Work

The Onsager–Machlup functional for data assimilation

Year: 2017

Type: article

Abstract: . When taking the model error into account in data assimilation, one needs to evaluate the prior distribution represented by the Onsager–Machlup functional. Through numerical experiments, this study clarifies how the prior distribution should be incorporated into cost functions for discrete-time estimation problems. Consistent with previous theoretical studies, the divergence of the drift term is essential in weak-constraint 4D-Var (w4D-Var), but it is not necessary in Markov chain Monte Carlo with the Euler scheme. Although the former property may cause difficulties when implementing w4D-Var in large systems, this paper proposes a new technique for estimating the divergence term and its derivative.

Source: Nonlinear processes in geophysics

DOI: 10.5194/npg-24-701-2017

Author: Nozomi Sugiura

Language: English

Topic: Meteorological Phenomena and Simulations

Subfield: Atmospheric Science

Field: Earth and Planetary Sciences

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,412

Funders: Ministry of Education, Culture, Sports, Science and Technology, Japan Society for the Promotion of Science, Japan Agency for Marine-Earth Science and Technology

Awards: G8714424352, G8966188038