GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
A ghost-cell immersed boundary method for flow in complex geometry
Journal of Computational Physics
An immersed interface method for simulating the interaction of a fluid with moving boundaries
Journal of Computational Physics
Journal of Computational Physics
Modelling of non-Newtonian fluids
Mathematics and Computers in Simulation
Journal of Computational Physics
Stabilized space---time computation of wind-turbine rotor aerodynamics
Computational Mechanics
Multiscale space---time fluid---structure interaction techniques
Computational Mechanics
Space---time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters
Computational Mechanics
Patient-specific computer modeling of blood flow in cerebral arteries with aneurysm and stent
Computational Mechanics
Simulation of a pulsatile non-Newtonian flow past a stenosed 2D artery with atherosclerosis
Computers in Biology and Medicine
On numerical modeling of animal swimming and flight
Computational Mechanics
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This work presents an extension of the Deforming-Spatial-Domain/Stabilized Space---Time (DSD/SST) method to non-Newtonian fluid flow and heat transfer with moving boundaries. In this method, the variational formulation is written over the space---time domain. Three sets of stabilization parameters are used for the continuity, momentum and thermal energy equations. The more efficient solution for highly non-linear problems is achieved by using the Newton---Raphson iterative method for non-linear terms and the generalized minimal residual method for algebraic equations. This work makes the computations feasible with third-order accuracy in time, which is higher then most versions of the FEM. To validate this method, it is used to solve the well-known benchmark problems such as channel-confined flow, lid-driven cavity, flow around a cylinder, and flow in channel with wavy wall, where the non-Newtonian fluid rheological behaviour is incorporated. In particular, the results in terms of the Nusselt number, wall shear stress (WSS), vorticity fields and streamlines are discussed. It shows that the flow and heat transfer characteristics are quite different if the moving boundaries are taken into account. In summary, this work provides an effective extension of the DSD/SST method to hydrodynamics and heat transfer problems involving complex fluids and moving boundaries.