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A weak formulation of Roe's approximate Riemann solver applied to ‘barotropic’ flows

✍ Scribed by P. Glaister


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
225 KB
Volume
27
Category
Article
ISSN
0898-1221

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✦ Synopsis


weak formulation of Roe's approximate Riemann solver is applied to the equations of 'barotropic' flow, including the shallow water equations, and it is shown that this leads to an approximate Riemann solver recently presented for such flows.


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A comparison of the different extensions
✍ P. Glaister 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 499 KB

A weak formulation of the Roe linearised Riemann solver proposed recently is examined in the context of the equations governing steady, supercritical flows. Two possible alternatives present themselves, and it is shown that these are equivalent and, moreover, are equivalent to existing schemes.