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On the use of discrete adjoints in goal error estimation for shallow water equations
Author(s) -
Florian Rauser,
Jan Riehme,
Klaus Leppkes,
Peter Korn,
Uwe Naumann
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.2010.04.013
Subject(s) - computer science , solver , scalability , compiler , context (archaeology) , shallow water equations , fortran , computational science , parallel computing , cuda , mathematical optimization , algorithm , mathematics , programming language , mathematical analysis , paleontology , database , biology
Goal oriented dual weight error estimation has been used in context of computational fluid dynamics for several years. The adaptation of this method to geophysical models is the subject of this paper. A differentiation-enabled prototype of the NAG Fortran compiler is used to generate a discrete adjoint version of such a geophysical model and allows to compute the required goal sensitivities. Numerical results are presented for a shallow water configuration of the Icosahedral Non-hydrostatic General Circulation Model ( ICON). A special treatment of the underlying linear solver is discussed yielding improved scalability of this approach and a significant reduction in memory consumption and runtime. (C) 2010 Published by Elsevier Ltd

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