A Stabilized Characteristic Finite Volume Method for Transient Navier-stokes Equations
نویسندگان
چکیده
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. AMS Mathematics Subject Classification : 35Q10, 65N30, 76D05.
منابع مشابه
Characteristic stabilized finite element method for the transient Navier–Stokes equations
Article history: Received 29 January 2010 Accepted 8 June 2010 Available online xxxx
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