التفاصيل البيبلوغرافية
| العنوان: |
The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state. |
| المؤلفون: |
Hantke, Maren, Matern, Christoph, Warnecke, Gerald, Yaghi, Hazem |
| المصدر: |
Quarterly of Applied Mathematics; Sep2024, Vol. 82 Issue 3, p451-466, 16p |
| مصطلحات موضوعية: |
EQUATIONS of state, RIEMANN-Hilbert problems, INITIAL value problems, PARTIAL differential equations, ISOTHERMAL flows |
| مستخلص: |
In this paper a hyperbolic system of partial differential equations for two-phase mixture flows with N components is studied. It is derived from a more complicated model involving diffusion and exchange terms. Important features of the model are the assumption of isothermal flow, the use of a phase field function to distinguish the phases and a mixture equation of state involving the phase field function as well as an affine relation between partial densities and partial pressures in the liquid phase. This complicates the analysis. A complete solution of the Riemann initial value problem is given. Some interesting examples are suggested as benchmarks for numerical schemes. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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