Finite volume method : powerful means of engineering design by Radostina Petrova

By Radostina Petrova

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7. Validation of the viscous flow solver. 09525 m (see Fig. 2 Validation of the inviscid flow solver The compressible viscous flow solver presented in Chapter 2. requires relative high computational time due to the significant number of equations and fine mesh especially in the boundary layer. Hence, this approach can not be used economically for coupling with optimization methods in the explicit time marching manner. However, assuming a frictionless and convection dominated problems, the NS equations can be reduced to the Euler equations, which are the highest level approximation of inviscid flows.

3. Validation of the flow solver The goal of the validation – in case of any calculation methods – is to provide information about the correct mathematical and physical operation of the simulation by means of comparing the results with real tests or other benchmarks especially referring to the application of flow physics under investigation. 1 Validation of the viscous flow solver In the following sections, the numerical results are presented for transonic channel over circular bump and compression corner for validating frictional and heat conducted flow simulations.

01 0 -100 0 100 200 300 400 500 600 Velocity [m/s] Fig. 6. Validation of the viscous flow solver. Velocity profiles at s = 0 m (see Fig. 01 0 -100 0 100 200 300 400 500 600 Velocity [m/s] Fig. 7. Validation of the viscous flow solver. 09525 m (see Fig. 2 Validation of the inviscid flow solver The compressible viscous flow solver presented in Chapter 2. requires relative high computational time due to the significant number of equations and fine mesh especially in the boundary layer. Hence, this approach can not be used economically for coupling with optimization methods in the explicit time marching manner.

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