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1 Poster Title: An efficient exact adjoint of the parallel MIT general
2 circulation model, generated via automatic differentiation
3
4 Authors: Patrick Heimbach(1), Chris Hill(1), Ralf Giering(2)
5 Institutions of authors (in author order): (1): Department of Earth,
6 Atmospheric and Planetary Sciences, Massachusetts Institute of
7 Technology, Cambridge, MA 02139, USA
8 (2): FastOpt, Martinistr. 21, 20251 Hamburg, Germany
9
10 Abstract: We describe computational aspects of automatic differentiation
11 applied to global ocean circulation modeling and state estimation.
12 The task of minimizing a cost function measuring the ocean simulation
13 vs. observation misfit is achieved through efficient calculation of
14 the cost gradient w.r.t. a set of controls via the adjoint technique.
15 The adjoint code of the parallel MIT general circulation
16 model is generated using TAMC or its successor TAF.
17 The adjoint can be generated for a variety of configurations, including
18 different mixing schemes such as KPP and GM, time-varying surface flux
19 or atmospheric state controls, and open boundary controls.
20 To achieve a tractable problem in both CPU and memory requirements, in
21 the light of control flow reversal, the adjoint code relies heavily on
22 the balancing of storing vs. recomputation via the checkpointing method.
23 Further savings are achieved by exploiting self-adjointedness of part
24 of the computation. To retain scalability of domain decomposition
25 based parallelism, hand-written adjoint routines are provided.
26 These complement routines of the parallel support package
27 to perform corresponding operations in reverse mode.
28 A unique feature of the TAF tool which enables to dump the adjoint
29 state and restart the adjoint integration is exploited to overcome
30 batch execution limitations on HPC machines for large-scale ocean and
31 climate simulations.
32 The size of a typical adjoint application is illustrated for the global
33 ocean state estimation problem. Results for a sensitivity study and an
34 estimation problem are given by way of example.
35

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