1-D Flow Computation Using the Unified Coordinates

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 4 in Computational Fluid Dynamics Based on the Unified Coordinates, 2012, pp 43-68 from Springer

Abstract: Abstract The gas dynamics equations in Eulerian coordinates (t, x) are written in conservation PDE form as (4.1) $$ \frac{\partial } {{\partial t}}\left( \begin{gathered} \rho \hfill \\ \rho u \hfill \\ \rho e \hfill \\ \end{gathered} \right) + \frac{\partial } {{\partial x}}\left( \begin{gathered} \rho u \hfill \\ \rho u^2 + p \hfill \\ u\left( {\rho e + p} \right) \hfill \\ \end{gathered} \right) = 0, $$ where $$ e = \frac{1} {2}u^2 + \frac{1} {{\gamma - 1\rho }}\frac{p} {\rho }. $$

Keywords: Riemann Problem; Cell Interface; Riemann Solution; Godunov Scheme; Godunov Method (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-642-25896-1_4

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