Abstract
The article investigates the propagation of small perturbations in fluids whose dynamics is described by Euler and Navier–Stokes equations or by a quasi-fluid-dynamic system derived from the difference approximation of the Boltzmann equation. The problem of wave reflection from the artificial boundaries of the numerical region is solved using various boundary conditions. The analysis is repeated for difference approximations of fluid-dynamic equations. The procedure is tested for viscous subsonic flow past a plate.
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Dorodnitsyn, L.V. Acoustic Properties of Continuous and Discrete Models in Fluid Dynamics. Computational Mathematics and Modeling 12, 219–242 (2001). https://doi.org/10.1023/A:1012593306378
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DOI: https://doi.org/10.1023/A:1012593306378