An accurate finite volume method using fourth order Adams scheme on triangular grids for the Saint-Venant System
الملخص
In this study, a new finite volume method is developed for shallow water equations on a rotating
frame. Most upwind methods, which perform well for gravity waves, lead to large oscillations and/or
numerical damping for Rossby waves. We propose an upwind finite volume method on unstructured grids
which provides accurate results both for Rossby and gravity waves. This method uses a high-order upwind
scheme for the calculation of the numerical flux, and a fourth-order Adams method with an operator splitting
approach for temporal integration. The Coriolis term is integrated analytically before and after solving the
conservation law. The proposed method can successfully suppress the short-wave numerical noise without
damping the long waves. The balance between the flux and Coriolis terms is preserved. This method
presents more accurate results than some well-known upwind schemes.
DOI/handle
http://hdl.handle.net/10576/45990المجموعات
- الهندسة الكيميائية [1175 items ]