Coherence of coupling Riemann solvers for gas flows through flux-maximizing valves
| Autor: | Massimiliano D. Rosini, Andrea Corli |
|---|---|
| Přispěvatelé: | Università degli Studi di Ferrara (UniFE), Dipartimento di Matematica e Informatica = Department of Mathematics and Computer Science [Ferrara] (DMCS), Rosini, Massimiliano Daniele, Department of Mathematics and Computer Science |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Coupling conditions
Gas flow Riemann problem Systems of conservation laws Valve Isothermal process NO Physics::Fluid Dynamics symbols.namesake systems of conservation laws 35L67 Initial value problem [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP] Physics Coupling Applied Mathematics gas flow Mechanics Euler equations Riemann hypothesis Flow (mathematics) 76B75 symbols coupling conditions 2010 AMS subject classification: 35L65 valve Coherence (physics) |
| Popis: | In this paper we propose a model, based on the strictly hyperbolic system of isothermal Euler equations , for the gas flow in a straight pipe with a valve. We are then faced with an initial value problem with coupling conditions at the valve position. The valves under consideration are requested to maximize the flux; moreover, the flow is imposed to occur within prescribed bounds of pressure and flow. The issue is the mathematical characterization of the coherence of the corresponding coupling Riemann solvers; this property is related to the phenomenon of chattering, the rapid switch on and off of the valve. Within this framework we describe three kinds of valves, which differ for their action; two of them lead to a coherent solver, the third one does not. Proofs involve geometric and analytic properties of the Lax curves. |
| Databáze: | OpenAIRE |
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