Modified extended BDF scheme for the discontinuous Galerkin solution of unsteady compressible flows |
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| Authors: | A Nigro A Ghidoni S Rebay F Bassi |
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| Institution: | 1. Department of Mechanical, Energy and Management Engineering, University of Calabria, Rende, Cosenza, Italy;2. Department of Mechanical and Industrial Engineering, University of Brescia, Brescia, Italy;3. Engineering Department, University of Bergamo, Dalmine, Bergamo, Italy |
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| Abstract: | In this paper, a high‐order DG method coupled with a modified extended backward differentiation formulae (MEBDF) time integration scheme is proposed for the solution of unsteady compressible flows. The objective is to assess the performance and the potential of the temporal scheme and to investigate its advantages with respect to the second‐order BDF. Furthermore, a strategy to adapt the time step and the order of the temporal scheme based on the local truncation error is considered. The proposed DG‐MEBDF method has been evaluated for three unsteady test cases: (i) the convection of an inviscid isentropic vortex; (ii) the laminar flow around a cylinder; and (iii) the subsonic turbulent flow through a turbine cascade. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | high‐order discontinuous Galerkin unsteady problems modified extended backward differentiation formulae |
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