A stable and accurate relaxation technique using multiple penalty terms in space and time

Hannes Frenander; Jan Nordström

doi:10.1016/j.dynatmoce.2017.07.003

A stable and accurate relaxation technique using multiple penalty terms in space and time

Hannes Frenander, Jan Nordström

Linköping University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A new method for data relaxation based on weak imposition of external data is introduced. The technique is simple, easy to implement, and the resulting numerical scheme is unconditionally stable. Numerical experiments show that the error growth naturally present in long term simulations can be prevented by using the new technique.

Original language	English
Pages (from-to)	56-65
Number of pages	10
Journal	Dynamics of Atmospheres and Oceans
Volume	79
DOIs	https://doi.org/10.1016/j.dynatmoce.2017.07.003
Publication status	Published - Sept 2017
Externally published	Yes

Keywords

Data assimilation
Data relaxation
Finite differences
Multiple penalties
Stability
Summation-by-parts
Weak boundary conditions

ASJC Scopus subject areas

Oceanography
Geology
Computers in Earth Sciences
Atmospheric Science

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10.1016/j.dynatmoce.2017.07.003

Cite this

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title = "A stable and accurate relaxation technique using multiple penalty terms in space and time",

abstract = "A new method for data relaxation based on weak imposition of external data is introduced. The technique is simple, easy to implement, and the resulting numerical scheme is unconditionally stable. Numerical experiments show that the error growth naturally present in long term simulations can be prevented by using the new technique.",

keywords = "Data assimilation, Data relaxation, Finite differences, Multiple penalties, Stability, Summation-by-parts, Weak boundary conditions",

author = "Hannes Frenander and Jan Nordstr{\"o}m",

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year = "2017",

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AU - Frenander, Hannes

AU - Nordström, Jan

PY - 2017/9

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AB - A new method for data relaxation based on weak imposition of external data is introduced. The technique is simple, easy to implement, and the resulting numerical scheme is unconditionally stable. Numerical experiments show that the error growth naturally present in long term simulations can be prevented by using the new technique.

KW - Data assimilation

KW - Data relaxation

KW - Finite differences

KW - Multiple penalties

KW - Stability

KW - Summation-by-parts

KW - Weak boundary conditions

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VL - 79

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EP - 65

JO - Dynamics of Atmospheres and Oceans

JF - Dynamics of Atmospheres and Oceans

ER -

A stable and accurate relaxation technique using multiple penalty terms in space and time

Abstract

Keywords

ASJC Scopus subject areas

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