Multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs
We present an extrapolation-based semi-implicit multirate time stepping (MRT) scheme and a compound-fast MRT scheme for a naturally partitioned, multi-time-scale hydro-geomechanical hydrate reservoir model. We evaluate the performance of the two MRT methods compared to an iteratively coupled solutio...
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ftdatacite:10.48550/arxiv.1511.00466 2023-05-15T17:11:59+02:00 Multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs Gupta, Shubhangi Wohlmuth, Barbara I. Helmig, Rainer 2015 https://dx.doi.org/10.48550/arxiv.1511.00466 https://arxiv.org/abs/1511.00466 unknown arXiv https://dx.doi.org/10.1016/j.advwatres.2016.02.013 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Numerical Analysis math.NA FOS Mathematics article-journal Article ScholarlyArticle Text 2015 ftdatacite https://doi.org/10.48550/arxiv.1511.00466 https://doi.org/10.1016/j.advwatres.2016.02.013 2022-04-01T11:53:34Z We present an extrapolation-based semi-implicit multirate time stepping (MRT) scheme and a compound-fast MRT scheme for a naturally partitioned, multi-time-scale hydro-geomechanical hydrate reservoir model. We evaluate the performance of the two MRT methods compared to an iteratively coupled solution scheme and discuss their advantages and disadvantages. The performance of the two MRT methods is evaluated in terms of speed-up and accuracy by comparison to an iteratively coupled solution scheme. We observe that the extrapolation-based semi-implicit method gives a higher speed-up but is strongly dependent on the relative time scales of the latent (slow) and active (fast) components. On the other hand, the compound-fast method is more robust and less sensitive to the relative time scales, but gives lower speed up as compared to the semi-implicit method, especially when the relative time scales of the active and latent components are comparable. : Advances in Water Resources Text Methane hydrate DataCite Metadata Store (German National Library of Science and Technology) |
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Numerical Analysis math.NA FOS Mathematics |
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Numerical Analysis math.NA FOS Mathematics Gupta, Shubhangi Wohlmuth, Barbara I. Helmig, Rainer Multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs |
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Numerical Analysis math.NA FOS Mathematics |
description |
We present an extrapolation-based semi-implicit multirate time stepping (MRT) scheme and a compound-fast MRT scheme for a naturally partitioned, multi-time-scale hydro-geomechanical hydrate reservoir model. We evaluate the performance of the two MRT methods compared to an iteratively coupled solution scheme and discuss their advantages and disadvantages. The performance of the two MRT methods is evaluated in terms of speed-up and accuracy by comparison to an iteratively coupled solution scheme. We observe that the extrapolation-based semi-implicit method gives a higher speed-up but is strongly dependent on the relative time scales of the latent (slow) and active (fast) components. On the other hand, the compound-fast method is more robust and less sensitive to the relative time scales, but gives lower speed up as compared to the semi-implicit method, especially when the relative time scales of the active and latent components are comparable. : Advances in Water Resources |
format |
Text |
author |
Gupta, Shubhangi Wohlmuth, Barbara I. Helmig, Rainer |
author_facet |
Gupta, Shubhangi Wohlmuth, Barbara I. Helmig, Rainer |
author_sort |
Gupta, Shubhangi |
title |
Multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs |
title_short |
Multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs |
title_full |
Multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs |
title_fullStr |
Multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs |
title_full_unstemmed |
Multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs |
title_sort |
multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs |
publisher |
arXiv |
publishDate |
2015 |
url |
https://dx.doi.org/10.48550/arxiv.1511.00466 https://arxiv.org/abs/1511.00466 |
genre |
Methane hydrate |
genre_facet |
Methane hydrate |
op_relation |
https://dx.doi.org/10.1016/j.advwatres.2016.02.013 |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1511.00466 https://doi.org/10.1016/j.advwatres.2016.02.013 |
_version_ |
1766068747223695360 |