Simulation of natural convection problems based on low-dimensional model

A low-dimensional model based on method of the polyargumental systems (MPS) for thermal convection in a heated rectangular enclosure has been presented. This method can be considered as a development and substantial improvement of various projection methods including Galerkin, Kantorovich etc. The key feature of the NIPS is that it enables to avoid weakness of the above-mentioned methods, which consists in a priori choice of basis functions. This can be achieved by letting all unknown functions occurred in the form of solution representation to be directly determined in the course of solving the initial problem. Such properties allow the MPS to get the low-dimensional model of the natural convection problem with high convergence rate. (C) 2002 Elsevier science Ltd.