A critical analysis of some popular methods for the discretisation of the gradient operator in finite volume methods

A Syrakos, S Varchanis, Y Dimakopoulos, A Goulas… - Physics of …, 2017 - pubs.aip.org
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 …

Effect of wavy corrugations on the performance enhancement of direct contact membrane distillation modules: A numerical study

M Darman, N Niknafs, A Jalali - Chemical Engineering and Processing …, 2023 - Elsevier
This study employs three-dimensional (3D) computational fluid dynamics (CFD) simulations
to investigate the influence of corrugations on direct contact membrane distillation (DCMD) …

A unification of least-squares and Green–Gauss gradients under a common projection-based gradient reconstruction framework

A Syrakos, O Oxtoby, E De Villiers, S Varchanis… - … and Computers in …, 2023 - Elsevier
We propose a family of gradient reconstruction schemes based on the solution of over-
determined systems by orthogonal or oblique projections. In the case of orthogonal …

Development and modeling of a novel type of photoreactors with exterior ultraviolet (UV) reflector for water treatment applications

A Hassanpour, A Jalali, M Raisee, MR Naghavi - Scientific Reports, 2023 - nature.com
Ultraviolet (UV) water disinfection method has emerged as an alternative to chemical
methods of disinfection. In typical UV photoreactors for water treatment, water flows in the …

Cell-centered finite volume methods

X Feng, X Feng - Magnetohydrodynamic Modeling of the Solar Corona …, 2020 - Springer
This chapter is devoted to the description of finite volume method (FVM). FVM is a
discretization technique for partial differential equations, especially those that arise from …

Improving finite-volume diffusive fluxes through better reconstruction

CB Sejekan, CF Ollivier-Gooch - Computers & Fluids, 2016 - Elsevier
The overarching goal of CFD is to compute solutions with low numerical error. For finite-
volume schemes, this error originates as error in the flux integral. For diffusion problems on …

A switching ILU (0)-SGS preconditioner for matrix systems of incompressible flow and heat transfer using condition number estimates

K Chandran, K Muralidhar - Progress in Computational …, 2020 - inderscienceonline.com
Preconditioning of matrix systems obtained from an unstructured finite volume discretisation
of the incompressible NS equations are studied. The condition number is first estimated by …

A family of first-order accurate gradient schemes for finite volume methods

O Oxtoby, A Syrakos, E De Villiers, S Varchanis… - arxiv preprint arxiv …, 2019 - arxiv.org
A new discretisation scheme for the gradient operator, suitable for use in second-order
accurate Finite Volume Methods (FVMs), is proposed. The derivation of this scheme, which …

A staggered grid method for solving incompressible flow on unstructured meshes

H Shu, M Xu, X Duan, Y Li, Y Sun… - Computer Modeling in …, 2020 - ingentaconnect.com
A finite volume method based unstructured grid is presented to solve the two dimensional
viscous and incompressible flow. The method is based on the pressure-correction concept …

[CITÁCIA][C] Development of a novel computational framework for non-newtonian flows with applications to hemodynamics

M Basumatary - 2019