This report presents tests of a 2-dimensional parallel PETSc code developed while I was a Givens fellow in residence at ANL, code which computes the fluid velocity and pressure in a given domainâ€¦ (More)

This report investigates a Smagorinsky type eddy viscosity model recently proposed by Vreman (2003) in [4]. The model employs a filter operation to represent the small resolved scales and, similar toâ€¦ (More)

In this report, we present several results in the theory of Î±-models of turbulence with improved accuracy that have been developed in recent years. The Î±-models considered herein are the Leray-Î±â€¦ (More)

In this report it is presented a numerical finite element scheme for the advection equation that attains the optimal L2 convergence rate O(hk+1) when order k finite elements are used, improving theâ€¦ (More)