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 School of Mechanical Engineering, College of Engineering, University of Tehran, Iran

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.

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