An immersed boundary method for compressible flows using local grid refinement

Authors:
M. D. de Tullio;P. De Palma;G. Iaccarino;G. Pascazio;M. Napolitano
Affiliations:
Dipartimento di Ingegneria Meccanica e Gestionale & Centro di Eccellenza in Meccanica Computazionale, Politecnico di Bari, via Re David 200, 70125 Bari, Italy;Dipartimento di Ingegneria Meccanica e Gestionale & Centro di Eccellenza in Meccanica Computazionale, Politecnico di Bari, via Re David 200, 70125 Bari, Italy;CTR, Mechanical Engineering Department, Stanford University, Stanford, CA 94305, USA;Dipartimento di Ingegneria Meccanica e Gestionale & Centro di Eccellenza in Meccanica Computazionale, Politecnico di Bari, via Re David 200, 70125 Bari, Italy;Dipartimento di Ingegneria Meccanica e Gestionale & Centro di Eccellenza in Meccanica Computazionale, Politecnico di Bari, via Re David 200, 70125 Bari, Italy
Venue:
Journal of Computational Physics
Year:
2007

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Abstract

This paper combines a state-of-the-art method for solving the 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 the 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 the laminar compressible steady flow past an NACA-0012 airfoil, a thorough mesh-refinement study shows that the method is second-order accurate.