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- W587070876 abstract "The application of a combination of Newton iteration and multigrid line relaxation to transonic potential-flow calculations was investigated. Fully conservative potential flows around aerofoils were used as test problems. The multigrid process was used in each Newton iteration step to calculate correction potentials. It was found that the iteration to the circulation has to be kept outside the multigrid algorithm in order to achieve good calculation efficiency. Meaningful residual norms, to be used in termination tests of loops, could be designed using finite-difference formulas with asymptotic scaling. Mass-flux-vector splitting was found to solve instability problems encountered at sonic lines with artificial-viscosity terms. The multigrid algorithms seem not to be suited for the efficient update of shock positions. A special sub algorithm outside the multigrid algorithm was used to update shock positions; this sub algorithm will have to be replaced by a more efficient sub algorithm, however. The combined Newton/multigrid algorithm turned out to be very efficient for subsonic flows around aerofoils with lift. For transonic flows, the algorithm is convergent." @default.
- W587070876 created "2016-06-24" @default.
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- W587070876 date "1981-10-10" @default.
- W587070876 modified "2023-09-23" @default.
- W587070876 title "A fast-solver algorithm for steady transonic potential-flow computations with Newton iteration amnd multigrid relaxation" @default.
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