Modified CIR Scheme for Mesh-free Euler Solver

Singh, Manish K (2011) Modified CIR Scheme for Mesh-free Euler Solver. In: Meshfree-2011 Conference, 10-11 January 2011, Aerospace Department, Indian Institute of Science, Bangalore.

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    Least Square Kinetic Upwind Method (LSKUM) is one class of mesh-free approach to solve compressible-Euler equations of gas dynamics. LSKUM is kinetic theory based upwind scheme that operates on any cloud of points. The mesh-free solver has a natural advantage in tackling complex geometries. Conventionally, higher order accuracy of space derivative term is achieved by two step defect correction formula. This procedure involves inner iteration for good convergence. For many practical 3D problems this procedure becomes expensive. The present solver uses single step Modified Courant Isaacson Rees (MCIR) scheme which is similar to first order LSKUM formulation and provides spatial accuracy closer to second order. Explicit solvers, in general are slow in convergence. In the present work, we have developed an implicit version of the MCIR based mesh-free solvers. LU-SGS scheme has been adopted for mesh-free solver and implemented in 2-D and 3-D solvers in matrix free framework. To assess the efficacy of implicit procedure, explicit and implicit 2-D solvers are tested on NACA 0012 airfoil for various flow conditions in subsonic and transonic regime. The computed 2-D results are validated against NASA experimental data and AGRAD test case. The convergence history is presented in detail. A maximum speed of close to 14 is achieved. Similarly, 3-D explicit and implicit solvers are tested on ONERA M6 wing. The computed results compare very well with experiments. The speed up obtained from implicit procedure is close 8.

    Item Type: Conference or Workshop Item (Paper)
    Subjects: AERONAUTICS > Aerodynamics
    AERONAUTICS > Aircraft Design, Testing & Performance
    Division/Department: Computational and Theoretical Fluid Dynamics Division
    Depositing User: Mr Manish K Singh
    Date Deposited: 22 Feb 2011 10:10
    Last Modified: 01 May 2013 09:32

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