Titlebook: Computational Fluid Dynamics Based on the Unified Coordinates; Wai-How Hui,Kun Xu Book 2012 Science Press, Beijing and Springer Berlin Hei

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Stochastic Analysis of Biochemical SystemsA system of unified coordinates (UC) has been introduced via transformation (6.1). It has three degrees of freedom — the mesh velocity — and unifies the traditional Eulerian and Lagrangian systems while including them as special cases. Based on (6.1), contributions are made to CFD as follows.

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1-D Flow Computation Using the Unified Coordinates,The gas dynamics equations in Eulerian coordinates (.) are written in conservation PDE form as.where

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The Unified Coordinates Formulation of CFD,We introduce arbitrary coordinates (λ, ξ, η, ζ) via a transformation from Cartesian (.) as follows:

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