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• W2090734852 abstract "We present a computational gas dynamics method based on the Spectral Deferred Corrections (SDC) time integration technique and the Piecewise Parabolic Method (PPM) finite volume method. The PPM framework is used to define edge-averaged quantities, which are then used to evaluate numerical flux functions. The SDC technique is used to integrate solution in time. This kind of approach was first taken by Anita et al in [1]. However, [1] is problematic when it is implemented to certain shock problems. Here we propose significant improvements to [1]. The method is fourth order (both in space and time) for smooth flows, and provides highly resolved discontinuous solutions. We tested the method by solving variety of problems. Results indicate that the fourth order of accuracy in both space and time has been achieved when the flow is smooth. Results also demonstrate the shock capturing ability of the method." @default.
• W2090734852 created "2016-06-24" @default.
• W2090734852 creator A5030484534 @default.
• W2090734852 date "2011-01-01" @default.
• W2090734852 modified "2023-10-01" @default.
• W2090734852 title "A Gas Dynamics Method Based on the Spectral Deferred Corrections (SDC) Time Integration Technique and the Piecewise Parabolic Method (PPM)" @default.
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• W2090734852 doi "https://doi.org/10.4236/ajcm.2011.14037" @default.
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