1کارشناس ارشد مهندسی عمران- هیدرولیک/ دانشگاه خواجه نصیر الدین طوسی
2استادیار/ دانشگاه صنعتی خواجه نصیر الدین طوسی
تاریخ دریافت: 15 دی 1392،
تاریخ پذیرش: 23 فروردین 1395
چکیده
شبیه‌سازی عددی امواج غیرخطی در کاربردهای عملی از اهمیت خاصی برخوردار است. در این مقاله جزئیات توسعه‌ی یک مدل عددی دوبعدی در قائم که در آن از روش حجم سیال تکه‌ای‌خطی برای ضبط سطح آزاد استفاده شده، ارائه شده است. در این مدل معادلات میانگین‌گیری شده‌ی نویر- استوکس به روش حجم محدود گسسته شده و با کمک روش پروجکشن حل می‌شوند. برای مدل‌سازی اثرات آشفتگی جریان از مدل با در نظر گرفتن جملات شناوری استفاده شده است. برای صحت سنجی مدل ابتدا یک موج دامنه کوتاه ایستا در مخزن محدود شبیه‌سازی شده، سپس انتشار موج استوکس منظم، موج تنها و موج کوتاه غیرخطی شبیه‌سازی می‌شود. با مقایسه نتایج عددی با نتایج تحلیلی و آزمایشگاهی می‌توان دریافت که مدل موجود توانایی بالایی برای شبیه‌سازی امواج غیرخطی سطحی دارد. همچنین به‌وضوح می‌توان دید که روش حجم سیالی که برای ضبط سطح آب استفاده شده دارای دقت مناسبی است.
Numerical Simulation of Nonlinear Waves Using PLIC VOF Method
نویسندگان [English]
Mohammad Reza Dorri1؛ Kourosh Hejazi2
1Department of Civil Engeneering, K. N. Toosi University of Technology
2Department of Civil Engeneering, K. N. Toosi University of Technology
چکیده [English]
Numerical simulation of nonlinear waves is of prime importance. In this research the WISE 2DV numerical model has been deployed. In the WISE model Reynolds-averaged Navier-Stokes (RANS) equations have been solved using finite volume discretization and projection method. The method of volume of fluid for surface has been implemented in the model. For implementation of VOF method, Youngs scheme has been utilized. In this scheme color function advection is based on piecewise linear interface reconstruction. The k–ε model is used for turbulence closure of RANS equations. For validation of the model a short amplitude sloshing wave in a tank, regular wave in a flume and propagation of solitary wave have been simulated, and the results have been compared with analytical solutions, which show very good agreements. A non-linear short wave propagation has also been simulated, and predictions have been compared against experimental results, which confirms the model ability in prediction of non-linear short waves.
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