The Unified Coordinates Formulation of CFD
Wai-How Hui () and
Kun Xu ()
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Wai-How Hui: Hong Kong University of Science and Technology, Mathematics Department
Kun Xu: Hong Kong University of Science and Technology, Mathematics Department
Chapter Chapter 6 in Computational Fluid Dynamics Based on the Unified Coordinates, 2012, pp 79-85 from Springer
Abstract:
Abstract We introduce arbitrary coordinates (λ, ξ, η, ζ) via a transformation from Cartesian (t, x, y, z) as follows: (6.10 $$ \left\{ \begin{gathered} dt = d\lambda , \hfill \\ dx = Ud\lambda + Ad\xi + Ld\eta + Pd\varsigma , \hfill \\ dy = Vd\lambda + Bd\xi + Md\eta + Qd\varsigma , \hfill \\ dz = Wd\lambda + Cd\xi + Nd\eta + Rd\zeta . \hfill \\ \end{gathered} \right. $$
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-25896-1_6
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DOI: 10.1007/978-3-642-25896-1_6
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