Design and Verification Methodology of Boundary Conditions for Finite Volume Schemes
Technical paper, Jun-Aug 2012
AIR FORCE RESEARCH LAB EDWARDS AFB CA PROPULSION DIR
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Despite the critical importance of resolving flow at or near domain boundaries, often boundary condition formulations are implemented in an ad-hoc fashion. The purpose of this work is to provide a general framework for the implementation and, importantly, the verification of boundary conditions for node- and cell-centered finite volume schemes. These conditions may include any combination of Dirichlet conditions, Neumann conditions, extrapolation, and in some instances, the conservation equations themselves. Specific conditions for inviscid walls, inflow, and outflow are systematically tested using manufactured and exact solutions. The procedures in this work provide a method for the verification of complex boundary conditions as well as shed valuable physical insight for different problem situations.
- Fluid Mechanics