کاربرد طرح عددی با دقت مرتبه بالا براساس خانواده ذاتا غیرنوسانی با ضرایب وزنی در الگوریتم فشار-مبنا برای تسخیر ناپیوستگی‌ها‌

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، گروه هوافضا، دانشکده مهندسی، دانشگاه فردوسی، مشهد، ایران

2 استاد، گروه مهندسی هوافضا، دانشکده مهندسی، دانشگاه فردوسی، مشهد، ایران

چکیده

در این تحقیق طرح‌ عددی با دقت مرتبه بالا بر مبنای خانواده وزنی ذاتا غیرنوسانی برای جلوگیری از نوسانات غیرفیزیکی بر مبنای حل کننده ریمان برای جریان‌های تراکم پذیر پایا و ناپایا یک بعدی و دو بعدی در یک الگوریتم فشار مبنا توسعه داده شده است. روش حل بر مبنای حجم محدود است که از حل کننده ضمنی و یک شبکه منظم که متغیرها در یک مکان ذخیره می‌شوند استفاده شده است. محدودکنندگی به‌وسیله یک طرح عددی با دقت مرتبه بالای ذاتا بدون نوسان اعمال شده است. برای ارزیابی روش عددی از یک لوله ضربه که حاوی موج ضربه‌ای، ناپیوستگی تماسی و امواج انبساطی است، استفاده شده است و نتایج بدست آمده با نتایج تحلیلی و نتایج بر مبنای روش چگالی مبنا مقایسه شده است. روش توسعه داده شده برای پیکربندی لاکس در جریان غیر لزج دو بعدی ارزیابی شده است. علاوه برآن از این روش برای شبیه‌سازی جریان پایای دوبعدی در یک کانال حاوی برآمدگی استفاده شده است. نتایج نشان می‌دهد که روش توسعه داده شده قادر است به خوبی ناپیوستگی های فیزیکی و عددی را تسخیر کند.

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مهندسی مکانیک دانشگاه تبریز
دوره 52، شماره 1 - شماره پیاپی 98
اردیبهشت 1401
صفحه 159-168

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