|An integral approach to compute compressible fluid flows in domains containing obstacles |
(Article) Publié: International Journal On Finite Volumes, vol. 12 p.1-39 (2015)
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We detail in this paper an integral approach in order to cope with the computation of flows of a compressible fluid in a physical domain containing many small obstacles. The basic methodology and the main ingredients used in schemes are provided, together with some exact solutions that are used to benchmark the integral approach. The latter is compared to the reference solution that accounts for all obstacles through standard wall-boundary conditions. Numerical results are also shown to be more accurate than the standard well-balanced approach. This work is actually the sequel of paper  that investigates the computation of compressible flows in variable cross-section ducts.