Summary
A cell vertex finite volume method for the solution of the three dimensional Euler equations has been developed. The computations can be carried out block-wise after dividing the computational domain into smaller blocks to reduce the memory requirement for a single processor computer and also to facilitate parallel computing. A five stage Runge-Kutta scheme has been used to advance the solution in time. Enthalpy damping, implicit residual smoothing, local time stepping, and grid sequencing are used for convergence acceleration. The solution procedure has been studied in detail by computing transonic flow over the ONERA M-6 wing, using both C-H and O-H type structured grids. The effects of changing the artificial viscosity parameters and the distance of the far field boundary are also investigated.
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Chakrabartyy, S.K., Dhanalakshmi, K. & Mathur, J.S. Computation of three-dimensional transonic flow using a cell vertex finite volume method for the Euler equations. Acta Mechanica 115, 161–177 (1996). https://doi.org/10.1007/BF01187436
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DOI: https://doi.org/10.1007/BF01187436