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A High-resolution Scheme Based on the Normalized Flux Formulation in Pressure-based Algorithm

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Abstract

The paper presents an implementation of NVD scheme into an implicit finite volumes procedure, which uses pressure as a working variable. The newly developed algorithm has two new features: (i) the use of the normalized flux and space formulation (NFSF) methodology to bound the convective fluxes and (ii) the use of a high-resolution scheme in calculating interface density values to enhance the shock-capturing property of the algorithm. The virtues of the newly developed method are demonstrated by solving a wide range of flows spanning the subsonic, transonic and supersonic spectrum. Results obtained indicate higher accuracy when calculating interface density values using a high-resolution scheme.

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References

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© 2005 Springer-Verlag Berlin Heidelberg

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Djavareshkian, M.H., Islami, S.B. (2005). A High-resolution Scheme Based on the Normalized Flux Formulation in Pressure-based Algorithm. In: Zhang, W., Tong, W., Chen, Z., Glowinski, R. (eds) Current Trends in High Performance Computing and Its Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27912-1_30

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