On the computation of the transonic perturbation flow field around two- and three-dimensional oscillating wings

Weatherill, W. H.; Ehlers, F. E.; Sebastian, J. D.

doi:10.2514/6.1976-99

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Time-linearized Equations1

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1977

1988

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Cited by 14 publications

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“…The solution to ( 7 ) must satisfy the steady version of the shock relations ( 4 ) and ( 5 ) . The shock relations for ( 8 ) are discussed later .…”

Section: Time-linearized Equationsmentioning

confidence: 99%

Small unsteady perturbations in transonic flows

Fung

Seebass

1977

10th Fluid and Plasmadynamics Conference

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“…The solution to ( 7 ) must satisfy the steady version of the shock relations ( 4 ) and ( 5 ) . The shock relations for ( 8 ) are discussed later .…”

Section: Time-linearized Equationsmentioning

confidence: 99%

Small unsteady perturbations in transonic flows

Fung

Seebass

1977

10th Fluid and Plasmadynamics Conference

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On least squares approximations to indefinite problems of the mixed type

Fix¹,

Gunzburger²

1978

Numerical Meth Engineering

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SUMMARYA least squares method is presented for computing approximate solutions of ipdefinite partial differential equations of the mixed type such as those that arise in connection with transonic flutter analysis. The method retains the advantages of finite difference schemes namely simplicity and sparsity of the resulting matrix system. However, it offers some great advantages over finite difference schemes. First, the method is insensitive to the value of the forcing frequency, i.e., the resulting matrix system is always symmetric and positive definite. As a result, iterative methods may be successfully employed to solve the matrix system, thus taking full advantage of the sparsity. Furthermore, the method is insensitive to the type of the partial differential equation, i.e., the computational algorithm is the same in elliptic and hyperbolic regions. In this work the method is formulated and numerical results for model problems are presented. Some theoretical aspects of least squares approximations are also discussed.

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Unsteady mixed flows with in-passage shocks

Puri

1988

Computational Mechanics

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On the computation of the transonic perturbation flow field around two- and three-dimensional oscillating wings

Cited by 14 publications

References 4 publications

Small unsteady perturbations in transonic flows

Small unsteady perturbations in transonic flows

On least squares approximations to indefinite problems of the mixed type

Unsteady mixed flows with in-passage shocks

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