Numerical Solution of Two-dimensional Compressible Flow Using Immersed Boundary Method with Compact Finite Difference Scheme

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Mashayekh, Erfan | 2016

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 49153 (45)
University: Sharif University of Technology
Department: Aerospace Engineering
Advisor(s): Hejranfar, Kazem
Abstract:
In this study, the viscous compressible flow is simulated over two-dimensional geometries by using the immersed boundary method and applying a high-order accurate numerical scheme. A fourth-order compact finite-difference scheme is used to accurately discretize the spatial derivative terms of the governing equations and the time integration is performed by the fourth-order Runge–Kutta scheme. To regularize the numerical solution and eliminate spurious modes due to unresolved scales, nonlinearities and inaccuracies in implementing boundary conditions, high-order low-pass compact filters are applied. A uniform Cartesian grid that is not coincident with the body surface is used and the boundary conditions are satisfied by the ghost-cell immersed boundary method. Test cases simulated in this study for validating the numerical results are the two-dimensioal viscous compressible flow over a circular cylinder and the NACA0012 airfoil at different flow conditions. The results obtained are compared with the available numerical and experimental results which exhibit good agreement
Keywords:
Immersed Boundary Method (IBM) ; Compact Finite Difference Method ; Ghost-Cell Method ; Incompressible Viscous Flow ; Flow Simulation

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