Numerical schemes of capturing multiple solutions of steady convective heat transfer with system rotation

摘要

We develop the standard and mixed finite-element schemes for steady convective heat transfer with system rotation, temperature-dependent density and viscosity. The existence and convergence are proven for the two schemes. They are shown to be globally convergent and capable of capturing both nonsingular and singular solutions. The convergence rate is found to be optimal in H~1-norm and L~2-norm for nonsingular solutions.