Technique For Very High Order Nonlinear Simulation And Validation Nasa Tm 2001 210985 Dec 6 2001
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AIAA Journal
Author: American Institute of Aeronautics and Astronautics
language: en
Publisher:
Release Date: 2006
Technique for Very High Order Nonlinear Simulation and Validation
Author: National Aeronautics and Space Administration (NASA)
language: en
Publisher: Createspace Independent Publishing Platform
Release Date: 2018-06-19
Finding the sources of sound in large nonlinear fields via direct simulation currently requires excessive computational cost. This paper describes a simple technique for efficiently solving the multidimensional nonlinear Euler equations that significantly reduces this cost and demonstrates a useful approach for validating high order nonlinear methods. Up to 15th order accuracy in space and time methods were compared and it is shown that an algorithm with a fixed design accuracy approaches its maximal utility and then its usefulness exponentially decays unless higher accuracy is used. It is concluded that at least a 7th order method is required to efficiently propagate a harmonic wave using the nonlinear Euler equations to a distance of 5 wavelengths while maintaining an overall error tolerance that is low enough to capture both the mean flow and the acoustics. Dyson, Rodger W. Glenn Research Center NASA/TM-2001-210985, E-12839, NAS 1.15:210985