Crank-Nicholson Scheme of the Zeroth-Order Approximate Deconvolution Model of Turbulence Based On a Mixed Formulation

Authors : Mustafa AĞGÜL

Pages : 145-154

Doi:10.30939/ijastech..729443

View : 13 | Download : 11

Publication Date : 2020-09-30

Article Type : Research Paper

Abstract :This report presents a method with high spatial and temporal accuracy for estimating solutions of Navier-Stokes equations at high Reynolds number. It employs Crank-Nicolson time discretization along with the zeroth-order ap-proximate deconvolution model of turbulence to regularize the flow prob-lem; solves a deviation of the Navier Stokes equation instead. Both theoreti-cal and computational findings of this report illustrate that the model pro-duces a high order of accuracy and stability. Furthermore, measurements of the drag and lift coefficients of a benchmark problem verify the potential of the model in this kind of computations.
Keywords : Approximate Deconvolution, Crank Nicholson, Stability, Accuracy, Turbulence Models, Space Filter