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By H. Oh

ISBN-10: 9535102702

ISBN-13: 9789535102700

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Field of the CABARET solution, (b) comparison of the fine-grid CABARET results with the reference solution of Colonius et al (1994), (c) comparison of the fine-grid 3rd order Roe/MUSCL results with the reference solution of Colonius et al (1994). 5c. 5a), for the RoeMUSCL scheme there is some 30% overprediction of the peak sound directivity that is associated with numerical dispersion. Clearly, the acoustic peak corresponds to the downstream vortex direction where the sound waves spend more time inside the strongest vortex-induced hydrodynamic field and which direction is more sensitive to the linear dispersion error of the numerical scheme.

The turbulence models are summarized in Table 4 Family group Reynolds – Averaged Navier – Stokes (RANS) Models Zero equation models One equation models Two equation models κ–ε κ–ω Reynolds Stress Model (RSM) Large Eddy Simulation (LES) Description and advantages Smagorinsky-Lilly model Dynamic subgrid-scale model RNG – LES model WALLE model The most widely used models. Its main advantages are short computation time, stable calculations and reasonable results for many flows. Provides good predictions for all types of flows, including swirl, and separation.

3a). It is, therefore, tempting to deactivate the TVD limiter since in the case considered there are no shocks involved. 3b). However, after a few vortex circulation times, spurious oscillations that correspond to the nonphysical propagation direction of the short scales (cf. 1b) grow until they completely contaminate the vortex solution (fig3c). (a) (b) (c) Fig. 2. Steady compressible Gaussian vortex in a periodic box domain: vorticity levels of the CABARET solution at time t=100 on (a) grid (30x30), (b) grid (60x60) , and (c) grid (120x120).

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