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The Development of High Order Methods for Real World Applications

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Technical Report,01 Sep 2012,31 Aug 2015

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University of Kansas Lawrence

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With increased computational power and progress in numerical methods over the past several decades, Computational Fluid Dynamics CFD is now used routinely as a powerful tool in the design of aircraft. Current production CFD codes used in the aerospace industry are usually second order accurate. High-order methods have the potential to achieve higher accuracy at less cost than low-order methods. This potential has been demonstrated conclusively for smooth problems in the latest International Workshops on High-Order Methods. For non-smooth problems, solution based hp-adaptation offers the best promise. The primary objective of the present study is to develop robust and efficient high-order CFD methods and tools for the compressible Navier-Stokes equations that can provide engineering accuracy for real world industry problems. Several pacing items are addressed, which include hp-adaptations, sub-grid stress models for large eddy simulations, and high-order mesh generation.

Subject Categories:

  • Theoretical Mathematics
  • Operations Research

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