activity
20192023
most citedA family of first-order accurate gradient schemes for finite volume methods

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

physics.flu-dyn2023

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

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…

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.NA20191 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…