International Journal of Heat and Mass Transfer, Vol.53, No.9-10, 2193-2205, 2010
Multi-parameter model reduction in multi-scale convective systems
A new Proper Orthogonal Decomposition (POD) based reduced order modeling approach for temperature field calculation in multi-scale convective systems is presented Using POD modes for the entire domain, the energy equation is solved only at the most important scales via Galerkin projection to have an efficient and accurate enough model for design. Comparing with Computational Fluid Dynamics/Heat Transfer simulation shows that the method can predict the temperature Field at the rack scale of a sample air-cooled data center with the average error norm of similar to 6% for different sets of design parameters, while it can be up to similar to 250 times faster (C) 2009 Elsevier Ltd. All rights reserved.
Keywords:Multi-scale thermal-fluid systems;Reduced order modeling;Proper orthogonal decomposition;Galerkin projection;Data center