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

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Shock Waves @ Marseille I

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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.

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References

  • Baum JD, Löhner R (1992) Numerical simulation of passive shock deflector using an adaptive finite element scheme on unstructured grids. AIAA Paper 92–0448

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  • Baum JD, Löhner R (1991), Numerical simulation of shock interaction with a modern main battlefield tank. AIAA Paper 91–1666

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  • 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.

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  • 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.

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  • 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 93–2933

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Author information

Authors and Affiliations

  1. Science Applications International Corporation, 1710 Goodridge Drive MS 2–3-1, 22102, McLean, VA, USA

    Hong Luo & Joseph D. Baum

  2. CMEE, School of Engineering and Applied Science, The George Washington University, 20052, Washington, DC, USA

    Rainald Löhner

Authors
  1. Hong Luo
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  2. Joseph D. Baum
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  3. Rainald Löhner
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Editor information

Editors and Affiliations

  1. Centre Saint-Jérôme, Université de Provence, Case 321, F-13397, Marseille Cedex 20, France

    Raymond Brun  & Lucien Z. Dumitrescu  & 

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© 1995 Springer-Verlag Berlin Heidelberg

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Luo, H., Baum, J.D., Löhner, R. (1995). A Comparison Study of Two Finite-Element Schemes for Computation of Shock Waves. In: Brun, R., Dumitrescu, L.Z. (eds) Shock Waves @ Marseille I. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78829-1_65

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  • DOI: https://doi.org/10.1007/978-3-642-78829-1_65

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-78831-4

  • Online ISBN: 978-3-642-78829-1

  • eBook Packages: Springer Book Archive

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