On the ‘computation of two- and three-dimensional steady transonic flows by relaxation methods

Bailey, F. R.

doi:10.1007/3-540-07408-2_1

Cited by 9 publications

(1 citation statement)

References 21 publications

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“…Further, define an intermediate potential $' by where co is the over-relaxation factor, below chosen as 1.8. Then $ + is given by 3 (1 ~ HykiP'iflc + to-ijkP't-ijk + q'tjk + r'ijk =0 This discrete inner problem was formulated above as a sequence of dense linear systems …”

Section: Relaxation Proceduresmentioning

confidence: 99%

Transonic computations about complex configurations using coupled inner and outer flow equations

Nävert

Sedin

1988

Journal of Aircraft

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Modern aircraft, particularly fighters, are characterized by a high degree of geometrical complexity. In transonic computations about such configurations, small disturbance (TSP) formulations on Cartesian grids offer a robust and cost-effective alternative to more elaborate methods in many engineering applications. Wing boundary conditions are then easily imposed using thin-wing theory, whereas fuselage boundary conditions usually are more difficult to implement. This paper presents a numerical method for solving the TSP equation about a complex slender configuration emphasizing a consistent treatment of the boundary conditions on the fuselage surface. The basic concept is a decomposition into two coupled inner and outer problems, using the theory of matched asymptotic expansions as guidance. The outer problem is discretized using a standard three-dimensional finite-difference scheme. The inner problem, enforcing the fuselage boundary conditions, is solved as a sequence of crossflow problems, using a linear two-dimensional panel method. Several test runs on a CRAY-1 computer have demonstrated the reliability and robustness of the above procedure. Computed pressure distributions for a number of three-dimensional cases, including one of the fighter type, are in good agreement with wind tunnel test data.

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Section: Relaxation Proceduresmentioning

confidence: 99%