A block structured adaptive solution to the shallow water equations |
Posted on:2005-08-20 | Degree:M.S | Type:Thesis |
University:Mississippi State University | Candidate:Bhagat, Nitin | Full Text:PDF |
GTID:2450390008477494 | Subject:Engineering |
Abstract/Summary: | |
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. |
Keywords/Search Tags: | Solution, Algorithm, Adaptive, Mesh refinement |
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