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Improvement of fast fluid dynamics with a conservative semi-Lagrangian scheme

Mingang Jin (Purdue University, West Lafayette, Indiana, USA)
Qingyan Chen (School of Mechanical Engineering, Purdue University, West Lafayette, Indiana, USA)

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

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Emerald Group Publishing Limited

Copyright © 2015, Emerald Group Publishing Limited