Normal mode analysis of second-order projection methods for incompressible flows

Jie Shen, Jae-Hong Pyo
2005 Discrete and continuous dynamical systems. Series B  
A rigorous normal mode error analysis is carried out for two second-order projection type methods. It is shown that although the two schemes provide second-order accuracy for the velocity in L 2 -norm, their accuracies for the velocity in H 1 -norm and for the pressure in L 2norm are different, and only the Gauge-Uzawa scheme introduced provides full second-order accuracy for all variable in their natural norms. The advantages and disadvantages of the normal mode analysis vs. the energy method are also elaborated.
doi:10.3934/dcdsb.2005.5.817 fatcat:mhaef4rxk5hglm72lgeo74m3qq