Energy dissipative characteristic schemes for the diffusive Oldroyd-B viscoelastic fluid

0461727 - MÚ 2017 RIV US eng J - Journal Article
Lukáčová-Medviďová, M. - Hirofumi, N. - She, Bangwei
Energy dissipative characteristic schemes for the diffusive Oldroyd-B viscoelastic fluid.
International Journal for Numerical Methods in Fluids. Roč. 81, č. 9 (2016), s. 523-557. ISSN 0271-2091. E-ISSN 1097-0363
EU Projects: European Commission(XE) 320078 - MATHEF
Institutional support: RVO:67985840
Keywords : characteristic finite element * characteristic finite difference * energy stable
Subject RIV: BA - General Mathematics
Impact factor: 1.652, year: 2016
http://onlinelibrary.wiley.com/doi/10.1002/fld.4195/abstract

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.
Permanent Link: http://hdl.handle.net/11104/0261320