Numerical analysis of viscous flow using composite grids with applications to glass furnaces (Q2760872)

The thesis is motivated by the simulation of the glass melting process. The system is described by compressible Navier-Stokes equations without energy equation, accompanied by a given temperature field. The bubbling and stirring are modeled by several algebraic relations appearing as external bulk forces in the momentum equation. The discretization is carried out by a finite difference method with pressure correction methods and local defect correction. The author presents (colored) numerical results of several simple test cases. The thesis contains also detailed study of Navier-Stokes equations in cylindrical coordinates, the presentation of correction methods in cylindrical and Cartesian coordinates, etc.