Modeling 3-D Circulation Using the DSS Techniqueby R. A. Luettich, Jr., Univ of North Carolina at Chapel, Hill, Morehead, United States,
S. Hu, Univ of North Carolina at Chapel, Hill, Morehead, United States,
J. J. Westerink, Univ of North Carolina at Chapel, Hill, Morehead, United States,
N. W. Scheffner, Univ of North Carolina at Chapel, Hill, Morehead, United States,
Abstract: The direct stress solution (DSS) technique allows a numerical internal mode solution for the vertical variation of shear stress, rather than velocity, in a three-dimensional circulation model. This is particularly attractive for shallow waterbodies, since stress varies slowly through the water column. Therefore, only a few discretizations are needed over the depth, even if the free surface and bottom boundary layers are resolved explicitly. A DSS formulation is presented that yields banded system matrices and allows the recovery of velocity from stress to be done simply and in closed-form. Results from linear and nonlinear test cases are presented that illustrate the efficiency and accuracy of the DSS technique.
Subject Headings: Shear stress | Three-dimensional models | Vertical loads | Shallow water | Hydrologic models | Numerical methods | Numerical models | Columns
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