2nd-order-accuracy in time for Projection method
 

I am working to increase the degree of accuracy of a 3D flow model which is based on projection method. It is a 2nd-order accurate scheme in space and time, but pressure ends up in 1st-order accuracy (in time) no matter what the accuracy of the whole scheme is. I would like to discuss the issues for the 2nd-order-accuacy and especially the concerns which may rise over the boundary conditions. Any comments on this is most appreciated. Cheers

Re: 2nd-order-accuracy in time for Projection meth
 

Please check out the following reference:

Accurate Projection Methods for the Incompressible Navier-Stokes Equations, D.L. Brown, R. Cortez and M.L. Minion, Journal of Computational Physics, 168, pp. 464-499 (2001)

Re: 2nd-order-accuracy in time for Projection meth
 

The paper of Gresho, P.M is also very useful.

P.M. Grsho, International Journal for Numerical Methods in Fluids, Vol.11, pp: 587-620, 1990