Improvement of fast fluid dynamics with a conservative semi-Lagrangian scheme
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 5 January 2015
Abstract
Purpose
The purpose of this paper is to develop a simple and efficient conservative semi-Lagrangian scheme (SL) for solving advection equation in fast fluid dynamics (FFD), so FFD can provide fast indoor airflow simulations while preserving conservation for energy and species transport.
Design/methodology/approach
This study thus proposed a mass-fixing type conservative SL that redistributes global surplus/deficit on the advected field after performing the standard semi-Lagrangian advection. The redistribution weights were designed to preserve the properties of conservatives and monotonicity.
Findings
The effectiveness of the conservative SL was validated with several test cases, and the results show that the proposed scheme is indeed conservative with negligible impact on the accuracy of the standard solutions. The numerical tests show that the proposed scheme was indeed conservative with negligible impact on the accuracy of the flow prediction.
Originality/value
The FFD with conservative SL can effectively enforce the energy and species conservation for indoor airflow and predict airflow distributions with reasonable accuracy.
Keywords
Acknowledgements
This work was supported by the US Department of Energy through the Energy-Efficiency Building Hub program led by the Pennsylvania State University.
Citation
Jin, M. and Chen, Q. (2015), "Improvement of fast fluid dynamics with a conservative semi-Lagrangian scheme", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 No. 1, pp. 2-18. https://doi.org/10.1108/HFF-04-2013-0119
Publisher
:Emerald Group Publishing Limited
Copyright © 2015, Emerald Group Publishing Limited