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Fast numerical solver for transonic flows
Computers & Fluids, 1989Abstract A fast numerical solver of the Euler equations is presented. The method is based on the Lambda formulation and is an improved version of the scheme proposed by Moretti [1, 2], further revised by Moretti—Onofri [3] and Dadone—Moretti [4]. Results for internal flows are presented, obtained with both orthogonal and non-orthogonal grids.
ONOFRI, Marcello, LENTINI, Diego
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2003
The paper is only a brief account of the most typical peculiarities of internal transonic flows rather than any detailed report on any particular problem. The reason for this general orientation of the paper is in my belief that while there are at our disposal many highly efficient computing facilities and sophisticated codes capable of solving almost ...
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The paper is only a brief account of the most typical peculiarities of internal transonic flows rather than any detailed report on any particular problem. The reason for this general orientation of the paper is in my belief that while there are at our disposal many highly efficient computing facilities and sophisticated codes capable of solving almost ...
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Failure of uniqueness in transonic flow
Applied Numerical Mathematics, 1992(From the introduction.) It is well known that the solution of Euler's equations for rotational flow around a body is not uniquely determined when there are closed streamlines along which the circulation is unspecified. More surprising has been the discovery of profiles for which the potential flow is no longer unique in the transonic regime.
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Some degenerate transonic flows
Journal of Applied Mathematics and Mechanics, 1958Abstract We consider transonic motions of an ideal gas which are represented in the velocity hodograph by a curve or by a surface. In the second part of the note we determine a class of self-similar solutions representing plane and axially symmetric flows.
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Modern Developments in Transonic Flow
SIAM Journal on Applied Mathematics, 1975A survey is given of transonic small disturbance theory. Basic equations, shock relations, similarity laves, lift and drag integrals are derived., The airfoil boundary value problem is formulated. Finite difference methods and computational algorithms are described. Results are compared with other calculation methods and experiments.
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1989
Transonic flow is generally associated with the inviscid fluid effects when a flow with a freestream Mach number M ∞ ≃ 1 accelerates to locally supersonic velocities, or decelerates to locally subsonic velocities, as it moves streamwise past a body. However, transonic flows can occur in many other circumstances such as on high lift devices at low M ...
A. M. Goodsell+2 more
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Transonic flow is generally associated with the inviscid fluid effects when a flow with a freestream Mach number M ∞ ≃ 1 accelerates to locally supersonic velocities, or decelerates to locally subsonic velocities, as it moves streamwise past a body. However, transonic flows can occur in many other circumstances such as on high lift devices at low M ...
A. M. Goodsell+2 more
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Entropy and vorticity corrections for transonic flows
International Journal for Numerical Methods in Fluids, 1983AbstractDifferent models for inviscid transonic flows are examined. The common assumptions that the flow is isentropic and irrotational are critically evaluated. Entropy and vorticity correction procedures for potential and stream function formulations are presented, together with the details of the treatment of shocks and wakes, and drag and lift ...
Mohamed M. Hafez, D. Lovell
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Transonic flow about a circular cylinder
Computers & Fluids, 1989Abstract Transonic flows governed by the Euler equations, about half and full circular cylinders, are investigated numerically. The tool to carry out this study is a finite-difference method based upon an upwind hybrid formulation, a blend of the “lambda” and the “flux-difference splitting” formulations. In the case of the half cylinder, a separation
PANDOLFI M., LAROCCA, FRANCESCO
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On the breakdown of plane transonic flow
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958The perturbation, problem for steady plane transonic flow is discussed (I) by means of particular exact solutions of the variational equations, and (II) by a general existence theorem valid for a modified Tricomi gas law. It is shown that even for a correctly set boundary-value problem and with arbitrarily smooth perturbations, the flow will, in ...
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