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ARS Home » Southeast Area » Oxford, Mississippi » National Sedimentation Laboratory » Watershed Physical Processes Research » Research » Publications at this Location » Publication #395973

Research Project: Computational Tools and a Decision Support System for Management of Sediment and Water Quality in Agricultural Watersheds

Location: Watershed Physical Processes Research

Title: Multi-point momentum interpolation correction on collocated meshes

item ZHANG, YAOXIN - University Of Mississippi
item YAFEI, JIA - University Of Mississippi

Submitted to: Journal of Computational Physics 2
Publication Type: Peer Reviewed Journal
Publication Acceptance Date: 10/12/2021
Publication Date: 6/19/2019
Citation: Zhang, Y., Yafei, J. 2019. Multi-point momentum interpolation correction on collocated meshes. Journal of Computational Physics. 449:110783.

Interpretive Summary: Numerical models have been widely used in addressing water resource-related problems associated with agricultural irrigation, soil erosion, sediment transport, and pollutant transport, etc. This study developed a numerical model to better address the edge velocity of shallow water flow using non-overlapping grid cells. This approach demonstrated improved computation accuracy and stability within the two-dimensional computational hydro-science model developed at the University of Mississippi, including the interpolation of the edge velocity between the neighboring grid cells. The improved model was shown to achieve solutions faster and more accurately than other cross-edge momentum interpolation methods. This improved approach would be useful in simulations to better understand the impact of conservation practices associated with rainfall-induced overland flow, sediment transport and soil erosion problems in agricultural lands, rivers, lakes, etc.

Technical Abstract: Since the momentum interpolation method was proposed by Rhie and Chow in 1983, it has been widely used in studies of Computational Fluids Dynamics (CFD). The conventional momentum interpolation methods were designed across the edge between two neighboring cells. In this study, an alternative momentum interpolation method, called multi-point momentum interpolation correction (IC) method, is proposed. The proposed IC method is distinguished from the conventional cross-edge momentum interpolation methods by correcting and improving the edge velocity with the interpolated values of its surrounding edges. Examples including analytic, experimental and field cases demonstrated that the proposed IC method is generally capable of improving the convergence process and numerical accuracy.