Numerical Modelling of Two- and Three- Dimensional External and Internal Unsteady Incompressible Flow Problems
In this paper we will discuss numerical methods that solve the full two- and three-dimensional time dependent Navier-Stokes equations and the possibility of coupling the heat conduction equation by the Boussinesq approximation. The solution methods will be applied i) to the investigation of a crystal melt flow caused by free and forced convection as an internal flow problem, and ii) to the full 3d flow around a circular cylinder as a base for LES and as an external flow problem. During the consideration of the two fluid dynamical problem classes the formulation of suitable conservative boundary conditions, especially in the case of ‘open’ boundaries will be discussed.
KeywordsRayleigh Number Finite Volume Benchmark Problem Integration Region Heat Conduction Equation
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