The Development of High-Order Methods for Real World Applications
University of Kansas Lawrence United States
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With increased computational power and progress in numerical methods over the past several decades, Computational Fluid Dynamics CFD isnow used routinely as a powerful tool in the design of aircraft. Current production CFD codes used in the aerospace industry are usually secondorder accurate. High-order methods have the potential to achieve higher accuracy at less cost than low-order methods. This potential has beendemonstrated conclusively for smooth problems in the latest InternationalWorkshops on High-OrderMethods. For non-smooth problems, solutionbased hp-adaptation offers the best promise. The primary objective of the present study is to develop robust and efficient high-order CFD methodsand tools for the compressible Navier-Stokes equations that can provide engineering accuracy for real world industry problems. Several pacingitems are addressed, which include hp-adaptations, sub-grid stress models for large eddy simulations, and high-order mesh generation.