ISSN:0022-1686    

DOI:10.1080/00221688209499475

出版商:Taylor & Francis Group    

年代:1982

数据来源: Taylor

ISSN:0022-1686    

DOI:10.1080/00221688209499476

出版商:Taylor & Francis Group    

年代:1982

数据来源: Taylor

ISSN:0022-1686    

DOI:10.1080/00221688209499477

出版商:Taylor & Francis Group    

年代:1982

数据来源: Taylor

ISSN:0022-1686    

DOI:10.1080/00221688209499478

出版商:Taylor & Francis Group    

年代:1982

数据来源: Taylor

摘要:

Filter scheme methods are numerical convolution techniques for the solution of partial differential equations and are fundamentally different from finite-difference or finiteelement methods. The basic concept is that the output of any physical (linearized) system 'can be calculated from the input, if the response function is known for the system. The process becomes one of convoluting the unknown variable(s) over the space domain with a weighting function which is the Fourier transform of the response function. The method is studied for the simple one-dimensional advection problem. The raw Fourier coefficients are found analytically but require smooting by an appropriate taper function to produce a stable scheme for all wave numbers because of Gibb's effects near the Nyquist frequency. A constraining technique is also used near the very long wave scales to improve phase response of the filter. The method is shown to possess excellent numerical ability to accurately propagate very short waves associated with spiked or stepped funtions. Comparisons with various common finitedifference schemes, under conditions of equal computation effort, demonstrates the filter-scheme's superiority in this regard. The method can be extended to more general cases for which analytical solutions are not available.

ISSN:0022-1686    

DOI:10.1080/00221688209499479

出版商:Taylor & Francis Group    

年代:1982

数据来源: Taylor

ISSN:0022-1686    

DOI:10.1080/00221688209499480

出版商:Taylor & Francis Group    

年代:1982

数据来源: Taylor

摘要:

LES METHODES D'ELEMENTS FINIS EN MECANIQUE DES FLUIDESpar P.A. RAVIART Librairie Eyrolles, 61 bd. Saint Germain, 75240 Paris Cédex 05, 152 pages, 18 figures, broche 95 Ffr.

ISSN:0022-1686    

DOI:10.1080/00221688209499481

出版商:Taylor & Francis Group    

年代:1982

数据来源: Taylor

ISSN:0022-1686    

DOI:10.1080/00221688209499482

出版商:Taylor & Francis Group    

年代:1982

数据来源: Taylor

ISSN:0022-1686    

DOI:10.1080/00221688209499483

出版商:Taylor & Francis Group    

年代:1982

数据来源: Taylor

ISSN:0022-1686    

DOI:10.1080/00221688209499484

出版商:Taylor & Francis Group    

年代:1982

数据来源: Taylor