New upper bounds and reduced dynamical modeling for Rayleigh–Bénard convection in a fluid saturated porous layer

• DOI: 10.1016/j.cnsns.2011.06.039
• Publication Date: 2011-07-08T21:21:30Z
• Authors: Baole Wen; Navid Dianati; Evelyn Lunasin; Gregory P. Chini; Charles R. Doering
• Keywords: 0101 mathematics; 01 natural sciences

New rigorous upper bounds on the enhancement of heat transport in a fundamental model of porous medium convection are presented. The computational results are applied to the development of finite dimensional dynamical systems models of porous medium convection. The number of degrees of freedom in the full dynamics and the dimension of potentially faithful reduced descriptions are discussed.