CIC Seminar March 2018
Recent Splitting Schemes for the Incompressible Navier-Stokes Equations
Professor Peter Minev
Two different approaches to the time discretization of the incompressible Navier-Stokes equation will be discussed in this talk. The first approach relies on a particular perturbation of the continuity equation and results in a technique for incompressible flow that requires the solution of one dimensional problems only. These problems can be solved with a tridiagonal direct solver on a massive parallel cluster with a Schur complement technique. The accuracy of this class of schemes is fully comparable to the accuracy of the classical projection methods for incompressible flow.
In the second approach the artificial compressibility method for approximation of the incompressible Navier-Stokes equations is generalized. It allows for the construction of schemes of any order in time that require the solution of a fixed number of vectorial parabolic problems, depending only on the desired order of the scheme. This approach has several advantages in comparison to the traditional projection schemes widely used for the unsteady Navier-Stokes equations. The accuracy and stability of the resulting schemes will be demonstrated on examples with manufactured solutions.
Peter Minev received his PhD degree in applied mathematics from the University of Sofia in 1991. Since 2004 he has been a full professor in applied mathematics at the University of Alberta, Canada.
He has authored or co-authored more than seventy papers in refereed journals and conference proceedings and is the advisor of twenty six graduate students and postdoctoral fellows. His general areas of interest include numerical analysis of PDEs, computational fluid dynamics and MHD, fluid mechanics and multiscale methods. Peter is a member of the Advisory Board of International Journal for Numerical Methods in Fluids, and a member of the Editorial Board of International Journal for Numerical Analysis and Modelling.
When: 14 March 2018, 9am
Where: B211:230, Curtin University
RSVP: Registration will be via Eventbrite