In this paper we revive a special, less-common, variational principle in analytical mechanics
(Hertz'principle of least curvature) to develop a novel variational analogue of Euler's …

We utilize the notion of kinetic energy instability due to Reynolds and Orr to examine
instability of steady flow past a bluff body subject to slip boundary conditions with friction. We …

Code generation technology has been transformative to the field of numerical partial
differential equations (PDEs), allowing domain scientists and engineers to automatically …

In this paper, we present a variational theory of lift that, unlike Kutta's theory, is derived from
first principles in mechanics: Hertz's principle of least curvature. In this theory, the unique …

Because of the continuous variability of the ambient environment, all aircraft would benefit
from an in situ optimized wing. This paper proposes a method for preliminary design of …

This work presents a Fluid–Structure Interaction framework for the robust and efficient
simulation of strongly coupled problems involving arbitrary large displacements and …

We introduce a residual-based stabilized formulation for incompressible Navier–Stokes flow
that maintains discrete (and, for divergence-conforming methods, strong) mass conservation …

These notes are the outcome of some courses taught to undergraduate and graduate
students from the University of Western Australia, the Pontif\'{\i} cia Universidade Cat\'olica …

Turbulence is a long-standing mystery. We survey some of the existing (and sometimes
contradictory) results and suggest eight natural questions whose answers would increase …

This work describes a novel formulation for the simulation of Navier–Stokes problems
including embedded objects. The new proposal is based on the use of a modified finite …