TY  - EJOU
AU  - Luo, Zhendong  
AU  - Teng, Fei  

TI  - A Fully Discrete SCNFVE Formulation for the Non-stationary Navier-Stokes Equations
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2014
VL  - 101
IS  - 1
SN  - 1526-1506

AB  - A semi-discrete Crank-Nicolson (CN) formulation about time and a fully discrete stabilized CN finite volume element (SCNFVE) formulation based on two local Gauss integrals and parameter-free with the second-order time accuracy are established for the non-stationary Navier-Stokes equations. The error estimates of the semi-discrete and fully discrete SCNFVE solutions are derived. Some numerical experiments are presented to illustrate that the fully discrete SCNFVE formulation possesses more advantages than its stabilized finite volume element formulation with the first-order time accuracy, thus validating that the fully discrete SCNFVE formulation is feasible and efficient for finding the numerical solutions of the non-stationary Navier-Stokes equations.
KW  - Non-stationary Navier-Stokes equations
KW  -  stabilized Crank-Nicolson finite volume element formulation
KW  -  local Gauss integral and parameter-free
KW  -  error estimate

DO  - 10.3970/cmes.2014.101.033