Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14659
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Main Title: Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization
Author(s): Mehrmann, Volker
Schmidt, Martin
Stolwijk, Jeroen J.
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15886
http://dx.doi.org/10.14279/depositonce-14659
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: The minimization of operation costs for natural gas transport networks is studied. Based on a recently developed model hierarchy ranging from detailed models of instationary partial differential equations with temperature dependence to highly simplified algebraic equations, modeling and discretization error estimates are presented to control the overall error in an optimization method for stationary and isothermal gas flows. The error control is realized by switching to more detailed models or finer discretizations if necessary to guarantee that a prescribed model and discretization error tolerance is satisfied in the end. We prove convergence of the adaptively controlled optimization method and illustrate the new approach with numerical examples.
Subject(s): gas transport optimization
Isothermal stationary Euler equations
model hierarchy
adaptive error control
marking strategy
Issue Date: 7-Dec-2017
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 35Q35 Other equations arising in fluid mechanics
65G99 None of the above, but in this section
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2017, 11
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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