A STABILIZED CRANK-NICOLSON MIXED FINITE VOLUME ELEMENT FORMULATION FOR THE NON-STATIONARY PARABOLIZED NAVIER-STOKES EQUATIONS

作者：Luo Zhendong^*

来源：Acta Mathematica Scientia, 2015, 35(5): 1055-1066.

DOI：10.1016/s0252-9602(15)30039-4

• non-stationary parabolized Navier-Stokes equations
• stabilized Crank-Nicolson mixed finite volume element formulation
• error estimate

A time semi-discrete Crank-Nicolson (CN) formulation with second-order time accuracy for the non-stationary parabolized Navier-Stokes equations is firstly established. And then, a fully discrete stabilized CN mixed finite volume element (SCNMFVE) formulation based on two local Gaussian integrals and parameter-free with the second-order time accuracy is established directly from the time semi-discrete CN formulation so that it could avoid the discussion for semi-discrete SCNMFVE formulation with respect to spatial variables and its theoretical analysis becomes very simple. Finally, the error estimates of SCNMFVE solutions are provided.

• 出版日期2015-9
• 单位华北电力大学; 华北电力大学（保定）