Building the Tangent and Adjoint codes of the Ocean General Circulation Model OPA with the Automatic Differentiation tool TAPENADE

Moulay Hicham Tber; Laurent Hascoet; Arthur Vidard; Benjamin Dauvergne

inria-00192415, version 2

Building the Tangent and Adjoint codes of the Ocean General Circulation Model OPA with the Automatic Differentiation tool TAPENADE

Moulay Hicham Tber ( Author to contact preferably ) ¹, Laurent Hascoet () ^1, 2, Arthur Vidard () ³, Benjamin Dauvergne () ¹

N° RR-6372 (2007)

Abstract: The ocean general circulation model OPA is developed by the LODYC team at Paris VI university. OPA has recently undergone a major rewriting, migrating to FORTRAN95, and its adjoint code needs to be rebuilt. For earlier versions, the adjoint of OPA was written by hand at a high development cost. We use the Automatic Differentiation tool TAPENADE to build mechanicaly the tangent and adjoint codes of OPA. We validate the differentiated codes by comparison with divided differences, and also with an identical twin experiment. We apply state-of-the-art methods to improve the performance of the adjoint code. In particular we implement the Griewank and Walther's binomial checkpointing algorithm which gives us an optimal trade-off between time and memory consumption. We apply a specific strategy to differentiate the iterative linear solver that comes from the implicit time stepping scheme

1: TROPICS (INRIA Sophia Antipolis)
INRIA
2: Société d'Economie et de Mathématiques Appliquées (SEMA)
SEMA Group
3: MOISE (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
CNRS : UMR5224 – INRIA – Laboratoire Jean Kuntzmann – Université Joseph Fourier - Grenoble I – Institut Polytechnique de Grenoble - Grenoble Institute of Technology

inria-00192415, version 2
http://hal.inria.fr/inria-00192415
oai:hal.inria.fr:inria-00192415
From: Rapport De Recherche Inria <>
Submitted on: Thursday, 29 November 2007 10:05:44
Updated on: Thursday, 16 October 2008 16:31:48

See detailed view

Associated documents

PS :

PDF :

arXiv: 0711.4444

Export

Bibtex EndNote TEI RefWorks

<?xml version="1.0" encoding="UTF-8"?>
<listBibl xmlns="http://www.tei-c.org/ns/1.0" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<listBibl type="report"><head>Research reports</head>
<biblStruct type="report" xml:id="inria-00192415"><monogr>
<author><persName><forename>Moulay Hicham</forename><surname>Tber</surname></persName>
<affiliation>
<orgName type="laboratory">INRIA Sophia Antipolis</orgName>
<orgName type="team">TROPICS</orgName>
<country>FR</country>
<orgName type="institution">INRIA</orgName>
</affiliation>
</author>
<author><persName><forename>Laurent</forename><surname>Hascoet</surname></persName>
<affiliation>
<orgName type="laboratory">INRIA Sophia Antipolis</orgName>
<orgName type="team">TROPICS</orgName>
<country>FR</country>
<orgName type="institution">INRIA</orgName>
</affiliation>
<affiliation>
<orgName type="laboratory">SEMA</orgName>
<orgName type="team">Société d'Economie et de Mathématiques Appliquées</orgName>
<country>FR</country>
<orgName type="institution">SEMA Group</orgName>
</affiliation>
</author>
<author><persName><forename>Arthur</forename><surname>Vidard</surname></persName>
<affiliation>
<orgName type="laboratory">INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann</orgName>
<orgName type="team">MOISE</orgName>
<country>FR</country>
<orgName type="institution">CNRS : UMR5224</orgName>
<orgName type="institution">INRIA</orgName>
<orgName type="institution">Laboratoire Jean Kuntzmann</orgName>
<orgName type="institution">Université Joseph Fourier - Grenoble I</orgName>
<orgName type="institution">Institut Polytechnique de Grenoble - Grenoble Institute of Technology</orgName>
</affiliation>
</author>
<author><persName><forename>Benjamin</forename><surname>Dauvergne</surname></persName>
<affiliation>
<orgName type="laboratory">INRIA Sophia Antipolis</orgName>
<orgName type="team">TROPICS</orgName>
<country>FR</country>
<orgName type="institution">INRIA</orgName>
</affiliation>
</author>
<title type="main" level="m">Building the Tangent and Adjoint codes of the Ocean General Circulation Model OPA with the Automatic Differentiation tool TAPENADE</title><title type="main" level="m">Building the Tangent and Adjoint codes of the Ocean General Circulation Model OPA with the Automatic Differentiation tool TAPENADE</title><imprint><biblScope type="publicationDate">2007-00-00</biblScope><biblScope type="pp">28</biblScope></imprint></monogr><idno type="HALid">http://hal.inria.fr/inria-00192415</idno><idno type="HALFile">http://hal.inria.fr/inria-00192415/PDF/RR-6372.pdf</idno></biblStruct>
</listBibl>
</listBibl>