IJE TRANSACTIONS C: Aspects Vol. 30, No. 9 (September 2017) 1381-1390   

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E. Ezzatneshan
( Received: February 05, 2017 – Accepted in Revised Form: July 07, 2017 )

Abstract    In this paper, implementation of an extended form of a no-slip wall boundary condition is presented for the three-dimensional (3-D) lattice Boltzmann method (LBM) for solving the incompressible fluid flows with complex geometries. The boundary condition is based on the off-lattice scheme with a polynomial interpolation which is used to reconstruct the curved or irregular wall boundary on the neighboring lattice nodes. This treatment improves the computational efficiency of the solution algorithm to handle complex geometries and provides much better accuracy comparing with the staircase approximation of bounce-back method. The efficiency and accuracy of the numerical approach presented are examined by computing the fluid flows around the geometries with curved or irregular walls. Three test cases considered herein for validating the present computations are the flow calculation around the NACA0012 wing section and through the two different porous media in various flow conditions. The study shows the present computational technique based on the implementation of the three-dimensional Lattice Boltzmann method with the employed curved wall boundary condition is robust and efficient for solving laminar flows with practical geometries and also accurate enough to predict the flow properties used for engineering designs.


Keywords    Three-dimensional lattice Boltzmann method, irregular wall boundary condition, laminar fluid flows, complex geometries


چکیده    در مقاله حاضر، یک نوع شرط مرزی دیواره تعمیم­یافته برای روش شبکه بولتزمن سه­بعدی اعمال شده که سبب افزایش توانمندی و دقت آن در شبیه­سازی جریان­های تراکم­ناپذیر حول هندسه­های پیچیده می­شود. این روش از یک الگوریتم درون­یابی چندجمله­ای جهت تخمین محل دیواره منحنی دلخواه و میان­یابی آن روی نقاط شبکه اطراف دیواره استفاده می­کند. این الگوریتم کارآیی روش حل عددی و دقت آن را نسبت به روش­های مرسوم Bounce-Back برای حل جریان حول هندسه­های پیچیده افزایش می­دهد. براي نشان‌دادن صحت و دقت الگوریتم مورد استفاده بر اساس روش شبکه بولتزمن سه­بعدی، جریان حول یک بال با مقطع هیدروفویل NACA0012 و جریان گذرنده از دو محیط متخلخل مجزا در شرایط مختلف مورد بررسی قرار گرفته و نتايج حاصل با نتايج قابل دسترس مقايسه و ارزيابي شده است. نتايج به دست آمده از حل حاضر نشان مي‌دهند که الگوریتم توسعه داده‌شده براساس روش شبکه بولتزمن، جهت تحلیل جریان های تراکم­ناپذیر با هندسه­های پیچیده و کاربردی همچنین برای تخمین مشخصات جریان جهت استفاده در طراحی­های مهندسی بسيار مناسب و مؤثر است.


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