A Fully Non-Hydrostatic Three-Dimensional Model with an Implicit Algorithm for Free-Surface Flows

A three-dimensional (3D) implicit numerical model based upon the Navier-Stokes equations (NSE) for free-surface flow is developed. To avoid solving the fully 3D Pressure Poisson Equation (PPE), an algorithm is developed by decoupling the original matrix system into a series of sub-matrix systems corresponding to two-dimensional (2D) vertical planes. The features of the model include (1) a novel treatment for the non-hydrostatic pressure at the top-layer cell in a staggered grid, consistent with the overall non-hydrostatic pressure discretization; (2) the option of partial-cell treatment on bottom topographies, enabling the model to simulate free-surface flows interacting with uneven bottoms with a reasonable vertical resolution; (3) simultaneously solving all flow-field components (e.g., the velocities, pressure and free-surface elevation) within each time step; and (4) capability of simulating both 3D short waves and long waves with a second-order accuracy in both time and space. The developed model is validated by two free-surface problems, in which the vertical accelerations are considerable and thus the pressure fields are in non-hydrostatic distributions. The numerical results are in excellent agreements with the analytical solutions and experimental data, illustrating the capability of the algorithm for simulating 3D free surface flows.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/0784407347
• Corporate Authors:

  American Society of Civil Engineers

  1801 Alexander Bell Drive
  Reston, VA  United States  20191-4400
• Authors:
  • Wu, Chin H
  • Yuan, Hengliang
• Conference:
  • Estuarine and Coastal Modeling. Eighth International Conference
  • Location: Monterey California, United States
  • Date: 2003-11-3 to 2003-11-5
• Publication Date: 2004

Language

• English

Media Info

• Media Type: Print
• Features: Figures;
• Pagination: pp 591-607
• Monograph Title: Estuarine and Coastal Modeling

Subject/Index Terms

• TRT Terms: Algorithms; Cartographic grids; Equations; Flow fields; Hydrostatics; Numerical analysis; Poisson distributions; Pressure; Pressure fields; Simulation; Three dimensional displays
• Subject Areas: Marine Transportation; Operations and Traffic Management;

Filing Info

• Accession Number: 01005928
• Record Type: Publication
• ISBN: 0784407347
• Files: TRIS
• Created Date: Oct 21 2005 7:59AM