Summary The Gram–Schmidt process uses orthogonal projection to construct the A= QR
factorization of a matrix. When Q has linearly independent columns, the operator P= I− Q …

Predictive high‐fidelity modeling of wind turbines with computational fluid dynamics,
wherein turbine geometry is resolved in an atmospheric boundary layer, is important to …

This study on overset meshes for incompressible-flow simulations is motivated by accurate
prediction of wind farm aerodynamics involving large motions and deformations of …

The US Department of Energy has identified exascale-class wind farm simulation as critical
to wind energy scientific discovery. A primary objective of the ExaWind project is to build …

This report describes the results of the fourth phase of IEA Task 29 on wind turbine
aerodynamics. This fourth phase, like the first 3 phases (denoted as Mexnext-I to Mexnext-III) …

This paper presents a scalable approximate block factorization preconditioner for mixed-
dimensional models in beam-solid interaction and their application in engineering. In …

As the world's population is expected to increase, so is the global demand for food.
Sustainable intensification via precision agriculture of existing farms can increase crop …

Sparse linear iterative solvers are essential for many large-scale simulations. Much of the
runtime of these solvers is often spent in the implicit evaluation of matrix polynomials via a …

We address the numerical solution of linear systems arising from the hybrid discretizations of
second-order elliptic partial differential equations. Such discretizations hinge on a hybrid set …

In this study, we introduce algorithms optimized for GPU architectures, aimed at efficiently
solving large sparse linear systems, a central challenge in Navier–Stokes pressure …