We present an LES-type variational multiscale theory of turbulence. Our approach derives
completely from the incompressible Navier–Stokes equations and does not employ any ad …

Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …

Weakly enforced Dirichlet boundary conditions are compared with strongly enforced
conditions for boundary layer solutions of the advection–diffusion equation and …

The book aims to provide the reader with an updated general presentation of multiscale/
multiresolution approaches in turbulent flow simulations. All modern approaches (LES …

The present article reviews the variational multiscale method as a framework for the
development of computational methods for the simulation of laminar and turbulent flows …

We present an application of the residual-based variational multiscale turbulence modeling
(RBVMS) methodology to the computation of turbulent Taylor–Couette flow at high Reynolds …

This chapter presents an introduction to multiscale and stabilized methods, which represent
unified approaches to modeling and numerical solution of fluid dynamic phenomena. Finite …

In this work, we combine (i) NURBS-based isogeometric analysis,(ii) residual-driven
turbulence modeling and iii) weak imposition of no-slip and no-penetration Dirichlet …

We derive an explicit formula for the fine-scale Green's function arising in variational
multiscale analysis. The formula is expressed in terms of the classical Green's function and a …

The objective of this paper is to show that use of the element-vector-based definition of
stabilization parameters, introduced in [TE Tezduyar, Computation of moving boundaries …