Treating network junctions in finite volume solution of transient gas flow models
| Autor: | Alfredo Bermúdez, M. Elena Vázquez-Cendón, Xián López |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Numerical Analysis
Mathematical optimization Real gas Finite volume method Physics and Astronomy (miscellaneous) Discretization Applied Mathematics 010103 numerical & computational mathematics Mechanics 01 natural sciences Compressible flow Computer Science Applications Euler equations 010101 applied mathematics Computational Mathematics symbols.namesake Flow (mathematics) Modeling and Simulation Heat transfer symbols Transient (oscillation) 0101 mathematics Mathematics |
| Zdroj: | Journal of Computational Physics. 344:187-209 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/j.jcp.2017.04.066 |
| Popis: | A finite volume scheme for the numerical solution of a non-isothermal non-adiabatic compressible flow model for gas transportation networks on non-flat topography is introduced. Unlike standard Euler equations, the model takes into account wall friction, variable height and heat transfer between the pipe and the environment which are source terms. The case of one single pipe was considered in a previous reference by the authors, [8] , where a finite volume method with upwind discretization of the flux and source terms has been proposed in order to get a well-balanced scheme. The main goal of the present paper is to go a step further by considering a network of pipes. The main issue is the treatment of junctions for which container-like 2D finite volumes are introduced. The couplings between pipes (1D) and containers (2D) are carefully described and the conservation properties are analyzed. Numerical tests including real gas networks are solved showing the performance of the proposed methodology. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect