلیلی شکست تک بعدی ناگهانی سد بر روی بستر بدون اصطکاک و همچنین مقایسه نتایج ناشی از شکست دوبعدی ستون استوانه­ای آب با نتایج برخی محققان انجام شد. در ادامه نتایج مدل برای شکست جزیی متقارن با داده­های آزمایشگاهی موجود مقایسه شد. در تمام موارد مدل حاضر با دقت مناسب جریان ناشی از شکست سد را شبیه­سازی کرد.

کلیدواژه‌ها


عنوان مقاله [English]

Application of Lax and Leap-Frog Schemes in Two-Dimensional Modeling of Dam Breaking Using Explicit Finite- Difference Method

چکیده [English]

Explicit finite- difference along with the combination of Lax and Leap-Frog schemes have been used to solve the 2D shallow water equations (SWE) to describe the free surface dam break flow in open channels. Discretization of SWE were carried out on a staggered grid. The model assessment was carried out by comparing the model results with the results of the analytical solution of a one-dimensional instantaneous dam break over a flat bed without friction and also with some researcher’s numerical data for two-dimensional break of a circular column of water. Then the model results were compared with the present experimental data of a symmetry partial dam break. In all cases, the model could simulate the dam break flow with an appropriate accuracy.

کلیدواژه‌ها [English]

  • Dam break
  • Lax scheme
  • Leap-Frog scheme
  • Numerical simulation
  • Shallow water equations
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