High-order scheme for the source-sink term in a one-dimensional water temperature model.

The source-sink term in water temperature models represents the net heat absorbed or released by a water system. This term is very important because it accounts for solar radiation that can significantly affect water temperature, especially in lakes. However, existing numerical methods for discretiz...

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Main Authors: Zheng Jing, Ling Kang
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2017-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC5338824?pdf=render
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spelling doaj-fa4818d3dbbc421c9a8e3be3d2e821a62020-11-25T00:08:36ZengPublic Library of Science (PLoS)PLoS ONE1932-62032017-01-01123e017323610.1371/journal.pone.0173236High-order scheme for the source-sink term in a one-dimensional water temperature model.Zheng JingLing KangThe source-sink term in water temperature models represents the net heat absorbed or released by a water system. This term is very important because it accounts for solar radiation that can significantly affect water temperature, especially in lakes. However, existing numerical methods for discretizing the source-sink term are very simplistic, causing significant deviations between simulation results and measured data. To address this problem, we present a numerical method specific to the source-sink term. A vertical one-dimensional heat conduction equation was chosen to describe water temperature changes. A two-step operator-splitting method was adopted as the numerical solution. In the first step, using the undetermined coefficient method, a high-order scheme was adopted for discretizing the source-sink term. In the second step, the diffusion term was discretized using the Crank-Nicolson scheme. The effectiveness and capability of the numerical method was assessed by performing numerical tests. Then, the proposed numerical method was applied to a simulation of Guozheng Lake (located in central China). The modeling results were in an excellent agreement with measured data.http://europepmc.org/articles/PMC5338824?pdf=render
collection DOAJ
language English
format Article
sources DOAJ
author Zheng Jing
Ling Kang
spellingShingle Zheng Jing
Ling Kang
High-order scheme for the source-sink term in a one-dimensional water temperature model.
PLoS ONE
author_facet Zheng Jing
Ling Kang
author_sort Zheng Jing
title High-order scheme for the source-sink term in a one-dimensional water temperature model.
title_short High-order scheme for the source-sink term in a one-dimensional water temperature model.
title_full High-order scheme for the source-sink term in a one-dimensional water temperature model.
title_fullStr High-order scheme for the source-sink term in a one-dimensional water temperature model.
title_full_unstemmed High-order scheme for the source-sink term in a one-dimensional water temperature model.
title_sort high-order scheme for the source-sink term in a one-dimensional water temperature model.
publisher Public Library of Science (PLoS)
series PLoS ONE
issn 1932-6203
publishDate 2017-01-01
description The source-sink term in water temperature models represents the net heat absorbed or released by a water system. This term is very important because it accounts for solar radiation that can significantly affect water temperature, especially in lakes. However, existing numerical methods for discretizing the source-sink term are very simplistic, causing significant deviations between simulation results and measured data. To address this problem, we present a numerical method specific to the source-sink term. A vertical one-dimensional heat conduction equation was chosen to describe water temperature changes. A two-step operator-splitting method was adopted as the numerical solution. In the first step, using the undetermined coefficient method, a high-order scheme was adopted for discretizing the source-sink term. In the second step, the diffusion term was discretized using the Crank-Nicolson scheme. The effectiveness and capability of the numerical method was assessed by performing numerical tests. Then, the proposed numerical method was applied to a simulation of Guozheng Lake (located in central China). The modeling results were in an excellent agreement with measured data.
url http://europepmc.org/articles/PMC5338824?pdf=render
work_keys_str_mv AT zhengjing highorderschemeforthesourcesinkterminaonedimensionalwatertemperaturemodel
AT lingkang highorderschemeforthesourcesinkterminaonedimensionalwatertemperaturemodel
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