Abstract
The least-squares (LS) method is often used in computational aerodynamics to reconstruct a given function at certain points of a computational grid. In this paper we discuss the accuracy of the LS approximation on highly stretched meshes that are inherent in computational aerodynamics. A new definition of a distant point in a LS reconstruction stencil will be given in order to explain the poor performance of the method in a boundary layer region. Namely, based on the concept of outliers widely used in the statistics, we demonstrate that the definition of a distant point in a LS reconstruction stencil should take into account the solution properties and it cannot rely upon the geometric shape of the stencil only. Our approach is illustrated with numerical examples.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
