46 citations · 146 across the 16 of their papers we have counts for
19 papers
Generalised actuator disk theory: wake development with turbulent entrainment
Majid Bastankhah, Peter E. Hydon, Carl Shapiro +2
Classical actuator disk theory, developed more than a century ago, provides an idealised description of turbine rotor performance. It treats a rotor as an infinitesimally-thin perm…
Conservation laws that depend on functions and PDE reduction: extending Noether
Peter E. Hydon, John R. King
This paper develops methods for simplifying systems of partial differential equations that have families of conservation laws which depend on functions of the independent or depend…
Modelling turbulence in axisymmetric wakes: an application to wind turbine wakes
Majid Bastankhah, Jenna K. Zunder, Peter Hydon +2
A novel fast-running model is developed to predict the three-dimensional (3D) distribution of turbulent kinetic energy (TKE) in axisymmetric wake flows. This is achieved by mathema…
Moving Frames: Difference and Differential-Difference Lagrangians
Lewis C. White, Peter E. Hydon
This paper develops moving frame theory for partial difference equations and for differential-difference equations with one continuous independent variable. In each case, the theor…
The difference variational bicomplex and multisymplectic systems
Linyu Peng, Peter E. Hydon
The difference variational bicomplex, which is the natural setting for systems of difference equations, is constructed and used to examine the geometric and algebraic properties of…
Partial Euler operators and the efficient inversion of Div
Peter E. Hydon
The problem of inverting the total divergence operator is central to finding components of a given conservation law. This might not be taxing for a low-order conservation law of a…