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
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
Methods for parallel computation of complex flow problems
Parallel Computing - Special Anniversary issue
On the Nonnormality of Subiteration for a Fluid-Structure-Interaction Problem
SIAM Journal on Scientific Computing
Blood vessel tissue prestress modeling for vascular fluid-structure interaction simulation
Finite Elements in Analysis and Design
A parallel sparse algorithm targeting arterial fluid mechanics computations
Computational Mechanics
Stabilized space---time computation of wind-turbine rotor aerodynamics
Computational Mechanics
Multiscale space---time fluid---structure interaction techniques
Computational Mechanics
Accurate fluid-structure interaction computations using elements without mid-side nodes
Computational Mechanics
Fluid---structure interaction modeling of wind turbines: simulating the full machine
Computational Mechanics
Space---time computation techniques with continuous representation in time (ST-C)
Computational Mechanics
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We present the space---time variational multiscale (ST-VMS) computation of wind-turbine rotor and tower aerodynamics. The rotor geometry is that of the NREL 5MW offshore baseline wind turbine. We compute with a given wind speed and a specified rotor speed. The computation is challenging because of the large Reynolds numbers and rotating turbulent flows, and computing the correct torque requires an accurate and meticulous numerical approach. The presence of the tower increases the computational challenge because of the fast, rotational relative motion between the rotor and tower. The ST-VMS method is the residual-based VMS version of the Deforming-Spatial-Domain/Stabilized ST (DSD/SST) method, and is also called "DSD/SST-VMST" method (i.e., the version with the VMS turbulence model). In calculating the stabilization parameters embedded in the method, we are using a new element length definition for the diffusion-dominated limit. The DSD/SST method, which was introduced as a general-purpose moving-mesh method for computation of flows with moving interfaces, requires a mesh update method. Mesh update typically consists of moving the mesh for as long as possible and remeshing as needed. In the computations reported here, NURBS basis functions are used for the temporal representation of the rotor motion, enabling us to represent the circular paths associated with that motion exactly and specify a constant angular velocity corresponding to the invariant speeds along those paths. In addition, temporal NURBS basis functions are used in representation of the motion and deformation of the volume meshes computed and also in remeshing. We name this "ST/NURBS Mesh Update Method (STNMUM)." The STNMUM increases computational efficiency in terms of computer time and storage, and computational flexibility in terms of being able to change the time-step size of the computation. We use layers of thin elements near the blade surfaces, which undergo rigid-body motion with the rotor. We compare the results from computations with and without tower, and we also compare using NURBS and linear finite element basis functions in temporal representation of the mesh motion.