摘要:

AbstractUnstructured tetrahedral grids are generated using a new, very efficient procedure based upon the Delaunay triangulation. The generation procedure is extremely fast, having the capability to generate large grids in minutes on workstations. To maximize this computational performance, a new form of adaptivity has been developed involving the use of sources placed within regions of the domain which require further grid point resolution. A source has a position and a specified grid point density. An error indicator is used to find the elements within the grid which require refinement. Within such elements sources are placed with specified grid point densities which are proportional to the amount of refinement required. The grid generation procedure is then invoked and a grid generated whose grid point density is controlled by the sources. The resulting grid is thus refined in the regions identified by the error indicator as requiring greater resolution. The paper discusses the generation process and emphasizes the new solution adaptation capability. Several examples of the approach are given, including aerospace compressible flow simulations over realistic configurations.

ISSN:0271-2091    

DOI:10.1002/fld.1650190902

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractThe present work is a discussion of the computation of unsteady laminar incompressible two‐dimensional viscous flow past complex geometries. A new physically consistent method is presented for the reconstruction of velocity fluxes which arise from the mass and momentum balance discrete equations. This closure method for fluxes makes possible the use of a cell‐centred grid in which velocity and pressure unknowns share the same location while circumventing the occurrence of spurious pressure modes. The method is validated using the impulsively started cylinder problem for circular or aerofoil‐like shapes at several Reynolds numbers of the order of 10

ISSN:0271-2091    

DOI:10.1002/fld.1650190903

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractAn innovative idea for the solution of viscous incompressible flows, in which the equation for conservation of mass is satisfied at the element level, is termed the solenoidal finite element approach. The term ‘solenoidal’ derives from the fact that the velocity components need to be solenoidal, i.e. to have zero divergence. The difficulty with this idea centres on the construction of a specialized element in which the velocity components are constrained to be solenoidal by the nature of their interpolation functions. If such an element can be constructed, then the pressure is suppressed from the prime solution. This has obvious attractions, although recourse to another novel idea is needed for its eventual retrieval. The validity of these ideas is demonstrated herein by the results for some classical benchmark problems. Where possible, comparisons are made with other results, both from other codes and from the literat

ISSN:0271-2091    

DOI:10.1002/fld.1650190904

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractAn algorithm based on the convection of fundamental flow quantities, i.e. mass, momentum and energy, has been described by the author previously.1Computer codes to implement the algorithm have been developed for two‐dimensional and axisymmetric flows. This algorithm has been further developed to improve the accuracy and stability of the calculations. In this paper the algorithm is used to calculate the flows about two‐dimensional and axisymmetric bluff bodies. Bodies of practical interest in supersonic and hypersonic flows are often sufficiently bluff for a detached shock to develop, and correct prediction of the shock stand‐off distance and the position of the sonic line is a useful test of numerical methods.The programme is used to calculate flows with a detached shock around three standard shapes: a sphere, a body of revolution with a flat nose and a plate with a flat nose. The Mach number range for the flows described is from 1.177 to 6.0. Comparisons are given with standard experimental results for the steady state stan

ISSN:0271-2091    

DOI:10.1002/fld.1650190905

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractThe Galerkin finite element method is used as the basis for the construction of schemes for the solution of the two‐dimensional compressible Euler equations on unstructured triangular grids. The use of a side‐based data structure readily allows for the construction of a local (structured) stencil and the incorporation of a high‐resolution shock‐capturing method formulated within the TVD concept. The essential features of the finite element side‐based scheme and the ID TVD approach are described and their numerical implementation is discussed. The choice of limiters and the support for their computation are analysed and the solutions of some inviscid flows, obtained by advancing explicitly in time, are

ISSN:0271-2091    

DOI:10.1002/fld.1650190906

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractThe solution of problems involving the scattering of plane electromagnetic waves by perfectly conducting obstacles is considered. The governing equations are Maxwell's equations, which are expressed in a conservation form. The solution is then obtained by modifying a technique which was applied originally to the solution of the compressible Euler equations on a mesh consisting of an unstructured assembly of linear triangular elements in 3D. The computed solution can be used to determine the radar cross‐section of the scattere

ISSN:0271-2091    

DOI:10.1002/fld.1650190907

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650190908

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650190909

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650190910

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY