Print Email Facebook Twitter A streamline tracking algorithm for semi-Lagrangian advection schemes based on the analytic integration of the velocity field Title A streamline tracking algorithm for semi-Lagrangian advection schemes based on the analytic integration of the velocity field Author Ham, D.A. Pietrzak, J. Stelling, G.S. Faculty Civil Engineering and Geosciences Department Hydraulic Engineering Date 2005-12-31 Abstract A new scheme for the construction on an unstructured grid of the streamlines of the three-dimensional shallow water equations is presented. The qualitative advantages of the scheme, notably closed streamlines and realistic treatment of closed boundaries, are derived and the spatial accuracy is demonstrated. Semi-Lagrangian advection schemes offer the computational cost advantage of being explicit but also unconditionally stable with respect to time step. However, semi-Lagrangian methods based on the numerical integration of the discretised velocity field frequently have difficulty in meeting physically significant criteria such as the closure of streamlines and the inviolability of closed boundaries. Here a streamline tracking scheme based on the analytic integration of the discretised velocity field is presented. Subject computational fluid dynamicssemi-Lagrangianadvectionstreamlinesfinite volumeunstructured mesh To reference this document use: http://resolver.tudelft.nl/uuid:039da829-a247-40a1-bc83-09b38b9988f5 DOI https://doi.org/10.1016/j.cam.2005.04.055 Publisher Elsevier ISSN 0377-0427 Source Journal of Computational and Applied Mathematics, 192 (1), 2006 Part of collection Institutional Repository Document type journal article Rights © 2005 The Author(s)Elsevier Files PDF Ham_2005.pdf 197.42 KB Close viewer /islandora/object/uuid:039da829-a247-40a1-bc83-09b38b9988f5/datastream/OBJ/view