Development and Validation of Characteristic Boundary Conditions for Cell-Centered Euler flow Calculations
An overview of the development, analysis, and numerical validation of a solid-wall boundary condition for cell-centered Euler-flow calculations is presented. This solid-wall boundary condition is provided by the theory of characteristics, and is based on a central-difference scheme. The boundary condition was developed to clearify the question what the effect is of various boundary-condition algorithms on the accuracy of calculation results for 3D Euler flows around delta wings.
A mathematical analysis of the boundary condition was performed. It consists of a theoretical study to the consistency, well-posedness, and stability. The numerical validation consists of a comparison of calculation results with various boundary conditions with each other. Also discretization and convergence errors were investigated.
As a test case, the NLR 7301 profile under supercritical, shock-free, flow conditions of M = 0.721, α = −0.194 deg, was chosen.
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