Depth-integrated nonhydrostatic free-surface flow modeling using weighted-averaged equations
| Autor: | Francisco N. Cantero-Chinchilla, Oscar Castro-Orgaz, Abdul A. Khan |
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| Rok vydání: | 2018 |
| Předmět: |
010504 meteorology & atmospheric sciences
Wave propagation Continuous modelling Applied Mathematics Mechanical Engineering Mathematical analysis Computational Mechanics 01 natural sciences Riemann solver 010305 fluids & plasmas Computer Science Applications Weighting symbols.namesake Sine wave Mechanics of Materials Free surface 0103 physical sciences Hagen–Poiseuille flow from the Navier–Stokes equations symbols Vector field 0105 earth and related environmental sciences Mathematics |
| Zdroj: | International Journal for Numerical Methods in Fluids. 87:27-50 |
| ISSN: | 0271-2091 |
| DOI: | 10.1002/fld.4481 |
| Popis: | Summary In this study, a depth-integrated nonhydrostatic flow model is developed using the method of weighted residuals. Using a unit weighting function, depth-integrated Reynolds-averaged Navier-Stokes equations are obtained. Prescribing polynomial variations for the field variables in the vertical direction, a set of perturbation parameters remains undetermined. The model is closed generating a set of weighted-averaged equations using a suitable weighting function. The resulting depth-integrated nonhydrostatic model is solved with a semi-implicit finite-volume finite-difference scheme. The explicit part of the model is a Godunov-type finite-volume scheme that uses the Harten-Lax-van Leer-contact wave approximate Riemann solver to determine the nonhydrostatic depth-averaged velocity field. The implicit part of the model is solved using a Newton-Raphson algorithm to incorporate the effects of the pressure field in the solution. The model is applied with good results to a set of problems of coastal and river engineering, including steady flow over fixed bedforms, solitary wave propagation, solitary wave run-up, linear frequency dispersion, propagation of sinusoidal waves over a submerged bar, and dam-break flood waves. |
| Databáze: | OpenAIRE |
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