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The application of the locally implicit method to upwind TVD schemes
Authors:Yih Nen Jeng  Uon Jien Payne
Affiliation:(1) Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan, R.O.C.
Abstract:The local implicit scheme of Reddyet al. is extended to the minmod and third-order upwind TVD schemes. Numerical tests show that the proposed scheme is stable. In addition, it is found that if the flow field has a dominant direction, setting the iteration sweep to align with this direction can significantly improve the converging speed.
Keywords:TVD scheme  upwind method  locally implicit scheme  compressible flow
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