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An a Posteriori Very Efficient Hybrid Method for Compressible Flows

  • Javier Fernández-FidalgoEmail author
  • Xesús Nogueira
  • Luis Ramírez
  • Ignasi Colominas
Chapter
First Online:
Part of the Springer Tracts in Mechanical Engineering book series (STME)

Abstract

In this work we present a framework for a high-order hybrid method made up of an explicit finite-difference scheme and a member of the Weighted Essentially Non-Oscillatory (WENO) family. A new a posteriori switching criterion is developed based on the Multidimensional Optimal Order Detection (MOOD) method. The schemes tested here are chosen to illustrate the process, we select non-standard fourth order finite difference and fifth order compact and non-compact WENO, but any other combination of central finite differences and upwind schemes could be used as well. In this work we present a one-dimensional and a two-dimensional case to illustrate the speed, accuracy and shock-capturing properties of the proposed schemes.

Keywords

High-order schemes Compressible flows Finite differences Curvilinear grids A posteriori WENO Hybrid 
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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Javier Fernández-Fidalgo
    • 1
    Email author
  • Xesús Nogueira
    • 1
  • Luis Ramírez
    • 1
  • Ignasi Colominas
    • 1
  1. 1.Universidade da Coruña, Group of Numerical Methods in EngineeringA CoruñaSpain

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