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An Efficient and Accurate Pressure-Correction Method for All Mach Numbers

  • Krista Nerinckx
  • Jan Vierendeels
  • Erik Dick
Conference paper

6 Conclusion

We have presented a new type of algorithm: the coupled pressure and temperature correction algorithm. The essential idea is the separation of the convective phenomenon on the one side, and the acoustic/thermodynamic phenomenon on the other side. Based on a theoretical analysis, the algorithm was constructed so that Mach-uniform accuracy and efficiency are obtained, which was confirmed by the test results. Especially the removal of the acoustic and diffusive time step limits is an important feature. When the special case of a perfect gas without heat transfer is considered, the algorithm reduces to a fully segregated method with a pressure-correction equation based on the energy equation.

Keywords

Mach Number Energy Equation Temperature Correction Predictor Step Couple Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    J.R. Edwards, M.-S. Liou. Low-diffusion flux-splitting methods for flows at all speeds. AIAA Journal, 36, pp. 1610–1617, 1998.CrossRefGoogle Scholar
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    J. Vierendeels, B. Merci and E. Dick. Benchmark solutions for the natural convective heat transfer problem in a square cavity with large horizontal temperature differences. International Journal of Numerical Methods for Heat and Fluid Flow, 13(8), pp. 1057–1078, 2003.zbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Krista Nerinckx
    • 1
  • Jan Vierendeels
    • 1
  • Erik Dick
    • 1
  1. 1.Ghent UniversityGhentBelgium

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