An adaptive model switching and discretization algorithm for gas flow on networks
Author(s) -
Pia Domschke,
Oliver Kolb,
Jens Lang
Publication year - 2010
Publication title -
procedia computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.334
H-Index - 76
ISSN - 1877-0509
DOI - 10.1016/j.procs.2010.04.148
Subject(s) - discretization , computer science , flow (mathematics) , estimator , euler equations , gas compressor , algebraic equation , compressor station , mathematical optimization , discretization error , algorithm , mathematics , mechanics , mechanical engineering , nonlinear system , mathematical analysis , physics , statistics , quantum mechanics , engineering
We are interested in the simulation and optimization of gas transport in networks. Those networks consist of pipes and various other components like compressor stations and valves. The gas flow through the pipes can be modelled by different equations based on the Euler equations. For the other components, purely algebraic equations are used. Depending on the data, different models for the gas flow can be used in different regions of the network. We use adjoint techniques to specify model and discretization error estimators and present a strategy that adaptively applies the different models while maintaining the accuracy of the solution
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