TY - JOUR

T1 - Ad-hoc Boundary Conditions for CFD Analyses of Turbomachinery Problems with Strong Flow Gradients at Farfield Boundaries

AU - Campobasso, Sergio

AU - Baba-Ahmadi, Mohammad

PY - 2011/4/20

Y1 - 2011/4/20

N2 - This paper reports on the improvements of flux enforcement and auxiliary state farfield boundary conditions for Euler and Navier–Stokes computational fluid dynamics (CFD) codes. The new conditions are based on 1D characteristic data and also on the introduction in the boundary conditions of certain numerical features of the numerical scheme used for the interior of the domain. In the presence of strong streamwise gradients of the flow field at the farfield boundaries, the new conditions perform significantly better than their conventional counterparts in that they (a) preserve the order of the space discretization and (b) greatly reduce the error in estimating integral output. A coarse-grid CFD analysis of the compressible flow field in an annular duct for which an analytical solution is available yields a mass flow error of 62% or 2%, depending on whether the best or the worst farfield boundary condition (BC) implementation is used. The presented BC enhancements can be applied to structured, unstructured, cell-centered, and cell-vertex solvers.

AB - This paper reports on the improvements of flux enforcement and auxiliary state farfield boundary conditions for Euler and Navier–Stokes computational fluid dynamics (CFD) codes. The new conditions are based on 1D characteristic data and also on the introduction in the boundary conditions of certain numerical features of the numerical scheme used for the interior of the domain. In the presence of strong streamwise gradients of the flow field at the farfield boundaries, the new conditions perform significantly better than their conventional counterparts in that they (a) preserve the order of the space discretization and (b) greatly reduce the error in estimating integral output. A coarse-grid CFD analysis of the compressible flow field in an annular duct for which an analytical solution is available yields a mass flow error of 62% or 2%, depending on whether the best or the worst farfield boundary condition (BC) implementation is used. The presented BC enhancements can be applied to structured, unstructured, cell-centered, and cell-vertex solvers.

KW - turbomachinery computational fluid dynamics

KW - characteristic boundary conditions

KW - Navier-Stokes equations

U2 - 10.1115/1.4002985

DO - 10.1115/1.4002985

M3 - Journal article

VL - 133

JO - Journal of Turbomachinery

JF - Journal of Turbomachinery

SN - 1528-8900

IS - 4

M1 - 041010

ER -