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 …

Chimera grids for water simulation

RE English, L Qiu, Y Yu, R Fedkiw - Proceedings of the 12th ACM …, 2013 - dl.acm.org
We introduce a new method for large scale water simulation using Chimera grid embedding,
which discretizes space with overlapping Cartesian grids that translate and rotate in order to …

On the discretization of the diffusion term in finite-volume continuum mechanics

I Demirdžić - Numerical Heat Transfer, Part B: Fundamentals, 2015 - Taylor & Francis
The aim of this article is twofold: first, to present and analyze various practices for the finite-
volume discretization of the diffusion term in continuum mechanics transport equations; and …

Finite amplitude electroconvection induced by strong unipolar injection between two coaxial cylinders

J Wu, PA Vázquez, P Traoré, AT Pérez - Physics of Fluids, 2014 - pubs.aip.org
We perform a theoretical and numerical study of the Coulomb-driven electroconvection flow
of a dielectric liquid between two coaxial cylinders. The specific case, where the inner to …

Robust and accurate viscous discretization via upwind scheme–I: Basic principle

H Nishikawa - Computers & Fluids, 2011 - Elsevier
In this paper, we introduce a general principle for constructing robust and accurate viscous
discretization, which is applicable to various discretization methods, including finite-volume …

Tetrahedral embedded boundary methods for accurate and flexible adaptive fluids

C Batty, S Xenos, B Houston - Computer Graphics Forum, 2010 - Wiley Online Library
When simulating fluids, tetrahedral methods provide flexibility and ease of adaptivity that
Cartesian grids find difficult to match. However, this approach has so far been limited by two …

Effects of cell quality in grid boundary layer on the simulated flow around a square cylinder

L Bruno, D Oberto - Computers & Fluids, 2022 - Elsevier
The flow around a square cylinder is widely studied as a paradigmatic case in bluff body
aerodynamics. The effects of several physical parameters of the setup, and the errors …

Computational Fluid Dynamics Simulations of Multi-blade Savonius Wind Turbine

MZDA Nazri, AA Najib, MF Norazmi… - Journal of Design for …, 2023 - fazpublishing.com
This paper investigates the performance of different blade configurations (2-blade, 3-blade,
and 4-blade) in Savonius rotors to determine the most optimal design. A conventional …

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 …

Optimization of transonic low-Reynolds number airfoil based on genetic algorithm

Z Chen, XH Wei, T Xiao, N Qin - Proceedings of the …, 2024 - journals.sagepub.com
A 2-D airfoil shape optimization in transonic low-Reynolds number regime is conducted. A
Navier–Stokes flow solver with a transition model (k-ω SST γ-Reθ) is used to evaluate the …