Abstract
A new least squares formulation of the incompressible Navier-Stokes problem, suitable for parallel EBE minimization, is presented. It enables construction of simple 2D and 3D C°-continuous finite elements for all the primary variables. Those include the primitive variables and vorticity so that satisfaction of a broad class of boundary conditions is possible. FE error estimates in terms of an “energy” norm are presented and optimal interpolation of the various variables is discussed. The convergence rate was successfully tested upon simple examples with known reliable results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.