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Extension of multigrid methodology to supersonic/hypersonic 3‐D viscous flows
Author(s) -
Vatsa Veer N.,
Turkel Eli,
Abolhassani J. S.
Publication year - 1993
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/fld.1650171002
Subject(s) - transonic , multigrid method , hypersonic speed , mach number , supersonic speed , computational fluid dynamics , aerodynamics , mathematics , computer science , aerospace engineering , mechanics , physics , mathematical analysis , partial differential equation , engineering
A multigrid acceleration technique developed for solving the three‐dimensional Navier–Stokes equations for subsonic/transonic flows has been extended to supersonic/hypersonic flows. An explicit multistage Runge–Kutta type of time‐stepping scheme is used as the basic algorithm in conjunction with the multigrid scheme. Solutions have been obtained for a blunt conical frustum at Mach 6 to demonstrate the applicability of the multigrid scheme to high‐speed flows. Computations have also been performed for a generic High‐Speed Civil Transport configuration designed to cruise at Mach 3. These solutions demonstrate both the efficiency and accuracy of the present scheme for computing high‐speed viscous flows over configurations of practical interest.