Spectral multigrid methods with applications to transonic potential flow

Spectral multigrid methods are demonstrated to be a competitive technique for solving the transonic potential-flow equation. The spectral discretization, relaxation scheme, and multigrid techniques are described in detail. Significant departures from current approaches are first illustrated on sever...

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Bibliographic Details
Published in:Journal of computational physics 1985-01, Vol.57 (1), p.43-76
Main Authors: Streett, Craig L, Zang, Thomas A, Hussaini, M.Yousuff
Format: Article
Language:English
Subjects:
Aerodynamics
Compressible flows
shock and detonation phenomena
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
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Summary:Spectral multigrid methods are demonstrated to be a competitive technique for solving the transonic potential-flow equation. The spectral discretization, relaxation scheme, and multigrid techniques are described in detail. Significant departures from current approaches are first illustrated on several linear problems. The principal applications and examples, however, are for compressible potential flow. these examples include the relatively challenging case of supercritical flow over a lifting airfoil.
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(85)90052-X