Accession Number:

ADA413152

Title:

Implementation of a Discontinuous Galerkin Discretization of the Conversation of Mass Equation in QUODDY

Descriptive Note:

Formal rept. 29-31 Oct 2002

Corporate Author:

NAVAL RESEARCH LAB STENNIS SPACE CENTER MS OCEANOGRAPHY DIV

Report Date:

2003-03-19

Pagination or Media Count:

19.0

Abstract:

Two variations of a discontinuous Galerkin method are investigated for the primitive form of the time-dependent, 2-D, depth-averaged conservation of mass equation for shallow water. Linear approximating functions are employed, which are defined locally on each element, providing three degrees of freedom per element. In the first method, the degrees of freedom are the nodal values for each element. Analytical integration rules are developed to evaluate the volume integrals, and Gaussian quadrature is to evaluate the element edge integrals produced by the finite element approximation. Time integration is achieved using a second-order Runge-Kutta method. The method is implemented into the computer code QUODDY, replacing the generalized wave continuity equation GWCE formulation into the code. The implementation is validated on a test case involving tidal boundary conditions in the Gulf of Maine.

Subject Categories:

  • Hydrology, Limnology and Potamology
  • Numerical Mathematics
  • Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE