شبیه‌سازی گردابه‌های بزرگ جریان حول پله نامحدود با استفاده از الگوریتم عددی مرتبه بالا

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشکده فنی و مهندسی، دپارتمان مهندسی مکانیک، دانشگاه خوارزمی، تهران، ایران

2 دانشکده مهندسی مکانیک، پردیس دانشکده های فنی، دانشگاه تهران، تهران، ایران

چکیده

در مطالعه حاضر، جریان سه‌بعدی، غیر دائم و آشفته حول پله نامحدود با روش شبیه‌سازی گردابه‌های بزرگ به‌صورت عددی حل شده است. با توجه به قابلیت مناسب روش تفاضلی فشرده در حل عددی مرتبه بالای جریان تراکم‌پذیر، از این روش برای حل معادلات فیلترشده     ناویر- استوکس در مختصات جامع منحنی‌لخط در یک شبکه سازمان یافته چند بلوکی استفاده شده است. به‌منظور بررسی اثر مدل‌سازی تنش زیر شبکه، از مدل اسماگورینسکی، مدل ویسکوزیته انرژی سینماتیک تعمیم‌یافته (MKEV)، مدل اسماگورینسکی دینامیکی (DSM) و مدل ادی- ویسکوزیته موضعی تطبیق یافته با دیواره (WALE) استفاده شده است. نتایج عددی دربرگیرنده مشخصات عمومی جریان حول پله معکوس، اعم از طول ناحیه جدا شده پشت پله، ضریب اصطکاک، ضریب فشار، پروفیل سرعت متوسط (در جهت جریان اصلی و عمود بر آن) و تنشهای رینولدز است. نتایج شبیه‌سازی گردابه‌های بزرگ در مطالعه فعلی با نتایج آزمایشگاهی و نتایج شبیه‌سازی مستقیم و شبیه‌سازی گردابه‌های بزرگ چاپ‌شده در سایر مراجع مقایسه شده و انطباق بسیار مناسب مشاهده گردید. نتایج نشان می‌دهد که مدل‌های DSM و WALE، مشخصات و جلوه‌های جریان روی پله را با دقت بیشتری (با دقتی نزدیک به شبیه‌سازی عددی مستقیم ارائه‌شده در مراجع) نسبت به مدل و MKEV پیش‌بینی کرده‌اند.

کلیدواژه‌ها

عنوان مقاله [English]

Large Eddy Simulation of the Flow Over non-confined Backward Facing Step Using High Order Compact Finite Difference Schemes

نویسندگان [English]

  • mostafa esmaeili 1
  • Asghar Afshari 2
1 Department of Mechanical Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran.
2 School of Mechanical Engineering, College of Engineering, University of Tehran, Iran
چکیده [English]

In the present study, large eddy simulation of unsteady, three-dimensional and turbulent flow over non-confined backward facing step (BFS) is numerically conducted. Due to the capability of the compact differential scheme in high-order solution of the compressible flow, this method is used to solve the filtered Navier-Stokes equations in the generalized curvilinear coordinate using a multi-block structured grid. To study the influence of the sub-grid scale (SGS) stress model, the Smagorinsky model, the MKEV model, the dynamic Smagorinsky model (DSM), and the WALE model are considered. The numerical results include the general characteristics of the flow over BFS such as the reattachment length, friction and pressure coefficients, the mean velocity and the Reynolds stresses. Moreover, the present LES results are compared with the available experimental data and DNS, LES and RANS results and a very good agreement is achieved. Moreover, the obtained results using the DSM and WALE models give a better agreement with the DNS and experimental data than those by Smagorinsky and MKEV models.

کلیدواژه‌ها [English]

  • Large Eddy Simulation
  • Compact Finite Difference Method
  • High Order Scheme
  • Sub-Grid Scale Stress

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سابقه مقاله

  • تاریخ دریافت: 23 مرداد 1398
  • تاریخ بازنگری: 15 اردیبهشت 1399
  • تاریخ پذیرش: 03 تیر 1399
  • تاریخ انتشار: 01 اسفند 1398

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