An efficient and stable finite element solver of higher order in space and time for nonstationary incompressible flow

S Hussain, F Schieweck, S Turek - International Journal for …, 2013 - Wiley Online Library
In this paper, we present fully implicit continuous Galerkin–Petrov (cGP) and discontinuous
Galerkin (dG) time‐stepping schemes for incompressible flow problems which are, in …

Mixed convection in alumina-water nanofluid filled lid-driven square cavity with an isothermally heated square blockage inside with magnetic field effect: Introduction

K Mehmood, S Hussain, M Sagheer - … Journal of Heat and Mass Transfer, 2017 - Elsevier
In this work, mixed convection in alumina-water nanofluid filled lid-driven square cavity with
an isothermally heated square blockage inside with magnetic field effect has been …

Effects of inclination angle on mixed convective nanofluid flow in a double lid-driven cavity with discrete heat sources

S Hussain, S Ahmad, K Mehmood… - International Journal of …, 2017 - Elsevier
In the present study, numerical simulations are performed to examine the effect of inclination
angle on the heat transfer of Al 2 O 3–water nanofluid for mixed convection flows in a …

Efficient Newton-multigrid solution techniques for higher order space–time Galerkin discretizations of incompressible flow

S Hussain, F Schieweck, S Turek - Applied Numerical Mathematics, 2014 - Elsevier
In this paper, we discuss solution techniques of Newton-multigrid type for the resulting
nonlinear saddle-point block-systems if higher order continuous Galerkin–Petrov (cGP (k)) …

A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems

H Damanik, J Hron, A Ouazzi, S Turek - Journal of Non-Newtonian Fluid …, 2010 - Elsevier
In this work, we discuss special numerical techniques for viscoelastic flow problems given in
log-conformation reformulation (LCR). In particular, we consider Oldroyd-B and Giesekus …

[图书][B] Methods for Computational Fluid Dynamics: A Practical Guide

D Kuzmin, J Hämäläinen - 2014 - SIAM
Computational fluid dynamics (CFD) is the art of solving partial differential equations that
model the motion of fluids, as well as mass and heat transfer phenomena. This book …

Variational discretization for optimal control governed by convection dominated diffusion equations

M Hinze, N Yan, Z Zhou - Journal of Computational Mathematics, 2009 - JSTOR
In this paper, we study variational discretization for the constrained optimal control problem
governed by convection dominated diffusion equations, where the state equation is …

On the modeling of the synovial fluid

J Hron, J Málek, P Pustějovská… - Advances in …, 2010 - Wiley Online Library
Synovial fluid is a polymeric liquid which generally behaves as a viscoelastic fluid due to the
presence of hyaluronan molecules. We restrict ourselves to the regime in which the fluid …

Algebraic flux correction II: Compressible flow problems

D Kuzmin, M Möller, M Gurris - Flux-Corrected Transport: Principles …, 2012 - Springer
Flux limiting for hyperbolic systems requires a careful generalization of the design principles
and algorithms introduced in the context of scalar conservation laws. In this chapter, we …

Numerical simulations of the square lid driven cavity flow of Bingham fluids using nonconforming finite elements coupled with a direct solver

R Mahmood, N Kousar, M Yaqub… - Advances in …, 2017 - Wiley Online Library
In this paper, numerical simulations are performed in a single and double lid driven square
cavity to study the flow of a Bingham viscoplastic fluid. The governing equations are …