Solution of the square lid-driven cavity flow of a Bingham plastic using the finite volume method

A Syrakos, GC Georgiou, AN Alexandrou - Journal of Non-Newtonian Fluid …, 2013 - Elsevier
We investigate the performance of the finite volume method in solving viscoplastic flows. The
creeping square lid-driven cavity flow of a Bingham plastic is chosen as the test case and …

Stabilized edge‐based finite element simulation of free‐surface flows

RN Elias, ALGA Coutinho - International Journal for Numerical …, 2007 - Wiley Online Library
Free‐surface flows occur in several problems in hydrodynamics, such as fuel or water
sloshing in tanks, waves breaking in ships, offshore platforms, harbours and coastal areas …

Performance of the finite volume method in solving regularised Bingham flows: Inertia effects in the lid-driven cavity flow

A Syrakos, GC Georgiou, AN Alexandrou - Journal of Non-Newtonian Fluid …, 2014 - Elsevier
We extend our recent work on the creeping flow of a Bingham fluid in a lid-driven cavity, to
the study of inertial effects, using a finite volume method and the Papanastasiou …

An iterative method for the Stokes-type problem with variable viscosity

PP Grinevich, MA Olshanskii - SIAM Journal on Scientific Computing, 2009 - SIAM
This paper concerns an iterative technique for solving discretized Stokes-type equations
with varying viscosity coefficient. We build a special block preconditioner for the discrete …

A variational multiscale stabilized formulation for the incompressible Navier–Stokes equations

A Masud, R Calderer - Computational Mechanics, 2009 - Springer
This paper presents a variational multiscale residual-based stabilized finite element method
for the incompressible Navier–Stokes equations. Structure of the stabilization terms is …

Highly parallelisable simulations of time-dependent viscoplastic fluid flow with structured adaptive mesh refinement

K Sverdrup, N Nikiforakis, A Almgren - Physics of Fluids, 2018 - pubs.aip.org
We present the extension of an efficient and highly parallelisable framework for
incompressible fluid flow simulations to viscoplastic fluids. The system is governed by …

Analysis of semi-staggered finite-difference method with application to Bingham flows

MA Olshanskii - Computer Methods in Applied Mechanics and …, 2009 - Elsevier
In this paper, a finite-difference scheme for incompressible flow problems is treated. The
scheme uses non-staggered grid for velocity approximation. A special stabilization is …

Cascaded lattice Boltzmann modeling and simulations of three-dimensional non-Newtonian fluid flows

S Adam, F Hajabdollahi, KN Premnath - Computer Physics …, 2021 - Elsevier
Non-Newtonian fluid flows, especially in three dimensions (3D), arise in numerous settings
of interest to physics. Prior studies using the lattice Boltzmann method (LBM) of such flows …

Edge‐based finite element implementation of the residual‐based variational multiscale method

EF Lins, RN Elias, GM Guerra… - … Methods in Fluids, 2009 - Wiley Online Library
In this work we extend our edge‐based stabilized finite element incompressible flow solver
to turbulence modeling with the residual‐based variational multiscale (RB‐VMS) method …

Parallel implementation of the finite element method using compressed data structures

FLB Ribeiro, IA Ferreira - Computational Mechanics, 2007 - Springer
This paper presents a parallel implementation of the finite element method designed for
coarse-grain distributed memory architectures. The MPI standard is used for message …