تاثیر چیدمان اولیه ذرات در مدل‎سازی تولید موج با روش هیدرودینامیک ذرات هموار بر اساس مدل آزمایشگاهی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، گروه مهندسی عمران، دانشکده فنی و مهندسی، دانشگاه قم، قم، ایران.

2 دانشیار، گروه مهندسی عمران، دانشکده فنی و مهندسی، دانشگاه قم، قم، ایران.

3 دانشیار، دانشکده مهندسی عمران و محیط‌زیست، دانشگاه تربیت مدرس، تهران، ایران.

چکیده

روش هیدرودینامیک ذرات هموار در زمره روش های عددی است که توجه بسیاری از محققان را در سال‌های اخیر جلب نموده است. این روش، روشی لاگرانژی مبتنی بر حرکت ذرات و در زمره روش های بدون شبکه قلمداد می شود. در این روش شرایط قرارگیری اولیه ذرات می تواند نقش مهمی در کاهش خطاهای عددی و کارایی محاسبانی آن داشته باشد. در این پژوهش با مبنا قراردادن مدل‎سازی موج که از جمله متعارف‌ترین پدیدهای هیدرولیکی و با بهره‌گیری از تجارب مدل‎سازی های پیشین، شش توزیع بهینه و متداول ذرات شامل، توزیع مربعی SC، توزیع مثلثی Triangular، توزیع بر اساس الگوریتم WVT، توزیع براساس الگوریتم Greedy یا حریص، توزیع شش ضلعی Hexagonal و توزیع بر اساس الگوریتم فیبوناچی Fibonacci، مورد بررسی قرارگرفته است. بر اساس نتایج حاصل از بررسی فشار، سرعت و تراز سطح آزاد سیال مدل در محل گِیج‌های مرجع مدل آزمایشگاهی، مشخص گردید که چیدمان های مربعی، مثلثی، WVT، Greedy، Hexagonal و Fibonacci به ترتیب دارای خطای مدل‎سازی معادل با 13.85%، %13.75، %12.63، %13.24، %9.07 و 9.37% بوده است و دو توزیع اولیه شش ضلعی و فیبوناچی دارای خطای مدل‎سازی کمتر از 10% می‌باشد و به عبارتی دارای بهترین عملکرد در به‌کارگیری روش SPH در راستای بهبود کارایی مدل عددی بوده است.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

The Effect of Initial Particles Distribution by in Smoothed Particle Hydrodynamic Method in Wave Generation Modeling Based on Laboratory Model

نویسندگان [English]

  • Mahyar Pourlak 1
  • Ehsan Jabbari 2
  • Hassan Akbari 3
1 Department of Civil Engineering, Faculty of Engineering, University of Qom, Qom, Iran.
2 Department of Civil Engineering, Faculty of Engineering, University of Qom, Qom, Iran.
3 Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran.
چکیده [English]

The Smoothed Particle Hydrodynamics (SPH) method is among the numerical methods that have attracted the attention of many researchers in recent years. This method as a Lagrangian method based on the movement of particles is also one of the meshless methods. In this method, the initial location or distribution of particles can play an important role in reducing numerical errors and its computational efficiency. In this research, based on wave modeling, which is one of the most conventional hydraulic phenomena, and using previous modeling experiences, six optimal and common distributions of particles including square distribution (SC), Triangular distribution, distribution based on WVT algorithm, distribution based on Greedy algorithm, Hexagonal distribution and Fibonacci distribution based on Fibonacci al-gorithm have been investigated. Based on the results of the pressure, velocity and the free surface level of the fluid in the location of the reference gauges of the laboratory model, it was determined that the square, triangular, WVT, Greedy, Hexagonal and Fibonacci distributions have a modeling error equal to 13.85%, 13.75%, 12.63%, 13.24%, 9.07% and 9.37%, respectively, and the two primary hexagonal and Fibonacci distributions have a modeling error of less than 10%, and in other words, it has the best performance in using the SPH method in order to improve the efficiency of the computational model.

کلیدواژه‌ها [English]

  • Meshless methods
  • Smoothed particle hydrodynamics
  • Initial particles distribution
  • Wave modelling
  • Initial conditions

مراجع

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