A conservative model for unsteady flows in deformable closed pipes and its implicit second-order finite volume discretisation
✍ Scribed by C. Bourdarias; S. Gerbi
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 380 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0045-7930
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✦ Synopsis
We present a one-dimensional model for compressible flows in a deformable pipe which is an alternative to the Allievi equations and is intended to be coupled in a ''natural way" with the shallow water equations to simulate mixed flows. The numerical simulation is performed using a second-order linearly implicit scheme adapted from the Roe scheme. The validation is performed in the case of water hammer in a rigid pipe: we compare the numerical results provided by an industrial code with those of our spatial second-order implicit scheme. It appears that the maximum value of the pressure within the pipe for large CFL numbers and a coarse discretisation is accurately computed.