An immersed boundary method for compressible flows using local grid refinement. (English) Zbl 1118.76043
Summary: This paper combines a state-of-the-art method for solving three-dimensional preconditioned Navier-Stokes equations for compressible flows with an immersed boundary approach, to provide a Cartesian-grid method for computing complex flows over a wide range of Mach number. Moreover, a flexible local grid refinement technique is employed to achieve high resolution near the immersed body and in other high-flow-gradient regions at a fraction of the cost required by a uniformly fine grid. The method is validated versus well-documented steady and unsteady test problems, for a wide range of both Reynolds and Mach numbers. Finally, and most importantly, for the case of laminar compressible steady flow past NACA-0012 airfoil, a thorough mesh-refinement study shows that the method is second-order accurate.
MSC:
| 76M12 | Finite volume methods applied to problems in fluid mechanics |
| 76N15 | Gas dynamics (general theory) |
Software:
EUROVALReferences:
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