Imperial College London
Dr Matthew Eaton

DrMatthewEaton

Faculty of Engineering, Department of Mechanical Engineering

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Contact

 

+44 (0)20 7594 7053m.eaton

 
 
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Location

 

657City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Jeffers:2018:10.1080/23324309.2017.1420663,
author = {Jeffers, RS and Kophazi, J and Eaton, MD and Févotte, F and Hülsemann, F and Ragusa, J},
doi = {10.1080/23324309.2017.1420663},
journal = {Journal of Computational and Theoretical Transport},
pages = {427--458},
title = {Goal-Based Error Estimation, Functional Correction, h, p and hp Adaptivity of the 1-D Diamond Difference Discrete Ordinate Method},
url = {http://dx.doi.org/10.1080/23324309.2017.1420663},
volume = {46},
year = {2018}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - This paper uses local dual weighted residual (DWR) error indicators to flag cells for goal-based refinement in a 1-D diamond difference (DD) discretisation of the discrete ordinate (SN) neutron transport equations. Goal-orientated adaptive mesh refinement (GO-AMR) aims to produce a mesh that is optimal for a given goal or QoI (Quantity of Interest). h, p and hp refinement is implemented and applied to various test cases. A merit function is derived for the combined hp algorithm and is calculated for each refinement option within each flagged cell. The refinement option with the highest merit function is chosen for a given flagged cell. This paper also investigates the use of the DWR error estimation as a correction term for the originally calculated QoI. If error correction and GO-AMR are combined the DWR error indicators do not always give an optimal mesh for the corrected value of the QoI. Therefore, refinement indicators based on the error in the error correction term are used and tested in this work.
AU  - Jeffers,RS
AU  - Kophazi,J
AU  - Eaton,MD
AU  - Févotte,F
AU  - Hülsemann,F
AU  - Ragusa,J
DO  - 10.1080/23324309.2017.1420663
EP  - 458
PY  - 2018///
SN  - 2332-4309
SP  - 427
TI  - Goal-Based Error Estimation, Functional Correction, h, p and hp Adaptivity of the 1-D Diamond Difference Discrete Ordinate Method
T2  - Journal of Computational and Theoretical Transport
UR  - http://dx.doi.org/10.1080/23324309.2017.1420663
UR  - http://hdl.handle.net/10044/1/55578
VL  - 46
ER  -
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