An Unstructured Finite-volume Algorithm for Predicting Flow in Rivers and Estuaries
نویسندگان
چکیده
ÐA numerical algorithm is presented for the solution of geometrically challenging two-dimensional river and estuary ̄ows, based on an adaptive triangular tessellation of the ̄ow domains of interest. The governing, shallow water, equations are discretised using a ®nite volume approach embodying variable step time integrators, to yield a method that is second order accurate in both space and time. An approximate Riemann solver is used to determine ̄ow directionality in conjunction with an eective means of dealing with wetting and drying at the boundaries. The approach is capable of handling complex ̄ow domains and yielding solutions for which errors are controlled automatically by the use of spatial re-gridding and time stepping based on local error estimates. Its range of applicability is demonstrated through considering several problems involving super/sub-critical ̄ow, wetting/drying, culminating in the solution of a complete estuary problem. # 1998 Elsevier Science Ltd. All rights reserved
منابع مشابه
Efficient scheme for the shallow water equations on unstructured grids with application to the Continental Shelf
In this paper, a shallow-water flow solver is presented, based on the finite-volume method on unstructured grids The method is suitable for flows that occur in rivers, channels, sewer systems (1D), shallow seas, rivers, overland flow (2D), and estuaries, lakes and shelf breaks (3D). We present an outline of the numerical approach and show three 2D test cases and an application of tidal propagat...
متن کاملPressure-Velocity Coupled Finite Volume Solution of Steady Incompressible Invscid Flow Using Artificial Compressibility Technique
Application of the computer simulation for solving the incompressible flow problems motivates developing efficient and accurate numerical models. The set of Inviscid Incompressible Euler equations can be applied for wide range of engineering applications. For the steady state problems, the equation of continuity can be simultaneously solved with the equations of motion in a coupled manner using...
متن کاملAdaptive Solution of Steady Two Dimensional Flow on an Unstructured Grid
Two-dimensional Euler equations have been solved on an unstructured grid. An upwind finite volume scheme, based on Roes flux difference splitting method, is used to discretize the equations. Using advancing front method, an initial Delaunay triangulation has been made. The adaptation procedure involves mesh enrichment coarsening in regions of flow with high low gradients of flow properties, acc...
متن کاملImplementation of a discontinuous Galerkin morphological model on two-dimensional unstructured meshes
The shallow water equations are used to model large-scale surface flow in the ocean, coastal rivers, estuaries, salt marshes, bays, and channels. They can describe tidal flows as well as storm surges associated with extreme storm events, such as hurricanes. The resulting currents can transport bed load and suspended sediment and result in morphological changes to the seabed. Modeling these proc...
متن کاملAdaptive Solution of Steady Two Dimensional Flow on an Unstructured Grid
Two-dimensional Euler equations have been solved on an unstructured grid. An upwind finite volume scheme, based on Roe's flux difference splitting method, is used to discretize the equations. Using advancing front method, an initial Delaunay triangulation has been made. The adaptation procedure involves mesh enrichment coarsening in regions of flow with high low gradients of flow properties, ac...
متن کامل