High-order accurate computations for unsteady aerodynamics

Ken Mattsson, Magnus Svärd, Mark Carpenter, Jan Nordström

Research output: Contribution to journalArticlepeer-review

48 Citations (Scopus)


A high-order accurate finite difference scheme is used to perform numerical studies on the benefit of high-order methods. The main advantage of the present technique is the possibility to prove stability for the linearized Euler equations on a multi-block domain, including the boundary conditions. The result is a robust high-order scheme for realistic applications. Convergence studies are presented, verifying design order of accuracy and the superior efficiency of high-order methods for applications dominated by wave propagation. Furthermore, numerical computations of a more complex problem, a vortex-airfoil interaction, show that high-order methods are necessary to capture the significant flow features for transient problems and realistic grid resolutions. This methodology is easy to parallelize due to the multi-block capability. Indeed, we show that the speedup of our numerical method scales almost linearly with the number of processors.

Original languageEnglish
Pages (from-to)636-649
Number of pages14
JournalComputers and Fluids
Issue number3
Publication statusPublished - Mar 2007
Externally publishedYes

ASJC Scopus subject areas

  • General Computer Science
  • General Engineering


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