3 papers
math.NA2021
On the Analysis of the Second Order Time Filtered Backward Euler Method for the EMAC formulation of Navier-Stokes Equations
Medine Demir, Aytekin Çıbık, Songül Kaya
This paper considers the backward Euler based linear time filtering method for the EMAC formulation of the incompressible Navier-Stokes equations. The time filtering is added as a…
math.NA2019
An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows
Medine Demir, Songül Kaya
This report extends the mathematical support of a subgrid artificial viscosity (SAV) method to simulate the incompressible Navier-Stokes equations to better performing a linearly e…
math.NA2018
A Family of Second Order Time Stepping Methods for the Darcy-Brinkman Equations
Aytekin Çıbık, Medine Demir, Songul Kaya
This study presents an efficient, accurate, effective and unconditionally stable time stepping scheme for the Darcy-Brinkman equations in double-diffusive convection. The stabiliza…