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.
Analysis of Numerical Error in One-Dimensional Storage Tank Models for Solar Energy System Simulations
Contributed by the Solar Energy Division of ASME for publication in the JOURNAL OF SOLAR ENERGY ENGINEERING: INCLUDING WIND ENERGY AND BUILDING ENERGY CONSERVATION. Manuscript received September 8, 2017; final manuscript received April 2, 2018; published online May 7, 2018. Assoc. Editor: Gerardo Diaz.
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Unrau, C. M., and Lightstone, M. F. (May 7, 2018). "Analysis of Numerical Error in One-Dimensional Storage Tank Models for Solar Energy System Simulations." ASME. J. Sol. Energy Eng. October 2018; 140(5): 051004. https://doi.org/10.1115/1.4039985
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