Open AccessImplicit gradient reconstruction (IGR) method for compressible flow simulation
Author(s) -
Manish K. Singh,
N. Munikrishna,
V. Ramesh,
N. Balakrishnan
Publication year - 2017
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/822/1/012030
Subject(s) - computation , compressibility , dissipation , mathematics , flow (mathematics) , scheme (mathematics) , control volume , computer science , compressible flow , finite volume method , flux (metallurgy) , test case , mathematical optimization , interface (matter) , mechanics , algorithm , mathematical analysis , geometry , physics , materials science , regression analysis , bubble , machine learning , maximum bubble pressure method , metallurgy , thermodynamics
The classical CIR scheme is modified by introducing a phi parameter which allows an explicit control of dissipation. Also, this permits a seamless integration of the upwind and central difference based schemes. It is demonstrated that the phi parameter can be linked to solution reconstruction and thus second order accuracy can be achieved effectively with a first order formula. An objective way of determining phi based on solution gradients on the volume interface is established. These gradients in turn are also used for viscous flux computation and therefore come at no additional cost. The efficacy of the proposed methodology is established by solving a number of standard test problems, both in 1D and 2D