In this paper, we propose new energy dissipative characteristic numerical methods for the approximation of diffusive Oldroyd-B equations that are based either on the finite element or finite difference discretization. We prove energy stability of both schemes and illustrate their behavior on a series of numerical experiments. Using both the diffusive model and the logarithmic transformation of the elastic stress, we are able to obtain methods that converge as mesh parameter is refined.
|International Journal for Numerical Methods in Fluids
|Accepted/In press - 2015
ASJC Scopus subject areas
- コンピュータ サイエンスの応用