Finite Volume Formulation of a Third-Order Residual-Based Compact Scheme for Unsteady Flow Computations

  • Karim Grimich
  • Bertrand Michel
  • Paola Cinnella
  • Alain Lerat
Conference paper
First Online:
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 99)

Abstract

The paper discusses the design principles of a Finite-Volume Residual-Based Compact (RBC) scheme for the spatial discretization of the unsteady compressible governing equations of gas dynamics on general structured meshes. The scheme makes use of weighted approximations that allow to ensure high accuracy while taking benefit from the structured nature of the grid. The stability properties of the proposed spatial approximation are discussed. Numerical applications to unsteady compressible flows demonstrate the advantages of the proposed formulation with respect to straightforward extensions of RBC schemes.

Keywords

Strouhal Number Dissipation Operator Irregular Grid Turbine Cascade Irregular Mesh 
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Notes

Acknowledgements

This research has been done within the framework of the European project IDIHOM (Industrialization of High Order Methods) which aims to promote the use of high-order numerical methods by the European aerospace industry.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Karim Grimich
    • 1
  • Bertrand Michel
    • 2
  • Paola Cinnella
    • 1
  • Alain Lerat
    • 1
  1. 1.DynFluid LaboratoryArts et Métiers-ParisTechParisFrance
  2. 2.Département de Simulation Numérique des Ecoulements et AéroacoustiqueONERAChatillon CedexFrance

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