اصلاح مدل رتبه‌کاستة تجزیه متعامد بهینه جهت شبیه‌سازی جریان‌ ناپایای لایه‌ای تراکم‌ناپذیر با جایگزینی عبارت فشار بر حسب مودهای میدان سرعت

[1]   Smith, T. R., Moehlis, J., Holmes, P., "Low-dimensional Modeling of Turbulence Using the Proper Orthogonal Decomposition", A tutorial, Kluwer Academic Publishers, 2004.

[2]   Holmes, P., Lumley, J. L., and Berkooz, G., Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge Monographs on Mechanics, Cambridge University Press, Cambridge, 1996.

[3]   Lumley, J. L., The Structure of Inhomogeneous Turbulence, In A. M. Yaglom Tartarski, editors, Atmospheric Turbulence and Wave Propagation, pp. 166-Nauka, 78, 1967.

[4]   Sirovich, L., Turbulence and the Dynamics of Coherent Structures, Parts I-III, Quarterly of Applied Math., XLV (3):561-82, 1987.

[5]   Favier, J., Cordier, L., Kourta, A., and Iollo, A., Calibrated POD Reduced-order Models of Massively Separated Flows in the Perspective of Their Control, ASME Joint U.S.-European Fluids Engineering Summer Meeting, Miami, Florida, USA, 2006

[6]   Couplet, M., Basdevant, C., and Saguat, P., "Calibrated Reduced-order POD-Galerkin System for Fluid Flow Modeling", J. Computational Physics, Vol. 207, pp. 192–220, 2005.

[7]   Noack B.R., Papas P. and Monkewitz P. A., The Need for a Pressure-Term Representation in Empirical Galerkin Models of Incompressible Shear Flows, J. Fluid Mech., Vol. 523, pp.339-365, 2005.

[8]   Galletti, B., Bottaro, A., Bruneau, C. H., and Iollo, A. Accurate Model Reduction for Transient and Forced Wakes, European J. Mech-B/Fluids, Vol. 26, pp.354-366, 2007.

[9]   Moayyedi M. K., Taeibi-Rahni M., and Sabetghadam F., Accurate Low-dimensional dynamical Model for Simulation of the Unsteady Incompressible Flows, The 12^th Fluid Dynamic Conference, Babol, Iran, 2009.

[10]              Sabetghadam, F., Moayyedi, M. K., and Taeibi-Rahni, M., A Fast Approach for Temporal Calibration of Low-dimensional POD Model for Simulation of the Unsteady Incompressible Flows, The 9^th Iranian Aerospace Society Conference, IAU- Science and Research Branch, Tehran, Iran, 2010.

[11]              Stankiewicz W., Roszak R., and Morzyński M., "Genetic Algorithm-based Calibration of Reduced Order Galerkin Models", Mathematical Modeling and Analysis, Vol. 16, No.2, pp.233-247, 2011.

[12]              Cordier L., Abou El Majd B., Favier J., Calibration of POD reduced-order models using Tikhonov regularization, International J. for Numerical Methods in Fluids, 63 (2), pp.269-296, 2009.

[13]              Moayyedi, M.K, Low-dimensional POD Simulation of the Unsteady Flows around Bodies with Arbitrary Shapes. PhD Dissertation, Department of Aerospace Engineering, Sharif University of Technology, 2009.