书目名称 | Implementation of Finite Element Methods for Navier-Stokes Equations | 编辑 | François Thomasset | 视频video | | 丛书名称 | Scientific Computation | 图书封面 |  | 描述 | In structure mechanics analysis, finite element methods are now well estab lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap proximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage require ment. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of bearns, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977». (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients,l of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently | 出版日期 | Book 1981 | 关键词 | Finite-Element-Methode; Navier-Stokes equation; Navier-Stokes equations; Navier-Stokessche Gleichung; St | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-87047-7 | isbn_softcover | 978-3-642-87049-1 | isbn_ebook | 978-3-642-87047-7Series ISSN 1434-8322 Series E-ISSN 2198-2589 | issn_series | 1434-8322 | copyright | Springer Science+Business Media New York 1981 |
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