1کارشناس ارشد مهندسی عمران- هیدرولیک/ دانشگاه خواجه نصیر الدین طوسی
2استادیار/ دانشگاه صنعتی خواجه نصیر الدین طوسی
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 Dorri, Kourosh Hejazi
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.
[1] Yuan, H., and Chin H. Wu., “A Two‐Dimensional Vertical Non‐Hydrostatic σ Model with an Implicit Method for Free‐Surface Flows, International Journal for Numerical Methods in Fluids, Vol.44, No.8, pp.811-835, 2004.
[2] Chorin, A. J., “Numerical Solution of the Navier-Stokes Equations”, Mathematics of computation, Vol.22, No.104, pp.745-762, 1968.
[3] Advances in Numerical Simulation of Nonlinear Water Waves, Singapore: World Scientific, 2010.
[4] Kothe, D. B., and . Mjolsness, R. C, “RIPPLE-A New Model for Incompressible Flows with Free Surfaces”, AIAA journal, Vol.30, No.11, pp.2694-2700, 1992.
[5] Koichiro, I., , Kawasaki, K., and Kim, D. S., “Breaking Limit, Breaking and Post-Breaking Wave Deformation Due to Submerged Structures, “CoastalEngineeringProceedings, Vol1, No.25, 1996.
[6] Pengzhi, L., and Liu, P. L. F., “A Numerical Study of Breaking Waves in the Surf zone”, Journal of Fluid Mechanics, Vol.359, pp.239-264, 1998.
[7]Wenrui, H., , and Xiao H., “Numerical Modeling of Dynamic Wave Force Acting on Escambia bay Bridge Deck During Hurricane Ivan”, Journal of Waterway, port, Coastal, and Ocean Engineering, Vol.135, No.4, pp.164-175, 2009.
[8] Jie C., , Jiang C., Hu S., and H.Wenwei, “Numerical Study on the Characteristics of Flow Field and Wave Propagation Near Submerged Breakwater on Slope”, Acta Oceanologica Sinica, Vol.29, No. 1, pp.88-99, 2010.
[9] Hejazi, K., Soltanpour, M., and Sami, S.. “Numerical Modeling of Wave–Mud Interaction using Projection Method”, Ocean Dynamics, Vol.63, No.9, pp. 1093-1111, 2013.
[10] Hirsch, C., “Numerical Computation of Internal and External Flows: The Fundamentals of Computational Fluid Dynamics”, The Fundamentals of Computational Fluid Dynamics. Butterworth-Heinemann, 2007.
[11] Hirt, C. W. and Billy D. N., “Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries”, Journal of Computational Physics, Vol.39, No.1, pp.201-225, 1981.
[12] Rudman, Murray, “Volume-Tracking Methods for Interfacial Flow Calculations”, International journal for Numerical Methods in Fluids, Vol.24, No.7, pp.671-691, 1997.
[13] Gopala, Vinay R., and Berend GM van Wachem, “Volume of Fluid Methods for Immiscible-Fluid and Free-Surface Flows." Chemical Engineering Journal1, Vol.41, No.1, pp. 204-221, 2008.
[14] Dean, R. G., and Dalrymple R. A., “Water Wave Mechanics for Engineers and Scientists”, Advanced Series on Ocean Engineering, 1991.
[15] Zhao, X. Z., Hu, C. H. Sun Z. C., and Liang S. X., “Validation of the Initialization of a Numerical Wave Flume using a Time Ramp”, Fluid Dynamics Research, Vol.42, No. 4, 2010.
[16] Chiang, M. C., “The Applied Dynamics of Ocean Surface Waves, Vol.1, World Scientific, 1989.
[17] Kleefsman, K. M. T., Fekken, G., Veldman, A. E. P., Iwanowski, B., and Buchner, B., “A Volume-of-Fluid Based Simulation Method for Wave Impact Problems”, Journal of Computational Physics, Vol.206, No.1, pp.363-393, 2005.
[18] Sorensen, R. M., Basic Coastal Engineering. Vol.10. Springer Science & Business Media, 2005.
[19] Chapalain, G., Cointe R., and Temperville A. “Observed and Modeled Resonantly Interacting Progressive Water-Waves”, Coastal Engineering, Vol.16, No. 3, pp.267-300, 1992.
ابتدای صفحه