SPECTRAL METHODS FOR THE EULER EQUATIONS .1. FOURIER METHODS AND SHOCK CAPTURING

被引：26

作者：

HUSSAINI, MY

KOPRIVA, DA

SALAS, MD

ZANG, TA

机构：

[1] NASA, Langley Research Cent,, Hampton, VA, USA, NASA, Langley Research Cent, Hampton, VA, USA

来源：

AIAA JOURNAL | 1985年 / 23卷 / 01期

关键词：

FLOW OF FLUIDS - Nozzles - MATHEMATICAL TECHNIQUES - Finite Difference Method - MATHEMATICAL TRANSFORMATIONS - Fast Fourier Transforms - SHOCK TUBES;

D O I：

10.2514/3.8872

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

Spectral methods for compressible flows are introduced in relation to finite difference and finite element techniques within the framework of the method of weighted residuals. Current spectral collocation methods are put into historical context. The basic concepts of Fourier spectral collocation methods are provided. Filtering strategies for shock-capturing approaches are also presented. Fourier shock-capturing techniques are evaluated using a one-dimensional, periodic astrophysical nozzle problem.

引用

页码：64 / 70

页数：7

共 29 条

[1]

[Anonymous], 1998, DIGITAL FILTERS

[2]

Barta J., 1937, Z ANGEW MATH MECH, V17, P184, DOI DOI 10.1002/ZAMM.19370170308

[3]

Clenshaw C.W., 1957, MATH PROC CAMBRIDGE, V53, P134, DOI DOI 10.1017/S0305004100032072

[4] SOLUTION OF NONLINEAR ORDINARY DIFFERENTIAL-EQUATIONS IN TSCHEBYSCHEFF SERIES [J].

CLENSHAW, CW ;

NORTON, HJ .

COMPUTER JOURNAL, 1963, 6 (01) :88-&

[5] A PSEUDOSPECTRAL SCHEME FOR THE NUMERICAL-CALCULATION OF SHOCKS [J].

CORNILLE, P .

JOURNAL OF COMPUTATIONAL PHYSICS, 1982, 47 (01) :146-159

[6]

Finlayson BA, 1966, APPL MECH REV, V19, P735

[7]

FRAZER RA, 1937, RM1799 AER RES COUNC

[8] SPECTRAL CALCULATIONS OF ONE-DIMENSIONAL INVISCID COMPRESSIBLE FLOWS [J].

GOTTLIEB, D ;

LUSTMAN, L ;

ORSZAG, SA .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1981, 2 (03) :296-310

[9]

Gottlieb D, 1977, CBMS NSF REGIONAL C

[10]

HUSSAINI MY, UNPUB AIAA J

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