Supersonic flow past a flat lattice of cylindrical rods. (English. Russian original) Zbl 1381.76144
Comput. Math. Math. Phys. 56, No. 6, 1012-1019 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 6, 1025-1033 (2016).
Summary: Two-dimensional supersonic laminar ideal gas flows past a regular flat lattice of identical circular cylinders lying in a plane perpendicular to the free-stream velocity are numerically simulated. The flows are computed by applying a multiblock numerical technique with local boundary-fitted curvilinear grids that have finite regions overlapping the global rectangular grid covering the entire computational domain. Viscous boundary layers are resolved on the local grids by applying the Navier-Stokes equations, while the aerodynamic interference of shock wave structures occurring between the lattice elements is described by the Euler equations. In the overlapping grid regions, the functions are interpolated to the grid interfaces. The regimes of supersonic lattice flow are classified. The parameter ranges in which the steady flow around the lattice is not unique are detected, and the mechanisms of hysteresis phenomena are examined.
MSC:
| 76J20 | Supersonic flows |
| 76L05 | Shock waves and blast waves in fluid mechanics |
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
Keywords:
multiblock computational technique; Navier-Stokes and Euler equations; shock wave structures; wake; hysteresisReferences:
| [1] | S. V. Guvernyuk, K. G. Savinov, and G. S. Ul’yanov, “Supersonic flow round blunt perforated screens,” Fluid Dyn. 20 (1), 124-129 (1985). · doi:10.1007/BF01097374 |
| [2] | F. A. Maksimov, “Supersonic flow around a set of bodies,” Komp’yut. Issled. Model. 5 (6) 969-980 (2013). |
| [3] | A. A. Andreev and A. S. Kholodov, “On three-dimensional supersonic flow past blunt bodies when interference is present,” USSR Comput. Math. Math. Phys. 29 (1), 103-107 (1989). · Zbl 0713.76062 · doi:10.1016/0041-5553(89)90051-7 |
| [4] | Maksimov, F. A.; Shevelev, Y. D., Interference of two cylinders in supersonic flow, 62-71 (2010), St. Petersburg |
| [5] | I. A. Zhdan, V. P. Stulov, and P. V. Stulov, “Aerodynamic interaction of two bodies in a supersonic flow,” Dokl. Phys. 49 (5) 315-317 (2004). · Zbl 1391.76278 · doi:10.1134/1.1763624 |
| [6] | Guvernyuk, S. V., Supersonic flow around bodies with grid screen, 236-242 (2005), Moscow |
| [7] | S. V. Guvernyuk, “Adiabatic curve of a penetrable surface,” Aeromekh. Gaz. Din., No. 3, 84-89 (2002). |
| [8] | A. N. Kudryavtsev and D. B. Epshtein, “Hysteresis phenomenon in supersonic flow past a system of cylinders,” Fluid Dyn. 47 (3), 395-402 (2012). · Zbl 1256.76044 · doi:10.1134/S0015462812030131 |
| [9] | Maksimov, F. A.; Shevelev, Y. D., Numerical modeling of 3D supersonic viscous flows with separation, 384-421 (2003), Moscow |
| [10] | Maksimov, F. A.; Shevelev, Y. D., Use of hybrid grids in aerodynamic design, 330-338 (2012), Sarov |
| [11] | S. A. Isaev, P. A. Baranov, and A. E. Usachov, Multiblock Computing Technologies in VP2/3 Aerothermodynamics Package (LAPLAMBERT Academic, Saarbryuket, 2013). |
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