The paper is devoted to the convergence analysis of a well-known cell-centered Finite Volume Method (FVM) for a convection-difïusion problem in R. This FVM is based on Voronoi boxes and exponential fitting. To prove the convergence of the FVM, we use a new nonconforming PetrovGalerkin Finite Element Method (FEM) for which the System of linear équations coïncides completely with that of the FVM....

The usage of the finite volume method (FVM) for calculation of bulk metal forming working pressure is described in this paper. FVM is applied on two-dimensional orthogonal grids and colocated variable arrangement. The application of the FVM is done in case of solving the plastic flow during extrusion processes with different boundary conditions. The method of involving of the most frequently us...

This paper proposes and analyzes a stabilized finite-volume method FVM for the threedimensional stationary Navier-Stokes equations approximated by the lowest order finite element pairs. The method studies the new stabilized FVM with the relationship between the stabilized FEM FEM and the stabilized FVM under the assumption of the uniqueness condition. The results have three prominent features i...

Vorticity-stream function method and MAC algorithm are adopted to systemically compare the finite volume method (FVM) and finite difference method (FDM) in this paper. Two typical problems—lid-driven flow and natural convection flow in a square cavity—are taken as examples to compare and analyze the calculation performances of FVM and FDMwith variant mesh densities, discrete forms, and treatmen...

Multiple-criteria decision-making (MCDM) that deals with multiple criteria in decision-making environments has been explicitly applied to various decision-making fields. Nevertheless, the critical issues of uncertainty and inaccuracy generally and gradually exists in the majority of the MCDM processes because of (1) prejudice and preference of decision-makers or experts as well as (2) the insuf...

Multiple-criteria decision-making (MCDM) that deals with multiple criteria in decision-making environments has been explicitly applied to various decision-making fields. Nevertheless, the critical issues of uncertainty and inaccuracy generally and gradually exists in the majority of the MCDM processes because of (1) prejudice and preference of decision-makers or experts as well as (2) the insuf...

This paper proposes a novel approach for smoothing surfaces represented by triangular meshes. The proposed method is a two-step procedure: surface normal smoothing through fuzzy vector median (FVM) filtering followed by vertex position update based on the least square error criteria. This paper applies the fuzzy ordering theory to the vector based data and introduces the fuzzy vector median. Th...

A drawback of the Smoothed Particle Hydrodynamics (SPH) method is its computational effort. An intuitive way to reduce the calculation time, is to use SPH only in parts of the problem domain where it is necessary, e.g. in a region where interfaces are present, because of the advantages of SPH for multiphase flow. In other parts of the problem domain, e.g. in a region of simple flow, a cheap met...

In our paper we would like to present the computational model and programmes which enable calculations of the concentration of pollutants in underground garage caused by assumed scenarios of cars motion for given parameters of building geometry and ventilation. The finite volume method (FVM) has been applied in order to discretise the differential equations. Both problems: velocities of air dis...