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6 - Computational Fluid Dynamics for Steady and Unsteady Flows

Published online by Cambridge University Press:  30 April 2021

Arthur Rizzi
Affiliation:
Royal Institute of Technology (KTH)
Jesper Oppelstrup
Affiliation:
Royal Institute of Technology (KTH)
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Summary

The knowledge gained in the previous two chapters leads to procedures for computing solutions to the Navier–Stokes equations in 2D and 3D. Chapter 6 explains the major components and functions of a typical Reynolds-averaged Navier–Stokes (RANS) code, including the modeling of turbulence in steady or unsteady flows. Convergence acceleration devices, including multigrid techniques, are explained. Finite-volume formulation and standard physical modeling for turbulence yields the RANS equations used in most computational fluid dynamics (CFD) codes directed toward compressible-flow aeronautical applications. By taking the reader through a RANS application step by step, this chapter illustrates the process that an informed CFD user needs to know for applying a typical code of this genus to aerodynamic design. Two practical cases of transonic flow over an airfoil – one in steady flow and the other in unsteady buffeting flow – demonstrate execution of the workflow. Computing a Mach sweep across the entire transonic regime, the steady-flow example exhibits the nonlinear phenomenon of shock stall. Mastering this chapter makes the student a reasonably well-informed CFD user who understands how to carry out a sensitivity analysis to demonstrate CFD due diligence.

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Publisher: Cambridge University Press
Print publication year: 2021

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