期刊
ADVANCES IN WATER RESOURCES
卷 51, 期 -, 页码 405-437出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.advwatres.2012.05.008
关键词
Adaptive methods; Problem solving environments; Multiscale methods; Integral methods; GPUs; Error estimation and control
资金
- Department of Energy [DE-SC0002163, DE-FG02-06ER25727]
- National Science Foundation [CDI-0941235, DMS 0915223, DMS-0908546, DMS-0811130, CDI-0941253]
- U.S. Army Corps of Engineers [W912HZ-11-P-0385]
- Coastal and Hydraulics Laboratory Internal Research Investment Program
- AFOSR MURI [FA9550-09-1-0613]
- ARO [W911NF-11-1-0367]
- Center of Excellence grant from the Research Council of Norway
- U.S. Department of Energy (DOE) [DE-FG02-06ER25727] Funding Source: U.S. Department of Energy (DOE)
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0811130] Funding Source: National Science Foundation
- Division Of Earth Sciences
- Directorate For Geosciences [0941235] Funding Source: National Science Foundation
- Division Of Earth Sciences
- Directorate For Geosciences [0941253] Funding Source: National Science Foundation
Mechanistic modeling of water resources systems is a broad field with abundant challenges. We consider classes of model formulations that are considered routine, the focus of current work, and the foundation of foreseeable work over the coming decade. These model formulations are used to assess the current and evolving state of solution algorithms, discretization methods, nonlinear and linear algebraic solution methods, computational environments, and hardware trends and implications. The goal of this work is to provide guidance to enable modelers of water resources systems to make sensible choices when developing solution methods based upon the current state of knowledge and to focus future collaborative work among water resources scientists, applied mathematicians, and computational scientists on productive areas. (C) 2012 Elsevier Ltd. All rights reserved.
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