IAHR Document Library

« Back to Library Homepage « Proceedings of the 30th IAHR World Congress (Thessaloniki, 2...

The Third-Order Accurate Polynomial Method for the Convective Terms Approximation

Author(s): P. Tkalich

Linked Author(s): Pavel Tkalich

Keywords: Third-order; Convection; Conservative; Polynomial approximation; Oil slick dynamics

Abstract: Using the Third-Order upstream Polynomial a new two-dimensional explicit numerical scheme (TOP-12) is developed for accurate approximation of convective terms in the conservation equations. The scheme is utilising 12 nodes, the minimum required to reach the uniform CFL stability condition in two directions. Using smaller and narrower flux stencils compared to other algorithms of similar accuracy, the TOP-12 scheme is more efficient in terms of computations per single node. Numerical tests and comparison with other well-known algorithms show a high performance of the developed scheme. The TOP-12 scheme is applied for investigation of oil slick dynamics on a water surface.


Year: 2003

Copyright © 2023 International Association for Hydro-Environment Engineering and Research. All rights reserved. | Terms and Conditions