Author

Nitin Bhagat

Advisor

King, Roger L.

Committee Member

Bettencourt, Matthew

Committee Member

Haupt, Tomasz

Date of Degree

8-1-2004

Document Type

Graduate Thesis - Open Access

Major

Computational Engineering (Program)

Degree Name

Master of Science

Abstract

An adaptive mesh refinement algorithm for shallow water equations is presented. The algorithm uses upwind scheme that is Godunov type and which approximately solves the Riemann problem using Roe's technique. A highly accurate solution is achieved by using the adaptive mesh refinement technique of Berger and Oliger for mesh refinement algorithm. The numerical method is second-order accurate and approximately max-min preserving by using van Leer limited-slope technique. One-dimensional nesting algorithm has been implemented successfully. Numerical results on a test problem verify the second order accuracy of the algorithm. The nested grid results yield the equivalent solution to that of the corresponding fine grid solution.

URI

https://hdl.handle.net/11668/21278

Share

COinS