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Enhancement of the momentum interpolation method on non‐staggered grids
Author(s) -
Papageorgakopoulos J.,
Arampatzis G.,
Assimacopoulos D.,
Markatos N. C.
Publication year - 2000
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(20000515)33:1<1::aid-fld978>3.0.co;2-0
Subject(s) - interpolation (computer graphics) , benchmark (surveying) , momentum (technical analysis) , convergence (economics) , range (aeronautics) , quadratic equation , grid , mathematics , rate of convergence , enclosure , computational fluid dynamics , flow (mathematics) , algorithm , mathematical optimization , computer science , geometry , physics , key (lock) , mechanics , engineering , geology , aerospace engineering , artificial intelligence , motion (physics) , telecommunications , computer security , geodesy , finance , economic growth , economics
A novel interpretation of the momentum interpolation method (MIM) is presented in this paper. A revised method using quadratic interpolating polynomials for the calculation of the cell‐face velocities is proposed. The performance of the proposed method (referred to as QMIM) is examined and its application to the well‐known lid‐driven flow in a square enclosure problem is tested. The computed results are compared with standard reported benchmark solutions for a wide range of flow conditions. The numerical experiments show clearly the superiority of the new approach over the original MIM, in terms of numerical accuracy, rate of convergence towards the grid‐independent solution, and computational efficiency. Copyright © 2000 John Wiley & Sons, Ltd.