Development of a simulation model for a three-dimensional wind velocity field using Ténès Algeria as a case study

Abstract A mathematical simulation model was developed that can determine the three-dimensional wind velocity field over a complex terrain. The Tenes area in the Valley of Cheliff in Algeria was used as a case study. This region is exposed to south-west circulation that makes it favorable to the use of wind energy. Knowledge of wind fields is crucial for predicting the dispersion of pollutants, for forecasting meteorological weather, for fire spread prediction and in the design and implementation of wind turbines. By means of a mass consistent model, an in-house program was developed to calculate the three-dimensional wind velocity field in the study region. The model was supported by a numerical box in which flow through is allowed for in the upper and lateral boundaries. The bottom boundary through which no flow through occurs was determined by the topographic relief at the surface. From measured wind velocities, observed values were calculated by interpolation–extrapolation. Using an optimization method, the adjusted velocities were obtained from constraints, observed velocities and the continuity equation. The model was verified with wind point data, the relative error did not exceed 6%.

[1]  C. Justus,et al.  Height variation of wind speed and wind distributions statistics , 1976 .

[3]  G. Homicz.  Three-Dimensional Wind Field Modeling: A Review , 2002 .

[4]  Y. Sasaki.  SOME BASIC FORMALISMS IN NUMERICAL VARIATIONAL ANALYSIS , 1970 .

[5]  Marvin H. Dickerson.  MASCON—A Mass Consistent Atmospheric Flux Model for Regions with Complex Terrain , 1978 .

[6]  F. L. Ludwig,et al.  Use of Mass Conservation and Critical Dividing Streamline concepts for Efficient Objective Analysis of Winds in Complex Terrain. , 1991 .

[7]  J. P. Mutschlecner,et al.  Atmospheric Transport Models for Complex Terrain , 1984 .

[8]  Giap Huynh,et al.  Diagnostic Wind Model Initialization over Complex Terrain Using the Airborne Doppler Wind Lidar Data , 2010 .

[9]  Y. Himri,et al.  Review of wind energy use in Algeria , 2009 .

[10]  Yoshikazu Sasaki.  NUMERICAL VARIATIONAL ANALYSIS FORMULATED UNDER THE CONSTRAINTS AS DETERMINED BY LONGWAVE EQUATIONS AND A LOW-PASS FILTER , 1970 .

[11]  D. Ross,et al.  Diagnostic Wind Field Modeling for Complex Terrain: Model Development and Testing , 1988 .

[12]  Y. Himri,et al.  Assessing the wind energy potential projects in Algeria , 2009 .

[13]  Erik Lundtang Petersen,et al.  Influence of topographical input data on the accuracy of wind flow modelling in complex terrain , 1998 .

[14]  Simulation of Wind Field in Tehran Using Hybrid Diagnostic and Prognostic Models , 2008 .

[15]  Hacene Mahmoudi,et al.  On the use of wind energy to power reverse osmosis desalination plant: A case study from Ténès (Algeria) , 2011 .

[16]  F. L. Ludwig,et al.  A Diagnostic Model for Estimating Winds at Potential Sites for Wind Turbines , 1982 .

[17]  Florence.  European community wind energy conference , 1993 .

[18]  A. Stambouli.  Promotion of renewable energies in Algeria: Strategies and perspectives , 2011 .

[19]  C. Sherman.  A Mass-Consistent Model for Wind Fields over Complex Terrain. , 1978 .

[20]  C. F. Ratto,et al.  Mass-consistent models for wind fields over complex terrain: The state of the art , 1994 .

[21]  Nahmkeon Hur,et al.  A numerical simulation of flow field in a wind farm on complex terrain , 2010 .

[22]  N. Moussiopoulos,et al.  A refined diagnostic wind model , 1988 .

[23]  Belkacem Draoui,et al.  Prospects of wind farm development in Algeria , 2008 .

[24]  Y. Sasaki,et al.  An ObJective Analysis Based on the Variational Method , 1958 .

[25]  F. L. Ludwig,et al.  An efficient method for deriving mass-consistent flow fields from wind observations in rough terrain , 1980 .

[26]  H. Ishikawa.  Mass-Consistent Wind Model as a Meteorological Preprocessor for Tracer Transport Models , 1994 .