ارائه الگوریتم مرز غوطه ور شبکه بولتزمن- شبکه فنر جهت بررسی رفتار صفحه تغییر شکل پذیر دوبعدی تحت اثر جریان سیال

نوع مقاله : مقاله پژوهشی

نویسندگان

دانشکده مهندسی مکانیک، دانشگاه صنعتی شاهرود، شاهرود، ایران

چکیده

در این مطالعه یک روش ترکیبی و دوبعدی مرز غوطه ور- شبکه بولتزمن- شبکه فنر پیشنهاد شده است. در این روش ترکیبی از معادلات شبکه بولتزمن به علاوه الگوریتم اعمال نیروی چندمرحله‌ای به عنوان حل‌گر دامنه سیال و از روش مرز غوطه ور برای محاسبه نیروی اندرکنشی سیال و جامد استفاده شده است. برای تحلیل تغییر شکل جسم نیز روش شبکه فنر به کار گرفته شده است. در این مدل، جسم جامد به صورت مجموعه ای از فنرهای خطی فرض می‌شود که به صورت منظم در کنار هم قرار می‌گیرند. جهت کاهش ناپایداری‌ها و محدودیت‌های موجود در انتخاب سایز شبکه و گام زمانی رو ش‌های ترکیبی قبلی شبکه بولتزمن- شبکه فنر، در این مطالعه برای اولین بار یک الگوریتم ضمنی شبکه فنر منطبق بر روش مرز غوطه ور- شبکه بولتزمن ارائه شده است. درنهایت، حل‌گرهای سیال و جامد به ترتیب با شبیه‌سازی جریان عبوری از روی جسم صلب و همچنین تغییر شکل تیر یک سرگیردار تحت بارگذاری محوری و خمشی صحت سنجی می‌شوند. سپس یک صفحه دوبعدی الاستیک که در قسمت میانی خود ثاب تشده در حضور جریان سیال شبیه‌سازی می‌شود. نتایج عددی در کد توسعه داده شده با استفاده از نرم افزار کامسول نیز جهت اطمینان بیشتر مقایسه می‌شود که دقت این روش ترکیبی را نشان می‌دهد. همین طور نشان داده می‌شود که کاهش صلبیت صفحه باعث کاهش ضریب درگ و همین طور به تعویق افتادن شروع شرایط ناپایا در جریان حول صفحه می‌شود

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Proposing Immersed Boundary-Lattice Boltzmann-Lattice Spring Algorithm for Simulation of 2-D Deformable Plate in Steady Flow

نویسندگان [English]

  • B. Afra
  • M. Nazari
  • M.H. Keyhani
Mechanical Engineering Department, Shahrood University of Technology, Shahrood, Iran
چکیده [English]

An immersed boundary-lattice Boltzmann method along with a lattice spring configuration is proposed. Fluid-solid interaction was accounted for by an additional force density in the lattice Boltzmann equation enhanced with the split-forcing approach. To analyze deformation of a flexible body, a robust lattice spring model is implemented. In this way, solid body is considered by collection of linear springs which are connected regularly inside the body. To reduce instabilities and limitation in selection of lattice spring length and time step, for the first time, we extended an implicit approach based on lattice Boltzmann-lattice spring method. Finally, flow and solid solvers are respectively validated by simulation of flow over a rigid plate and deformation of cantilever beam under axial and bending forces. Then, a deformable plate which is fixed in the middle is simulated. Results are also compared with the results of COMSOL’s software which show accuracy of the presented hybrid method. It is also shown that decreasing of the rigidity of the plate causes reduction of drag coefficient and retardation in initiation of the unsteady conditions.

کلیدواژه‌ها [English]

  • Immersed boundary
  • Lattice Boltzmann method
  • Lattice spring model
  • Poisson’s ratio
  • Thin Plate
  • Critical Reynolds number
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