Title
Convergence Analysis of Fractional Time-Stepping Techniques for Incompressible Fluids with Microstructure.
Abstract
We present and analyze fully discrete fractional time stepping techniques for the solution of the micropolar Navier Stokes equations, which is a system of equations that describes the evolution of an incompressible fluid whose material particles possess both translational and rotational degrees of freedom. The proposed schemes uncouple the computation of the linear and angular velocity and the pressure. We develop a first order scheme which is unconditionally stable and delivers optimal convergence rates, and an almost unconditionally stable second order scheme.
Year
DOI
Venue
2015
10.1007/s10915-014-9926-x
Journal of Scientific Computing
Keywords
Field
DocType
Micropolar Navier Stokes, Fractional time stepping, Micropolar flows, Fluids with microstructure, 35Q30, 65N12, 65N15, 65N30, 76A05, 76M10
Convergence (routing),Compressibility,Mathematical optimization,Microstructure,Angular velocity,System of linear equations,Mathematical analysis,Incompressible flow,Mathematics,Computation,Navier–Stokes equations
Journal
Volume
Issue
ISSN
64
1
1573-7691
Citations 
PageRank 
References 
1
0.39
6
Authors
1
Name
Order
Citations
PageRank
Abner J. Salgado110513.27