3D particle shape modelling and optimization through proper orthogonal decomposition

Proper Orthogonal Decomposition and Particle Image Velocimetry in Bat Flight

Correct models of complex flight, such as bat flight, have the potential to foster significant new discoveries in the biological evolution of flight. These models may also provide insight useful for engineering flight vehicles with increased maneuverability and in-flight sensing capabilities. To construct these models, one needs to understand and represent both the complex motion of bat wings i...

Proper Orthogonal Decomposition: Applications in Optimization and Control

Modelling Velocity Structures In Turbulent Floods Using Proper Orthogonal Decomposition

There are various techniques available to model the turbulence structure. Turbulence of incompressible water flow (without sediment) can be modelled completely using the Navier-Stokes equations. However for even a small part of a river channel, the size of the problem is many orders of magnitude larger than even the world’s largest super-computers can handle. This means that other techniques ar...

Artificial viscosity proper orthogonal decomposition

We introduce improved reduced-order models for turbulent flows. These models are inspired from successful methodologies used in large eddy simulation, such as artificial viscosity, applied to standardmodels created by proper orthogonal decomposition of flows coupled with Galerkin projection. As a first step in the analysis and testing of our new methodology, we use the Burgers equation with a s...

Dimensionality reduction of parameter-dependent problems through proper orthogonal decomposition

The numerical solution of partial differential equations (PDEs) depending on parametrized or random input data is computationally intensive. Reduced order modeling techniques, such as the reduced basis methods, have been developed to alleviate this computational burden, and are nowadays exploited to accelerate real-time analysis, as well as the solution of PDE-constrained optimization and inver...