A critical analysis of some popular methods for the discretisation of the gradient operator in finite volume methods
Finite volume methods (FVMs) constitute a popular class of methods for the numerical
simulation of fluid flows. Among the various components of these methods, the discretisation …
simulation of fluid flows. Among the various components of these methods, the discretisation …
Numerical experiments on the efficiency of local grid refinement based on truncation error estimates
Local grid refinement aims to optimise the relationship between accuracy of the results and
number of grid nodes. In the context of the finite volume method no single local refinement …
number of grid nodes. In the context of the finite volume method no single local refinement …
Estimate of the truncation error of finite volume discretization of the Navier–Stokes equations on colocated grids
A methodology is proposed for the calculation of the truncation error of finite volume
discretizations of the incompressible Navier–Stokes equations on colocated grids. The …
discretizations of the incompressible Navier–Stokes equations on colocated grids. The …
Finite volume adaptive solutions using SIMPLE as smoother
This paper describes a new multilevel procedure that can solve the discrete Navier–Stokes
system arising from finite volume discretizations on composite grids, which may consist of …
system arising from finite volume discretizations on composite grids, which may consist of …
On the order of accuracy of the divergence theorem (Green-Gauss) method for calculating the gradient in finite volume methods
The divergence theorem (or Green-Gauss) gradient scheme is among the most popular
methods for discretising the gradient operator in second-order accurate finite volume …
methods for discretising the gradient operator in second-order accurate finite volume …