طرح هیدرودینامیک ذرات هموار برای شبیه‌سازی عددی جریان‌های چند فازی با سطوح مشترک پیچیده

نوع مقاله : مقاله پژوهشی

نویسندگان

گروه حرارت و سیالات، دانشکده مهندسی مکانیک، دانشگاه یزد،

چکیده

شبیه‌‌‌‍‌‌‍‍‌‌سازی عددی مسایل چند‌فازی با سطوح مشترک پیچیده و جریان‌های با نسبت چگالی بالا به دلیل پخش ذرات و واگرایی، یکی از چالش‌های حل عددی می‌باشد. تحلیل مسایل معدودی با روش هیدرودینامیک ذرات هموار مبتنی بر چگالی برای حل جریان‌های سطوح مشترک پیچیده صورت گرفته در حالی که اکثر شبیه‌سازی‌ها با روش هیدرودینامیک ذرات هموار تراکم ناپذیرانجام شده است. حل جریان‌های با نسبت چگالی بالا با روش هیدرودینامیک ذرات هموار با پراکندگی ذرات و واگرایی می‌باشد. برای رفع پراگندگی ذرات از روش‌های مختلف از جمله یک نیروی دافعه در سطح مشترک و یا روش تخصیص مقدار مجدد چگالی تصحیح شده استفاده شده است ولی مشکل از هم گسیختگی ذرات در سطح مشترک در زمان‌های بالاتر وجود دارد. در مطالعه حاضر، یک روش جدید هیدرودینامیکی ذرات هموار بر اساس چگالی استفاده شده است. به منظور جلوگیری از پخش ذرات مخصوصا در سطح مشترک در زمان‌های پایانی از یک روش ساده با حذف ذرات ناسازگار استفاده شده است. همچنین، طرح بهینه سازی جابجایی ذرات به منظور منظم سازی در سطح مشترک دو فاز با اجرای دقیق الگوریتم تغییر دو مرحله به گونه‌‌ای ایجاد شده است که توزیع منظم ذرات به طور پیوسته و محافظه کارانه‌‌ای حفظ می‌شود. برای بررسی دقت شبیه‌سازی، نتایج شبیه‌سازی عددی جریان‌های پوازویل دو فاز با نسبت‌های ویسکوزیته متفاوت، ناپایداری رینولدز-تیلور، بالا رفتن یک حباب در سیال با حل‌های تحلیلی و عددی مقایسه شده است که دقت و پیوستگی شبیه‌سازی حاضر بالاتر و یا همسان با دیگر شبیه‌سازی‌ها می‌باشد.

کلیدواژه‌ها

عنوان مقاله [English]

Smooth Particle Hydrodynamics Scheme for Numerical Simulation of Multiphase Flows With Complex Interface Surfaces

نویسندگان [English]

  • mahdi mahmoodi mehrizi
  • mohammad sefid
  • amir madood Salehizadeh
چکیده [English]

Numerical simulation of multiphase problems with complex interface as well as high density ratios is one of the numerical challenges associated with particle scattering and divergence. Fewer problems have been performed with density-based smooth particle hydrodynamics (WCSPH) to solve complex joint surface currents, and most simulations have been performed using Incompressible Smooth Particle Hydrodynamics (ISPH). Solution of high density flows by the smooth particle hydrodynamics is associated with particle dispersion and divergence. Various methods have been used to eliminate the scattering of particles, such as a repulsive force at the interface or the corrected density re-value, but there is a problem of particle disintegration at the interface at higher times. In the present simulation, to simulate multiphase flows with complex surfaces and high density ratios, a new density-based smooth particle hydrodynamics approach has been utilized. To prevent the scattering of particles, especially at the interface at the end times, a simple method with the removal of incompatible particles is used. In the present study, the particle displacement optimization scheme for regularization at the interface of the phase is created by precisely implementing a two-stage change algorithm, so as to maintain the regular particle distribution continuously and conservatively. To examine the accuracy of the present simulation method, it is firstly compared with two-phase Poiseuille flow with three fluids having different values of viscosity, Reynolds-Taylor instability and single bubble rising in a fully filled container., Then it is compared with analytical and numerical solutions. The accuracy and consistency of the current simulation is higher or equal to other simulations.

کلیدواژه‌ها [English]

  • Smooth particle Hydrodynamic
  • Multiphase flows
  • Simulation
  • Diffusion of particles

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