Technical Notes
Mar 20, 2019

Velocity Correction Coefficients in Pressure Correction–Type Model

Publication: Journal of Hydraulic Engineering
Volume 145, Issue 6

Abstract

Velocity correction methods are often used in numerical models simulating fluid flows. This paper presents a new method to evaluate the velocity correction coefficient: an equation constructed from the coefficient matrix of the linearized momentum equations is simultaneously solved for the velocity correction coefficient. In addition, the implicit equation of correction coefficients (ECC) method includes a smoothing mechanism, which makes it numerically more stable than the commonly used Semi-Implicit Method for Pressure-Linked Equations-Consistent (SIMPLEC) method because larger relaxation factors and time steps can be used. The ECC method was integrated into a two-dimensional (2D) depth-integrated unstructured finite-volume method (FVM) model based on a hybrid mesh system (triangle and quadrilateral). It was demonstrated using one experimental case and a field case. According to the numerical tests, the proposed ECC method can not only enhance the numerical stability but also improve the computing efficiency due to the capability of using large relaxation factors and large time steps for the pressure correction–type models.

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Acknowledgments

This work is a part of research sponsored by the USDA Agriculture Research Service under Specific Research Agreement No. 6060-13000-025-00D (monitored by the USDA-ARS National Sedimentation Laboratory) and The University of Mississippi.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 145Issue 6June 2019

History

Received: Jan 23, 2018
Accepted: Nov 29, 2018
Published online: Mar 20, 2019
Published in print: Jun 1, 2019
Discussion open until: Aug 20, 2019

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Authors

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Yaoxin Zhang, M.ASCE [email protected]
Senior Research Scientist, National Center for Computational Hydroscience and Engineering, Univ. of Mississippi, 345 Brevard Hall, University, MS 38677 (corresponding author). Email: [email protected]
Yafei Jia, M.ASCE [email protected]
Research Professor and Associate Director, National Center for Computational Hydroscience and Engineering, Univ. of Mississippi, 328 Brevard Hall, University, MS 38677. Email: [email protected]

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