摘要:

AbstractThe aim of this work is to study the propagation of a curved premixed flame in an infinite two‐dimensional tube. The numerical method combines some features of the finite‐element and of the finite‐difference methods, and uses a moving adaptive grid procedure in order to reduce the computational

ISSN:0271-2091    

DOI:10.1002/fld.1650071102

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

摘要:

AbstractFundamental concepts underlying spectral collocation methods, especially pertaining to their use in the solution of partial differential equations, are outlined. Theoretical accuracy results are reviewed and compared with results from test problems. A number of practical aspects of the construction and use of spectral methods are detailed, along with several solution schemes which have found utility in applications of spectral methods to practical problems. Results from a few of the successful applications of spectral methods to problems of aerodynamic and fluid mechanic interest are then outlined, followed by a discussion of the problem areas in spectral methods and the current research under way to overcome these difficulties.

ISSN:0271-2091    

DOI:10.1002/fld.1650071103

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

摘要:

AbstractIn this paper we study the validation of the new formulation (potential‐stream vector) of the steady Euler equations in 2‐D/3‐D transonic lifting regime flow. This approach, which is based on the Helmholtz decomposition of a velocity vector field, is designed to extend the potential approximation of Euler equations for severe situations such as high transonic or rotational subsonic flows. Different results computed by a fixed point algorithm on the stream vector correction are shown and discussed by comparing them with those obtained by the full potential app

ISSN:0271-2091    

DOI:10.1002/fld.1650071104

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

摘要:

AbstractWe describe an adaptive finite element algorithm for solving the unsteady Euler equations. The finite element algorithm is based on a Taylor/Galerkin formulation and uses a very fast and efficient data structure to refine and unrefine the grid in order to optimize the approximation. We give a general version of the method which can be applied to moving grids with sliding interfaces and we present the results for a transient supersonic calculation of rotor‐stator interactio

ISSN:0271-2091    

DOI:10.1002/fld.1650071105

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

摘要:

AbstractWe present some integral methods for exterior problems for the Laplace equation. Then we give finite element approximations for these equations and some errors estimates. Finally, we indicate how these integral equations can be coupled with a usual finite element method on a bounded domain to solve an exterior non‐linear problem which is linear far awa

ISSN:0271-2091    

DOI:10.1002/fld.1650071106

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

摘要:

AbstractThis paper develops and analyses individual construction aspects of an efficient and accurate finite element algorithm for prediction of viscous and turbulent flow fields of impact in aerodynamics. The theoretical construction employs a Taylor weak statement (TWS) for coincident embedding of stability mechanisms within a classic Galerkin finite element formulation of semi‐discrete approximation error orthogonalization. A wide variety of the stabilizing mechanisms of independently derived CFD algorithms are contained within the TWS theory. An implicit construction that meets the requirement of efficient convergence to steady state is developed. The theoretical asymptotic error estimates of the TWS finite element algorithm for supersonic and viscous boundary layer flows are verified. Application to a three‐dimensional turbulent flow is ci

ISSN:0271-2091    

DOI:10.1002/fld.1650071107

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

摘要:

AbstractSUPG methods were originally developed for the scalar advection‐diffusion equation and the incompressible Navier‐Stokes equations. In the last few years successful extensions have been made to symmetric advective‐diffusive systems and, in particular, the compressible Euler and Navier‐Stokes equations. New procedures have been introduced to improve resolution of discontinuities and thin layers. In this paper a brief overview is presented of recent progress in the development and understanding of SUPG

ISSN:0271-2091    

DOI:10.1002/fld.1650071108

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

摘要:

AbstractThis paper is an expanded version of that delivered at the recent Sixth International Symposium on Finite Element Methods in Flow Problems, Antibes, France. It begins by reviewing the role of the finite element method (FEM) in turbulent flow simulation during recent years. The difficulties in incorporating sufficiently general descriptions of turbulence (i.e. two‐equation models) into successful finite‐element‐based Navier‐Stokes codes are examined and analysed in some depth. Current progress by various workers in overcoming these difficulties is reviewed and, by concentrating on one particular approach, it is demonstrated that the FEM has now matured into a powerful and flexible tool for solving two‐dimensional turbulent flows of industrial complexity. The applications presented highlight those features which render the FEM attractive in this field (viz., minimal false diffusion, arbitrary local refinement, boundary fitting capabilities and non‐structured grids). Finally, the prospects and challenges for the future are briefly discussed. In particular, the urgency and difficulty of constructing a competitive three‐dimensional capability which preserves these feature

ISSN:0271-2091    

DOI:10.1002/fld.1650071109

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650071110

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650071101

出版商:John Wiley&Sons, Ltd    

年代:1987

数据来源: WILEY