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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 67, 2015 - Issue 2
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Original Articles

A Comparative Study of Flux Limiters Using New Numerical Methods in Unsteady Supersonic Flows

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Pages 135-160 | Received 03 Apr 2014, Accepted 26 Jun 2014, Published online: 23 Oct 2014

REFERENCES

  • R. Abgrall , How to Prevent Pressure Oscillations in Multicomponent Flow Calculations: Quasi-conservative Approach, J. Comput. Phys. , vol. 125, pp. 150–160, 1996.
  • T. Buffard , T. Gallouet , and J. M. Hérard , A Sequel to a Rough Godunov Scheme: Application to Real Gases , Comput. Fluids , vol. 29 , pp. 813 – 847 , 2000 .
  • Y. A. Çengel and A. B. Michael , Fundamentals of Thermodynamics , McGraw-Hill , New York , 2002 .
  • R. M. L. Coelho , P. L. C. Lage , and A. S. Telles , A Comparison of Hyperbolic Solvers for Ideal and Real Gas Flows , Brazilian J. Chem. Eng. , vol. 23 , pp. 301 – 318 , 2006 .
  • S. K. Godunov , A Difference Method for Numerical Calculation Of Discontinuous Equation Of Hydrodynamics , Math Sbornik , vol. 47 , pp. 217 – 306 , 1959 (in Russian) .
  • A. Jameson , W. Schmidt , and E. Turkel , Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes, AIAA Paper, 1981–1259, 1981.
  • P. Jenny , B. Mueller , and H. Thomann , Correction of Conservative Euler Solvers for Gas Mixtures , J. Comput. Phys. , vol. 132 , pp. 91 – 107 , 1997 .
  • V. T. Ton , Improved Shock-Capturing Methods for Multicomponent and Reacting Flows , J. Comput. Phys. , vol. 128 , pp. 237 – 235 , 1996 .
  • E. F. Toro and S. J. Billett , Centred TVD Schemes for Hyperbolic Conservation Laws , J. Numer. Anal. , vol. 20 , p. 4779 , 2000 .
  • B. van Leer , On the Relation between the Upwind-Differencing Schemes of Godunov, Engquist–Osher and Roe , J. Sci. Stat. Comput. , vol. 5 , pp. 1 – 20 , 1984 .
  • B. van Leer , Upwind and High-Resolution Methods for Compressible Flow: From donor Cell to Residual-Distribution Schemes , Commun. Comput. Phys. , vol. 1 , pp. 192 – 206 , 2006 .
  • Y. Wada and M. S. Liou , A Flux Splitting Scheme with High-Resolution and Robustness for Discontinuities, AIAA-94-0083, 1994.
  • M. Zijlema and P. Wesseling , Higher-Order Flux-Limiting Schemes for the Finite Volume Computation of incompressible Flow , Int. J. Comput. Fluid Dynam. , vol. 9 , no. 2 , pp. 89 – 109 , 1998 .
  • S. Karni , Multicomponent Flow Calculations by a Consistent Primitive Algorithm , J. Comput. Phys. , vol. 112 , pp. 31 – 43 , 1994 .
  • F. Kemm , A Comparative Study of TVD-Limiters Well-Known Limiters and an Introduction of New Ones , Int. J. Numer. Meth. Fluids , vol. 67 , p. 404440 , 2011 .
  • M. S. Liou and C. J. Steffen , A Flux Splitting Scheme, NASA TM104404, 1991 , J. Comput. Phys. , vol. 107 , pp. 23 – 39 , 1996 .
  • J. M. Masella , I. Faille , and T. Gallouet , On an Approximate Godunov Scheme , J. Comput. Fluid Dynam. , vol. 12 , pp. 133 – 149 , 1999 .
  • L. B. Richard and J. F. Douglas , Numerical Analysis, , 8th ed. , Thomson Brooks/Cole , Belmont , CA , 2005 .
  • T. H. Shieh , Technical report. Section of Aerothermodynamics of Institute for Fluid-mechanics of German Aerospace Center (DLR), 1999.
  • T. H. Shieh and M. R. Li , Numeric Treatment of Contact Discontinuity with Multi Gases , J. Comput. Appl. Math. , vol. 230 , pp. 656 – 673 , 2009 .
  • Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/unhb.

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