A spectral Petrov-Galerkin method for thermal convection between rigid plates

2009-09-18
YILDIRIM YÜCEL, CİHAN
Tarman, Işık Hakan
A numerical approach to the transition in the problem of thermal convection between rigid plates under the influence of gravity is presented. The approach uses solenoidal basis functions that satisfy the continuity equation and the boundary conditions under a Petrov-Galerkin procedure. A numerical experiment on the linear stability of thermal convection is performed to test the formulation and the implementation.