Application of Modified CIR Splitting with Grid-Free Method

Singh, Manish K and Ramesh, V and Mathur, Jaideep Sahai and Deshpande, SM (2008) Application of Modified CIR Splitting with Grid-Free Method. Technical Report. National Aerospace Laboratories, Bangalore.

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    Abstract

    Grid generation for complex configurations has always been a time consuming and challenging task. Further, incremental changes in geometry during the design phase necessitate repetition of the grid generation process. However, in recent times there has been a tremendous interest in grid free methods, which can compute on any cloud of points, thus eliminating the effort and time needed for the grid generation. Least Squares Kinetic Upwind Method (LSKUM) is one such grid free approach to solve the compressible Euler equations of gas dynamics. This is a kinetic theory based upwind scheme, which can operate on any arbitrary distribution of points. LSKUM has been demonstrated for many 2D and 3D applications. Second order accuracy in space for LSKUM is achieved through two-step defect correction method. In the present work a single step higher order scheme based on modified CIR (MCIR) splitting has been incorporated. MCIR approach leads to a low-dissipation scheme equivalent to a conventional second order scheme. This also reduces the computational time. This idea has been tested for transonic flow past ONERA-M6 wing. Results are compared with experiments and also with conventional higher order FEM based solver to verify and validate the computations of the grid free method with MCIR splitting.

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Grid-free Method, Euler Solver, ONERA M6 Wing, Modified CIR Scheme, Least Square Method, LSKUM
    Subjects: AERONAUTICS > Aerodynamics
    Division/Department: Computation and Theoretical Fluid Dynamics Division, Computation and Theoretical Fluid Dynamics Division, Computation and Theoretical Fluid Dynamics Division, Other
    Depositing User: Mr Manish K Singh
    Date Deposited: 28 Jul 2010 13:37
    Last Modified: 28 Jul 2010 14:10
    URI: http://nal-ir.nal.res.in/id/eprint/8833

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