Improved HLL Riemann Solver Including Source Term for Transient Mixed Flow
Publication: Journal of Hydraulic Engineering
Volume 149, Issue 11
Abstract
The increasing number of interbasin diversion projects place high demands on fine-grained simulation and control of free-surface and transient mixed flow. Since the numerical oscillation of the transient mixed flow generates more with higher-order finite volume method (FVM), the study is based on a high-precision first-order Harten, Lax, and van Leer (HLL) Riemann solver that considers the source term (HLLS). This study modifies the original HLLS solver and introduces numerical viscosity in the vicinity of filling bores to suppress the numerical oscillations. Furthermore, this study explores the selection of wave velocity calculation methods. A first-order scheme with high accuracy of the free surface and transient flow was developed and verified through various experiments. The results show that the proposed scheme can deal with the bottom slope both in constant free-surface and mixed flow. This is because of the perfect conservation properties of this scheme. Furthermore, the formula shows good performance in transient mixed flow. Therefore, this method can satisfy the requirements for modelling a long-distance complex channel tunnel system.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding authors upon reasonable request.
Acknowledgments
This research was supported by the National Natural Science Foundation of China (Grant Nos. 51979202 and 51879199). We also acknowledge the constructive comments from the reviewers.
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Published In
Journal of Hydraulic Engineering
Volume 149 • Issue 11 • November 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Aug 24, 2022
Accepted: Jun 18, 2023
Published online: Aug 17, 2023
Published in print: Nov 1, 2023
Discussion open until: Jan 17, 2024
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