Numerical study of three dimensional incomprehensible thermal flows in complex geometries
Master of Science
In our study, an iterative point successive over-relaxation (PSOR) finite difference scheme has been used to solve the coupled unsteady Navier-Stokes and energy equations for incompressible, viscous and laminar flows in their primitive variable form. Three problems have been studied in detail: (1) two-dimensional and three-dimensional natural convection in a cavity with differentially heated vertical walls; (2) two-dimensional and three-dimensional natural convection in cavity whose surface is cooled while two internal blocks are heated; (3) two-dimensional and three-dimensional natural convection in the region defined by two interconnected cavities of different sizes which are differentially heated. All computations have been performed for a Prandtl number of 1.0, and different values of the Rayleigh number ranging between $10\sp3$ and $10\sp7$ depending on the problem. The scheme has been found to be accurate even for large Rayleigh numbers.