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A Comparison Study of Two Finite-Element Schemes for Computation of Shock Waves

  • Hong Luo
  • Joseph D. Baum
  • Rainald Löhner
Conference paper

Abstract

This paper describes an extensive comparison study of two high-order-accuracy finite-element schemes: one of upwind type, the other of flux-corrected transport type, for the simulation of shock wave propagation on unstructured meshes. The performance of these two schemes for the solution of the Euler equations on unstructured meshes is compared on the basis of solution accuracy and computational efficiency for some well-known test cases. Advantages and disadvantages of the two schemes are discussed.

Key words

Shock waves CFD Upwind FCT Unstructured meshes 

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References

  1. Baum JD, Löhner R (1992) Numerical simulation of passive shock deflector using an adaptive finite element scheme on unstructured grids. AIAA Paper 92–0448Google Scholar
  2. Baum JD, Löhner R (1991), Numerical simulation of shock interaction with a modern main battlefield tank. AIAA Paper 91–1666Google Scholar
  3. Löhner R, Morgan K, Peraire J, Vahdati M (1987) Finite element flux-corrected transport (FEM-FCT) for the Euler and Navier-Stokes equations. Intl. J. Num. Meth. Fluids 7:1093–1109.CrossRefMATHGoogle Scholar
  4. Luo H, Baum JD, Löhner R, Cabello J (1993 a) Adaptive edge-based finite element schemes for the Euler and Navier-Stokes equations on unstructured meshes. AIAA Paper 93–0336.Google Scholar
  5. Luo H, Baum JD, Löhner R (1993 b) Numerical solution of the Euler equations for complex aerodynamic configurations using an edge-based finite element scheme. AIAA Paper 93–2933Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Hong Luo
    • 1
  • Joseph D. Baum
    • 1
  • Rainald Löhner
    • 2
  1. 1.Science Applications International CorporationMcLeanUSA
  2. 2.CMEE, School of Engineering and Applied ScienceThe George Washington UniversityUSA

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