Keywords
non-hydrostatic; three-dimensional model; hydrodynamic; θ method
Location
Session A1: Environmental Fluid Mechanics - Theoretical, Modelling and Experimental Approaches
Start Date
12-7-2016 5:10 PM
End Date
12-7-2016 5:30 PM
Abstract
The hydrostatic pressure assumption has been widely applied in hydrodynamic numerical simulation in rivers and lakes, but it has been found inappropriate in various cases where the vertical acceleration is significant. To this end, this paper proposes a new three-dimensional, non-hydrostatic hydrodynamic model. Based on Navier-Stokes equations with the σ-coordinate transformation, rectangular grid is adopted as the approximation of the study region. For numerical solution, the process includes two steps, the estimated step and the modified step. The FDM is adopted to derive the discretization of the governing equations, and the θ method is employed for equations solution. A numerical test is presented to prove the validity of the proposed model and numerical methods, the results show that the model has the capability and superiority to provide precise prediction for flow field distribution of natural water movements compared to the hydrostatic model, the calculation efficiency of the model is discussed in this paper.
Included in
Civil Engineering Commons, Data Storage Systems Commons, Environmental Engineering Commons, Hydraulic Engineering Commons, Other Civil and Environmental Engineering Commons
Numerical Simulation of a New Three-dimensional Non-hydrostatic Model
Session A1: Environmental Fluid Mechanics - Theoretical, Modelling and Experimental Approaches
The hydrostatic pressure assumption has been widely applied in hydrodynamic numerical simulation in rivers and lakes, but it has been found inappropriate in various cases where the vertical acceleration is significant. To this end, this paper proposes a new three-dimensional, non-hydrostatic hydrodynamic model. Based on Navier-Stokes equations with the σ-coordinate transformation, rectangular grid is adopted as the approximation of the study region. For numerical solution, the process includes two steps, the estimated step and the modified step. The FDM is adopted to derive the discretization of the governing equations, and the θ method is employed for equations solution. A numerical test is presented to prove the validity of the proposed model and numerical methods, the results show that the model has the capability and superiority to provide precise prediction for flow field distribution of natural water movements compared to the hydrostatic model, the calculation efficiency of the model is discussed in this paper.
