A new technique for the implementation of cell-centered finite volume schemes is proposed. It is based on an equivalence between these schemes and the non-conforming Crouzeix-Raviart finite element approximation. Though the implementation somewhat increases the number of unknowns, it brings two significant advantages that make it attractive. On the one hand the resulting formulation is well-def...

In this paper a composite plate with similar unidirectional fibers is considered. Assuming orthotropic structure, theory of elasticity is used for investigating the stress concentration. Also, complex variable functions are utilized for solving the plane stress problems. Then the effective characteristics of this plate are studied numerically by using ANSYS software. In this research a volume e...

In the framework of fictitious domain methods with immersed interfaces for elasticity problem, present contribution is to study and numerically validate jump-integrated boundary conditions method sharp interface vector system discretized by a proposed finite volume method. The main idea approach consists in embedding original into geometrically larger simpler one called domain. Here, we cell-ce...

Grid generation for reservoir simulation, must honour classical key geological features and multilateral wells. The to be honoured are classified into two groups; (1) involving layers, faults, pinchouts fractures, (2) well distributions. In the former, control-volume boundary aligned grids (BAGs) required, while in latter, control-point (defined as centroid of control-volume) (WAGs) required. D...

saccharomyces cerevisiae (baker’s yeast) can exhibit sustained oscillations during the operation in a continuous bioreactor that adversely affects its stability and productivity. because of heterogeneous nature of cell populations, the cell population balance equation (pbe) can be used to capture the dynamic behavior of such cultures. in this work, an unstructured-segregated model is used for d...

A novel high-order method, termed flux correction, previously formulated for inviscid flows, is extended to viscous flows on arbitrary triangular grids. The correction method involves the addition of truncation errorcanceling terms to the second-order linear Galerkin (node-centered finite volume) scheme to produce a thirdorder inviscid and fourth-order viscous scheme. The correction requires mi...

• The newly presented schemes lead to smaller linear systems on unstructured grids. Additional degrees of freedom are introduced locally capture discontinuities. Flux mortars at the interfaces allow for strong incorporation coupling conditions. Flow in fractured porous media is high relevance a variety geotechnical applications, given fact that they ubiquitously occur nature and can have substa...

Abstract. Cell-centered and vertex-centered finite volume schemes for the Laplace equation with homogeneous Dirichlet boundary conditions are considered on triangular meshes and their Voronoi duals. On a two-dimensional convex polygonal domain, it is shown that a suitable combination of the solutions of these two schemes converges with second-order accuracy towards the exact solution in the L n...

Saccharomyces cerevisiae (baker’s yeast) can exhibit sustained oscillations during the operation in a continuous bioreactor that adversely affects its stability and productivity. Because of heterogeneous nature of cell populations, the cell population balance equation (PBE) can be used to capture the dynamic behavior of such cultures. In this work, an unstructured-segregated model is used f...