Abstract
We present a single grid error estimation technique based on the derivation of a continuous equation for the discretization error. It is developed in the context of finite-volume methods for arbitrary meshes. The key issue of the evaluation of the source term is addressed through the use of a reconstruction operator. Using a higher order accurate evaluation of this term and solving the error equation with the same numerical methods and on the same computational grid as the primal problem leads to a higher order accurate error prediction. The methodology is presented in detail and its properties of asymptotic exactness and superconvergence are illustrated on several cases, including an application of practical engineering complexity. Also presented is the derivation of a powerful criterium for driving any adaptive procedure.
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 callMore From: International Journal of Computational Fluid Dynamics
Disclaimer: 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.
