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Unsteady preconditioned characteristic boundary conditions for direct numerical simulation of incompressible flows
, Article AIAA Journal ; Volume 58, Issue 4 , 2020 , Pages 1476-1489 ; Hejranfar, K ; Sharif University of Technology
American Institute of Aeronautics and Astronautics Inc
2020
Abstract
The unsteady preconditioned characteristic boundary conditions (UPCBCs) based on the artificial compressibility (AC) method are formulated and applied at artificial boundaries for the direct numerical simulation (DNS) of incompressible flows. The compatibility equations including the unsteady terms are mathematically derived in the generalized curvilinear coordinates and then incorporated as boundary conditions (BCs) in a high-order accurate incompressible flowsolver. The spatial derivative terms of the systemof equations are discretized using the fourth-order compact finite difference (FD) scheme, consistent with the high-order accuracy required for the DNS. The time integration is carried...