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http://dx.doi.org/10.14317/jami.2011.29.5_6.1205

A STABILIZED CHARACTERISTIC FINITE VOLUME METHOD FOR TRANSIENT NAVIER-STOKES EQUATIONS  

Zhang, Tong (School of Mathematics & Information Science, Henan Polytechnic University)
Publication Information
Journal of applied mathematics & informatics / v.29, no.5_6, 2011 , pp. 1205-1219 More about this Journal
Abstract
In this work, a stabilized characteristic finite volume method for the time-dependent Navier-Stokes equations is investigated based on the lowest equal-order finite element pair. The temporal differentiation and advection term are dealt with by characteristic scheme. Stability of the numerical solution is derived under some regularity assumptions. Optimal error estimates of the velocity and pressure are obtained by using the relationship between the finite volume and finite element methods.
Keywords
Navier-Stokes equations; Finite volume method; Stabilized method; Characteristic; Error estimate;
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