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    Analysis of Numerical Error in One-Dimensional Storage Tank Models for Solar Energy System Simulations

    Source: Journal of Solar Energy Engineering:;2018:;volume( 140 ):;issue: 005::page 51004
    Author:
    Unrau, C. M.
    ,
    Lightstone, M. F.
    DOI: 10.1115/1.4039985
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This study investigates the temperature profiles predicted by trnsys one-dimensional (1D) thermal storage tank models for typical charging conditions. Simulation parameters, such as grid spacing and time-step size, were varied to observe the changes in the numerical error when compared with an exact analytical solution. A Taylor series expansion was also performed on the discretized, 1D, advection–diffusion equation to obtain an expression for this numerical error. A numerical diffusion term was found which could be used to improve the prediction of the temperature profile in a storage tank simulation. Finally, the influence of this error on predictions of the annual solar fraction for a domestic hot water system was explored.
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      Analysis of Numerical Error in One-Dimensional Storage Tank Models for Solar Energy System Simulations

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    https://yetl.yabesh.ir/yetl1/handle/yetl/4252949
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    contributor authorUnrau, C. M.
    contributor authorLightstone, M. F.
    date accessioned2019-02-28T11:07:32Z
    date available2019-02-28T11:07:32Z
    date copyright5/7/2018 12:00:00 AM
    date issued2018
    identifier issn0199-6231
    identifier othersol_140_05_051004.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4252949
    description abstractThis study investigates the temperature profiles predicted by trnsys one-dimensional (1D) thermal storage tank models for typical charging conditions. Simulation parameters, such as grid spacing and time-step size, were varied to observe the changes in the numerical error when compared with an exact analytical solution. A Taylor series expansion was also performed on the discretized, 1D, advection–diffusion equation to obtain an expression for this numerical error. A numerical diffusion term was found which could be used to improve the prediction of the temperature profile in a storage tank simulation. Finally, the influence of this error on predictions of the annual solar fraction for a domestic hot water system was explored.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalysis of Numerical Error in One-Dimensional Storage Tank Models for Solar Energy System Simulations
    typeJournal Paper
    journal volume140
    journal issue5
    journal titleJournal of Solar Energy Engineering
    identifier doi10.1115/1.4039985
    journal fristpage51004
    journal lastpage051004-11
    treeJournal of Solar Energy Engineering:;2018:;volume( 140 ):;issue: 005
    contenttypeFulltext
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