Theses and Dissertations
Issuing Body
Mississippi State University
Advisor
King, Roger L.
Committee Member
Bettencourt, Matthew
Committee Member
Haupt, Tomasz
Date of Degree
8-7-2004
Document Type
Graduate Thesis - Open Access
Major
Computational Engineering (Program)
Degree Name
Master of Science
College
James Worth Bagley College of Engineering
Department
Computational Engineering Program
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
Recommended Citation
Bhagat, Nitin, "A Block Structured Adaptive Solution to the Shallow Water Equations" (2004). Theses and Dissertations. 29.
https://scholarsjunction.msstate.edu/td/29