[HTML][HTML] Buoyancy driven flow of a viscous drop in viscoelastic materials

G Esposito, Y Dimakopoulos, J Tsamopoulos - Journal of Non-Newtonian …, 2023 - Elsevier
We study the motion of a viscous drop rising in a viscoelastic liquid that exhibits elastic and
shear thinning effects and is represented by the exponential PTT constitutive model. We …

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 …

Elasto-visco-plastic flows in benchmark geometries: I. 4 to 1 planar contraction

M Mousavi, Y Dimakopoulos, J Tsamopoulos - Journal of Non-Newtonian …, 2024 - Elsevier
We present predictions for the flow of elastoviscoplastic (EVP) fluids in the 4 to 1 planar
contraction geometry. The Saramito-Herschel-Bulkley fluid model is solved via the finite …

[PDF][PDF] Three-dimensional magnetohydrodynamic phenomena in circular pipe flow

V Klüber - 2023 - d-nb.info
A numerical code for the simulation of liquid metal magnetohydrodynamic (MHD) flow in
breeding blankets of future fusion reactors has been extended to address complex MHD …

IGG (χ): A new and simple implicit gradient scheme on unstructured meshes

G Natarajan - Computers & Mathematics with Applications, 2024 - Elsevier
A new and simple implicit Green-Gauss gradient (IGG) scheme for unstructured meshes is
proposed exploiting the ideas from the linearity-preserving U-MUSCL scheme to define …

A least squares perspective of Green–Gauss gradient schemes

M Deka, A Assam, G Natarajan - Physics of Fluids, 2023 - pubs.aip.org
The least squares and Green–Gauss gradient schemes have been traditionally studied as
two distinct techniques for gradient computation on unstructured meshes in the literature. In …

Electromagnetic force calculation within finite volume framework

M Marković, Z Petranović, C Fink… - Energy Sources, Part A …, 2024 - Taylor & Francis
In this research, the comparison of force calculation methods in magnetostatic simulations
within a cell-centered finite volume framework is presented. Various procedures for …

An adaptive gradient correction method based on mesh skewness for finite volume fluid dynamics simulations

M Song, C Li, X Guo, J Liu - Physics of Fluids, 2025 - pubs.aip.org
In unstructured mesh solvers based on the finite volume method, accurate gradient
calculation is crucial for determining the accuracy of equations. However, most mainstream …

Numerical aspects of gradient reconstruction schemes applied to complex geometries

FB Oliveira, JLF Azevedo - Journal of the Brazilian Society of Mechanical …, 2024 - Springer
The present work primarily focuses on the study of three gradient reconstruction techniques
applied to the calculation of viscous terms in a cell-centered, finite volume formulation for …

A generalized formulation for gradient schemes in unstructured finite volume method

M Deka, A Assam, G Natarajan - arXiv preprint arXiv:2402.06199, 2024 - arxiv.org
We present a generic framework for gradient reconstruction schemes on unstructured
meshes using the notion of a dyadic sum-vector product. The proposed formulation …