Discretization of a model for the formation of longshore sand ridges

Technical Report · Tue Jan 04 04:00:00 EST 1994

DOI:https://doi.org/10.2172/204227· OSTI ID:204227

Restrepo, J M ^[1]; Bona, J L ^[2]

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1. Argonne National Lab., IL (United States)
2. Pennsylvania State Univ., University Park, PA (United States) Mathmatics Dept.

This paper presents and evaluates the numerical solution of a coupled system of equations that arises in a model for the formation and evolution of three-dimensional longshore sand ridges. The model is based on the interaction between surficial or internal weakly nonlinear shallow-water waves, having weak spanwise spatial dependence, and the deformable bottom topography. The presentation of the details concerning the discretization of the model is primarily motivated by two facts: (1) The model involves equations for which little is known regarding its solutions, and (2) the predictor-corrector scheme presented here, which combines finite difference techniques and fixed-point methods, is simple, fast, and general enough to be used in the discretization of partial differential equations with local nonlinearities whose solutions are smooth.

• Research Organization: Argonne National Lab., IL (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 204227
• Report Number(s): MCS--P408-1293; ON: DE96007637
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
99 GENERAL AND MISCELLANEOUS
GEOLOGIC STRUCTURES
GEOLOGY
MATHEMATICAL MODELS
NUMERICAL SOLUTION
ORIGIN
PARTIAL DIFFERENTIAL EQUATIONS
SAND
WATER WAVES