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Adaptive differential quadrature element refinement analyses of fluid mechanics problems

✍ Scribed by Chang-New Chen


Book ID
104268192
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
232 KB
Volume
180
Category
Article
ISSN
0045-7825

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✦ Synopsis


The dierential quadrature element method (DQEM) has been proposed. The element weighting coecient matrices are generated by the dierential quadrature (DQ) or generic dierential quadrature (GDQ). By using the DQ or GDQ technique and the mapping procedure the governing dierential or partial dierential equations, the transition conditions of two adjacent elements and the boundary conditions can be discretized. The overall algebraic equation system can be obtained by assembling all of the discretized equations. This method can convert a generic engineering or scienti®c problem having an arbitrary domain con®guration into a computer algorithm. The DQEM analysis can be carried out by the adaptive re®nement procedure. The development of adaptive DQEM re®nement analysis procedure for ¯uid mechanics problems is carried out. Numerical results are presented.