An entropy correction method for unsteady full potential flows with strong shocks
TLDR
In this paper, an entropy correction method for the unsteady full potential equation is presented, which is modified to account for entropy jumps across shock waves, and solved in generalized coordinates using an implicit, approximate factorization method.Abstract:
An entropy correction method for the unsteady full potential equation is presented. The unsteady potential equation is modified to account for entropy jumps across shock waves. The conservative form of the modified equation is solved in generalized coordinates using an implicit, approximate factorization method. A flux-biasing differencing method, which generates the proper amounts of artificial viscosity in supersonic regions, is used to discretize the flow equations in space. Comparisons between the present method and solutions of the Euler equations and between the present method and experimental data are presented. The comparisons show that the present method more accurately models solutions of the Euler equations and experiment than does the isentropic potential formulation.read more
Citations
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Proceedings ArticleDOI
Computational methods for unsteady transonic flows
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TL;DR: The importance of mixed attached and separated flow modeling for aeroelastic analysis is discussed and recent calculations of periodic aerodynamic oscillations for an 18 percent thick circular arc airfoil are given.
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Unsteady Transonic Airfoil Computation Using Implicit Euler Scheme on Body-Fixed Grid
Osama A. Kandil,H. Andrew Chuang +1 more
TL;DR: In this article, an implicit approximately-factored finite-volume scheme for the time-accurate numerical solution of the unsteady Euler equations of the flow relative motion with respect to an airfoil-fixed frame of reference is presented.
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Full-potential integral solution for transonic flows with and without embedded Euler domains
Osama A. Kandil,Hong Hu +1 more
TL;DR: In this article, two methods are presented to solve for the transonic airfoil flow problems: the first method is based on the integral equation solution of the full-potential equation in terms of the velocity field, and a Shock Capturing-Shock Fitting (SCSF) scheme has been developed.
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Investigation of acceleration effects on missile aerodynamics using computational fluid dynamics
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Inviscid flows over a cylinder
Mohamed M. Hafez,E.M. Wahba +1 more
TL;DR: In this paper, the authors simulate steady inviscid flows over a cylinder using potential and stream functions, including entropy and vorticity corrections for incompressible, subsonic, transonic and supersonic flows.
References
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Implicit Finite-Difference Simulation of Flow about Arbitrary Two-Dimensional Geometries
TL;DR: In this paper, an automatic grid generation program is employed, and because an implicit finite-difference algorithm for the flow equations is used, time steps are not severely limited when grid points are finely distributed.
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Implicit Finite-Difference Computations of Unsteady Transonic Flows about Airfoils
TL;DR: In this paper, a computer code, LTRAN2, has been constructed that efficiently computes low-frequency unsteady transonic flows about airfoils in motion.
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Multiple solutions of the transonic potential flow equation
John Steinhoff,Antony Jameson +1 more
TL;DR: In this paper, it was shown that the transonic potential flow partial differential equation admits nonsymmetric solutions with large positive or negative lift, for symmetric airfoils at zero angle of attack.
Journal ArticleDOI
A fast, time-accurate, unsteady full potential scheme
TL;DR: In this paper, the unsteady form of the full potential equation is solved in conservation form by an implicit method based on approximate factorization at each time level, internal Newton iterations are performed to achieve time accuracy and computational efficiency.
Proceedings ArticleDOI
A conservative finite difference algorithm for the unsteady transonic potential equation in generalized coordinates
TL;DR: In this article, an implicit, approximate-factorization, finite-difference algorithm was developed for the computation of unsteady, inviscid transonic flows in two and three dimensions.