activity
20162023
most citedA critical analysis of some popular methods for the discretisation of the gradient operator in finite volume methods

95 citations · 153 across the 6 of their papers we have counts for

collaborators

6 papers

physics.flu-dyn2023★ 18 cited

Extensional rheometry of mobile fluids. Part II: Comparison between the uniaxial, planar and biaxial extensional rheology of dilute polymer solutions using numerically-optimized stagnation point microfluidic devices

Simon J. Haward, Stylianos Varchanis, Gareth H. McKinley +2

In Part I of this paper [Haward et al. submitted (2023)], we presented a new three-dimensional microfluidic device (the optimized uniaxial and biaxial extensional rheometer, OUBER)…

physics.flu-dyn2023★ 13 cited

Extensional rheometry of mobile fluids. Part I: OUBER, an optimized uniaxial and biaxial extensional rheometer

Simon J. Haward, Francisco Pimenta, Stylianos Varchanis +4

We present a numerical optimization of a "6-arm cross-slot" device, yielding several three-dimensional shapes of fluidic channels designed to impose close approximations to ideal u…

cond-mat.soft2022★ 26 cited

Alignment of colloidal rods in crowded environments

Vincenzo Calabrese, Stylianos Varchanis, Simon J. Haward +1

Understanding the hydrodynamic alignment of colloidal rods in polymer solutions is pivotal for manufacturing structurally ordered materials. How polymer crowding influences the flo…

physics.comp-ph2021

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

Alexandros Syrakos, Oliver Oxtoby, Eugene de Villiers +3

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 projections,…

math.NA2019★ 1 cited

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

Oliver Oxtoby, Alexandros Syrakos, Eugene de Villiers +3

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 we…

math.NA2016★ 95 cited

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

Alexandros Syrakos, Stylianos Varchanis, Yannis Dimakopoulos +2

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 of…