Numerical simulation of thermal convection in a fluid with the infinite Prandtl number and its application to a glass manufacturing problem
Thermal convection of fluids with infinite Prandtl number is studied via numerical simulations. These phenomena are governed by various physical mechanisms in a glass melting furnace that affect the quality of glass. We present a finite element stabilized scheme which enables us to carry out stable computation even in the case of high Rayleigh numbers. By means of this scheme, we study the transient growth of thermal convection in a top-cooled rectangular domain which can be regarded as a model of cooling process in a glass melting furnace.
scientific article; zbMATH DE number 1310259