Gradient calculation methods on arbitrary polyhedral unstructured meshes for cell-centered CFD solvers

Emre Sozer, Christoph Brehm, Cetin C. Kiris

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Scopus citations


A survey of gradient reconstruction methods for cell-centered data on unstructured meshes is conducted within the scope of accuracy assessment. Formal order of accuracy, as well as error magnitudes for each of the studied methods, are evaluated on a complex mesh of various cell types through consecutive local scaling of an analytical test function. The tests highlighted several gradient operator choices that can consistently achieve 1st order accuracy regardless of cell type and shape. The tests further offered error comparisons for given cell types, leading to the observation that the “ideal” gradient operator choice is not universal. Practical implications of the results are explored via CFD solutions of a 2D inviscid standing vortex, portraying the discretization error properties. A relatively naive, yet largely unexplored, approach of local curvilinear stencil transformation exhibited surprisingly favorable properties.

Original languageEnglish
Title of host publication52nd Aerospace Sciences Meeting
ISBN (Electronic)9781624102561
StatePublished - 2014
Event52nd Aerospace Sciences Meeting 2014 - National Harbor, United States
Duration: Jan 13 2014Jan 17 2014

Publication series

Name52nd Aerospace Sciences Meeting


Conference52nd Aerospace Sciences Meeting 2014
Country/TerritoryUnited States
CityNational Harbor

Bibliographical note

Publisher Copyright:
© 2015 American Institute of Aeronautics and Astronautics Inc. All rights reserved.

ASJC Scopus subject areas

  • Aerospace Engineering


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