The depth average module of NASIR finite volume solver was applied to study the tide induced currents in Khowr-e-Musa estuary. The model computes water level variation and velocity components in horizontal plane solving depth average continuity and momentum equations considering the hydrostatic pressure distribution. The software takes into account the bed and wall geometric complexities and re...

A two-dimensional unstructured elliptic smoothing method is described where the Winslow equations are discretized using a finite volume approach. Virtual control volumes for each node are constructed with element shapes that are nearly ideal. Green-Gauss theorem is used to formulate gradients over an element or a collection of elements for a node, which ultimately leads to a coupled non-linear ...

A conservative semi-Lagrangian method is designed in order to solve linear advection equations in two space variables. The advection scheme works with finite volumes on an unstructured mesh, which is given by a Voronoi diagram. Moreover, the mesh is subject to adaptive modifications during the simulation, which serves to effectively combine good approximation quality with small computational co...

As we have seen in the previous lectures, FD are very intuitive but lack flexibility and accuracy towards complex geiometries. FEM solve the problem very effectively, but at the cost of a significant computational burden. As we shall see, the FVM offers a very effective intermediate strategy between the two. In this lecture we shall describe the main ideas behind the Finite Volume (FV) method, ...

[1] A sea ice model was developed by converting the Community Ice Code (CICE) into an unstructured‐grid, finite‐volume version (named UG‐CICE). The governing equations were discretized with flux forms over control volumes in the computational domain configured with nonoverlapped triangular meshes in the horizontal and solved using a second‐order accurate finite‐volume solver. Implementing UG‐CI...

This paper examines formulation of the discretization schemes for diffusion process simulation that allow coarse grid spacings in the areas of exponentially varying concentrations and fluxes. The method of integral identities is used as a common framework for exponential fitting of both the finite difference and finite element schemes. An exponentially fitted finite difference scheme, with disc...

Non-Newtonian models with shear-thinning viscosity are commonly used to solve a variety of complex flow problems. A new finite-volume discretisation based upon an unstructured grid is used to integrate the differential form of the Lattice Boltzmann equation (ULBE) with a shear-dependent viscosity, using a cell-vertex finite-volume technique. The unknown fields are placed at the nodes of the mes...

Non-Newtonian models with shear-thinning viscosity are commonly used to solve a variety of complex flow problems. A new finite-volume discretization based upon an unstructured grid is used to integrate the differential form of the lattice Boltzmann equation with a shear-dependent viscosity, using a cell-vertex finite-volume technique. The unknown fields are placed at the nodes of the mesh and e...

In this article, we propose a technique for improving the image quality of particle-based volume rendering (PBVR). A large-scale unstructured volume dataset often contains multiple sub-volumes, which cannot be ordered by visibility. PBVR can handle this type of volume dataset. Sampling misses often occur when the transfer function undergoes drastic changes, which can result in poor image qualit...