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
Space-time finite element methods for elastodynamics: formulations and error estimates
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
Computer Methods in Applied Mechanics and Engineering
On the Nonnormality of Subiteration for a Fluid-Structure-Interaction Problem
SIAM Journal on Scientific Computing
SIAM Journal on Numerical Analysis
Space---time SUPG finite element computation of shallow-water flows with moving shorelines
Computational Mechanics
A parallel sparse algorithm targeting arterial fluid mechanics computations
Computational Mechanics
Stabilized space---time computation of wind-turbine rotor aerodynamics
Computational Mechanics
Accurate fluid-structure interaction computations using elements without mid-side nodes
Computational Mechanics
Space---time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters
Computational Mechanics
A Fully Eulerian formulation for fluid-structure-interaction problems
Journal of Computational Physics
Parallel BDD-based monolithic approach for acoustic fluid-structure interaction
Computational Mechanics
A finite-element/boundary-element method for large-displacement fluid-structure interaction
Computational Mechanics
Fluid---structure interaction modeling of wind turbines: simulating the full machine
Computational Mechanics
Patient-specific computer modeling of blood flow in cerebral arteries with aneurysm and stent
Computational Mechanics
Space---time computation techniques with continuous representation in time (ST-C)
Computational Mechanics
Space---time VMS computation of wind-turbine rotor and tower aerodynamics
Computational Mechanics
Fluid---structure interaction simulation of pulsatile ventricular assist devices
Computational Mechanics
On numerical modeling of animal swimming and flight
Computational Mechanics
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We present the multiscale space---time techniques we have developed for fluid---structure interaction (FSI) computations. Some of these techniques are multiscale in the way the time integration is performed (i.e. temporally multiscale), some are multiscale in the way the spatial discretization is done (i.e. spatially multiscale), and some are in the context of the sequentially-coupled FSI (SCFSI) techniques developed by the Team for Advanced Flow Simulation and Modeling $${({\rm T} \bigstar {\rm AFSM})}$$ . In the multiscale SCFSI technique, the FSI computational effort is reduced at the stage we do not need it and the accuracy of the fluid mechanics (or structural mechanics) computation is increased at the stage we need accurate, detailed flow (or structure) computation. As ways of increasing the computational accuracy when or where needed, and beyond just increasing the mesh refinement or decreasing the time-step size, we propose switching to more accurate versions of the Deforming-Spatial-Domain/Stabilized Space---Time (DSD/SST) formulation, using more polynomial power for the basis functions of the spatial discretization or time integration, and using an advanced turbulence model. Specifically, for more polynomial power in time integration, we propose to use NURBS, and as an advanced turbulence model to be used with the DSD/SST formulation, we introduce a space---time version of the residual-based variational multiscale method. We present a number of test computations showing the performance of the multiscale space---time techniques we are proposing. We also present a stability and accuracy analysis for the higher-accuracy versions of the DSD/SST formulation.