In the present paper simulation of tidal currents on three-dimensional geometry of the Persian Gulf is performed by the solution of the depth averaged hydrodynamics equations. The numerical solution was applied on two types of discritized simulation domain (Persian Gulf); with and without major islands. The hydrodynamic model utilized in this work is formed by equations of continuity and motion...

Our purpose is to prove the convergence of a finite volume discretization of (1.1). Finite volume methods have been widely used to approximate solutions to convection-diffusion equations, either using structured or unstructured grids (see for example [2], [9], [5], [6], [8]). The grids we consider here are the same as in [5], that is to say grids made of convex polygonal control volumes with so...

In this paper an improved finite volume scheme to discretize diffusive flux on a non-orthogonal mesh is proposed. This approach, based on an iterative technique initially suggested by Khosla and known as deferred correction, has been intensively utilized by Muzaferija and later Fergizer and Peric to deal with the non-orthogonality of the control volumes. Using a more suitable decomposition of t...

A high-order, conservative, yet efficient method named the spectral volume (SV) method is developed for conservation laws on unstructured grids. The concept of a “spectral volume” is introduced to achieve high-order accuracy in an efficient manner similar to spectral element and multidomain spectral methods. Each spectral volume is further subdivided into control volumes, and cell-averaged data...

We review the spatial discretization procedure for three high-order, unstructured grid methods recently developed for use within ocean circulation modeling. They are based respectively on spectral finite element and high-order finite volume formulations. We discuss and contrast the three methods in the context of the shallow water equations.

The present paper deals with the continuous work of extending the application of a multidimensional-type solution reconstruction and limiting procedure into the finite volume (FV) computation of 2D compressible flows. Based on a MUSCL-type technique, this reconstruction procedure identifies and cures poor connected grids without suffering from loss of accuracy by taking into account geometrical...

The co-volume integration method, Yee’s scheme, generalized to unstructured mesh is considered and compared with time domain finite element method (TDFE). In order to generate the meshes for which a good quality dual mesh is ensured, a new point placing method for the generation of meshes appropriate for the use of the co-volume method is proposed. Numerical examples are presented which demonst...