Primitive Form Godunov-Type Scheme for Two-Phase Homogeneous Water Hammer Flows
Publication: Journal of Hydraulic Engineering
Volume 146, Issue 4
Abstract
The primitive form second-order Godunov-type scheme is developed to simulate two-phase homogeneous water hammer flows. Compared with the previous solution schemes applied to homogeneous flows, the proposed model introduces a conservative scheme using primitive variables within a Godunov approach. Simplifications of the variables using a Riemann solver and second-order scheme are developed and demonstrated. Predictions of the proposed model are compared both with those calculated using a conservative Godunov scheme and with published experimental results. Results show that the primitive form second-order Godunov-type scheme reproduces the experimental pressure histories considerably better than the conservative Godunov scheme. In particular, the proposed primitive scheme converges to the correct solution in the presence of shock waves, and performs better than the traditional conservative Godunov scheme both in computational accuracy and efficiency.
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Data Availability Statement
The data generated during the study are available from the corresponding author by request.
Acknowledgments
The authors gratefully acknowledge the financial support for this research from the National Natural Science Foundation of China (Grant Nos. 51679066 and 51839008), the Fundamental Research Funds for the Central Universities (Grant No. 2018B43114), Fok Ying Tong Education Foundation (Grant No. 161068), and the China Scholar Council (File No. 201806715024).
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Published In
Journal of Hydraulic Engineering
Volume 146 • Issue 4 • April 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: May 12, 2019
Accepted: Sep 23, 2019
Published online: Jan 30, 2020
Published in print: Apr 1, 2020
Discussion open until: Jun 30, 2020
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