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Digitale Medien

Letters to the editor (1981)

Habashi, W. G. ; Youngson, G. G. ; Patankar, S. V.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 17 (1981), S. 1740-1742

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ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Zusätzliches Material: 4 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620171112

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Digitale Medien

A second order finite element method for the solution of the transonic Euler and Navier-Stokes equations (1995)

Baruzzi, G. S. ; Habashi, W. G. ; Guevremont, J. G. ; [weitere]

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 20 (1995), S. 671-693

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ISSN: 0271-2091

Schlagwort(e): airfoil ; artificial viscosity ; upwinding ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: The numerical solution of the compressible Euler and Navier-Stokes equations in primitive variables form requires the use of artificial viscosity or upwinding. Methods that are first-order-accurate are too dissipative and reduce the effective Reynolds number substantially unless a very fine grid is used. A first-order finite element method for the solution of the Euler and Navier-Stokes equations can be constructed by adding Laplacians of the primitive variables to the governing equations. Second-order schemes may require a fourth-order dissipation and higher-order elements. A finite element approach is proposed in which the fourth-order dissipation is recast as the difference of two Laplacian operators, allowing the use of bilinear elements. The Laplacians of the primitive variables of the first-order scheme are thus balanced by additional terms obtained from the governing equations themselves, tensor identities or other forms of nodal averaging. To demonstrate formally the accuracy of this scheme, an exact solution is introduced which satisfies the continuity equation identically and the momentum equations through forcing functions. The solutions of several transonic and supersonic inviscid and laminar viscous test cases are also presented and compared to other available numerical data.

Zusätzliches Material: 17 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650200802

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Digitale Medien

A DIRECTIONALLY ADAPTIVE METHODOLOGY USING AN EDGE-BASED ERROR ESTIMATE ON QUADRILATERAL GRIDS (1996)

AIT-ALI-YAHIA, D. ; HABASHI, W. G. ; TAM, A. ; [weitere]

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 23 (1996), S. 673-690

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ISSN: 0271-2091

Schlagwort(e): Euler equations ; directionally adaptive meshes ; edge-based error estimate ; structured grids ; mesh movement ; finite element method ; high-speed flows ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: The present paper describes a directionally adaptive finite element method for high-speed flows, using an edge-based error estimate on quadrilateral grids. The error of the numerical solution is estimated through its second derivatives and the resulting Hessian tensor is used to define a Riemannian metric. An improved mesh movement strategy, based on a spring analogy, but with no orthogonality constraints, is introduced to equidistribute the lengths of the edges of the elements in the defined metric. The grid adaptation procedure is validated on an analytical test case and the efficiency of the overall methodology is investigated on supersonic and hypersonic benchmarks.

Zusätzliches Material: 21 Ill.

Materialart: Digitale Medien

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Numerical solution of subsonic and transonic cascade flows (1982)

Habashi, W. G. ; Kotiuga, P. L.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 2 (1982), S. 317-330

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ISSN: 0271-2091

Schlagwort(e): Transonic flow ; Turbomachines ; Finite elements ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: In this work a study of the application of the finite element method to transonic flows in axial turbomachines is undertaken.Solution techniques capable of accurately predicting flows from the incompressible regime up to the establishment of shocks in the transonic regime are presented. In the subsonic and shockless transonic regimes a local linearization method capable of very rapid convergence is used. In the full transonic regime the artificial compressibility method is employed to exclude downstream influences in the supersonic regions. The two approaches can be combined in a unified package and appropriate switches introduced to select the relevant method in any flow regime.

Zusätzliches Material: 14 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650020402

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A transonic quasi-3D analysis for gas turbine engines including split-flow capability for turbofans (1983)

Habashi, W. G. ; Youngson, G. G.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 3 (1983), S. 1-21

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ISSN: 0271-2091

Schlagwort(e): Turbomachines ; Finite Elements ; Transonic Flows ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: A numerical approximation is taken to the solution of the complex flows existing in gas turbine engines with transonic blading. The quasi-3D approach decouples the problem into through-flow and blade-to-blade solutions. An industrially practical finite element through-flow solution is developed and for blade-to-blade solutions a transonic finite areas method is utilized. The finite element code developed is capable of operating in an analysis or a design mode. In both modes a dynamic relaxation factor is employed and considerable reduction in solution time can be achieved. Comparisons to streamline curvature methods are carried out for simple analytical and complex industrial problems.

Zusätzliches Material: 21 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650030103

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