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A new, high-resolution shock-capturing hybrid scheme of flux vector splitting-Harten's TVD (1990)

Baoguo, Wang ; Naixing, Chen

Springer

Acta mechanica Sinica 6 (1990), S. 204-213

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ISSN: 1614-3116

Schlagwort(e): transonic flow ; TVD ; flux-vector splitting ; difference scheme

Quelle: Springer Online Journal Archives 1860-2000

Thema: Maschinenbau , Physik

Notizen: Abstract The paper presents a new high-resolution hybrid scheme combining implicit flux vector splitting with Harten's TVD, which is proved suitable for shock-capturing calculation in gasdynamics. Fluxsplitting procedures are applied to discretize the implicit part of the Euler equations whereas Harten's numerical fluxes are used to calculate the residual of steady-state solutions. It ensures good shock-capturing properties and produces sharp numerical discontinuities without oscillations. It excludes expansion shocks and leads only to physically relevant solutions. The block-line-Gauss-Seidel relaxation procedure (block-LGS) is used to solve the resulting difference equations. The time step and the CFL number are much larger than those in the linearized block-alternating-direction-implicit approximate factorization method (block-ADI). Numerical experiments suggest that the hybrid scheme not only has a fairly rapid convergence rate, but also can generate a highly resolved approximation to the steady-state solution. Hence scheme seems to lead to an effective nonoscillatory shock capturing method for steady transonic flow.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02487641

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Digitale Medien

A new method for solving aerodynamic hybrid problem of profile cascade on S1 stream surface of revolution by employing stream-function equation expressed with non-orthogonal co-ordinate system (1986)

Naixing, Chen ; Weihong, Li

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 22 (1986), S. 465-479

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ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: A new method is developed in this paper for solving an aerodynamic hybrid problem of profile cascade on the S1 stream surface of revolution by employing a stream-function equation on the non-orthogonal co-ordinate system. For this kind of problem, the shape of a portion of the blade profile is unknown. The remainder is determined by a given prescribed velocity distribution. Three examples, including two turbine cascades and a compressor cascade, have been carried out to examine this method. It is shown that the calculation method presented herein can be used as a powerful tool, together with the aerodynamic optimization method, for blade cascade design.

Zusätzliches Material: 17 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620220212

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Digitale Medien

Numerical solution of 2D and 3D turbulent internal flow problems (1991)

Naixing, Chen ; Yanji, Xu

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 13 (1991), S. 425-436

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ISSN: 0271-2091

Schlagwort(e): Numerical computation ; Internal flow ; Turbulent flow ; Turbomachinery ; Axisymmetric diffuser ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: The paper describes a method for solving numerically two-dimensional or axisymmetric, and three-dimensional turbulent internal flow problems. The method is based on an implicit upwinding relaxation scheme with an arbitrarily shaped conservative control volume. The compressible Reynolds-averaged Navier-Stokes equations are solved with a two-equation turbulence model. All these equations are expressed by using a non-orthogonal curvilinear co-ordinate system. The method is applied to study the compressible internal flow in modern power installations. It has been observed that predictions for two-dimensional and three-dimensional channels show very good agreement with experimental results.

Zusätzliches Material: 16 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650130403

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