51 citations · 289 across the 34 of their papers we have counts for
37 papers
An enthalpy-based model for the physics of ice crystal icing
Timothy Peters, Josh Shelton, Hui Tang +1
Ice crystal icing (ICI) in aircraft engines is a major threat to flight safety. Due to the complex thermodynamic and phase-change conditions involved in ICI, rigorous modelling of…
On the selection of Saffman-Taylor viscous fingers for divergent flow in a wedge
Cecile Andersen, Christopher J. Lustri, Scott W. McCue +1
We study self-similar viscous fingering for the case of divergent flow within a wedge-shaped Hele-Shaw cell. Previous authors have conjectured the existence of a countably-infinite…
Exponential asymptotics and Stokes surfaces in nonlinear three-dimensional flows
John A. Fitzgerald, Philippe H. Trinh
In this dissertation, we seek to expand the scope of work done by Lustri and Chapman (2013) in modelling 3D flow past a point source, in order to account for more general flows, wh…
Time-dependent nonlinear gravity-capillary surface waves with viscous dissipation and wind forcing
Josh Shelton, Paul Milewski, Philippe H. Trinh
We develop a time-dependent conformal method to study the effect of viscosity on steep surface waves. When the effect of surface tension is included, numerical solutions are found…
Pathologies of low-Froude free-surface flows over smoothed bodies
Yyanis Johnson-Llambias, Philippe H. Trinh
In the study of low-speed or low-Froude flows of a potential gravity-driven fluid past a wave-generating object, the traditional asymptotic expansion in powers of the Froude number…
A calibration-free physicality-based model for predicting peak river flows
Piotr Morawiecki, Philippe H. Trinh
Many simple hydrologic models are based on parametric statistical relations between the river flow and catchment properties such as its area, precipitation rates, soil properties,…
On the evaluation of grid and grid-to-grid rainfall-runoff models and their differences with physical benchmarks
Piotr Morawiecki, Philippe H. Trinh
In the first part of our study, we demonstrated how a simple physical benchmark model can be used to assess assumptions of the conceptual models, based on a lumped Probability Dist…
Asymptotic differences between a lumped probability-distributed rainfall-runoff model and a physical benchmark model
Piotr Morawiecki, Philippe H. Trinh
Typically, physical and conceptual rainfall-runoff models are developed independently and are based on different, though not entirely incompatible, governing principles. In this wo…
A model ODE for the exponential asymptotics of nonlinear parasitic capillary ripples
Josh Shelton, Philippe Trinh
In this work, we develop a linear model ODE to study the parasitic capillary ripples present on steep Stokes waves when a small amount of surface tension is included in the formula…
Exponential asymptotics and higher-order Stokes phenomenon in singularly perturbed ODEs
Josh Shelton, Samuel Crew, Philippe H. Trinh
The higher-order Stokes phenomenon can emerge in the asymptotic analysis of many problems governed by singular perturbations. Indeed, over the last two decades, the phenomena has a…
Pathological exponential asymptotics for a model problem of an equatorially trapped Rossby wave
Josh Shelton, S. Jonathan Chapman, Philippe H. Trinh
We examine a misleadingly simple linear second-order eigenvalue problem (the Hermite-with-pole equation) that was previously proposed as a model problem of an equatorially-trapped…
On the development and analysis of coupled surface-subsurface models of catchments. Part 2. A three-dimensional benchmark model and its properties
Piotr Morawiecki, Philippe H. Trinh
The objective of this three-part work is to formulate and rigorously analyse a number of reduced mathematical models that are nevertheless capable of describing the hydrology at th…
On the development and analysis of coupled surface-subsurface models of catchments. Part 3. Analytical solutions and scaling laws
Piotr Morawiecki, Philippe H. Trinh
The objective of this three-part work is to formulate and rigorously analyse a number of reduced mathematical models that are nevertheless capable of describing the hydrology at th…
On the development and analysis of coupled surface-subsurface models of catchments. Part 1. Analysis of dimensions and parameters for UK catchments
Piotr Morawiecki, Philippe H. Trinh
The objective of this three-part work is to formulate and rigorously analyse a number of reduced mathematical models that are nevertheless capable of describing the hydrology at th…
Exponential asymptotics and the generation of free-surface flows by submerged line vortices
Josh Shelton, Philippe H. Trinh
There has been significant recent interest in the study of water waves coupled with non-zero vorticity. We derive analytical approximations for the exponentially-small free-surface…
Resurgent aspects of applied exponential asymptotics
Samuel Crew, Philippe H. Trinh
In many physical problems, it is important to capture exponentially-small effects that lie beyond-all-orders of a typical asymptotic expansion; when collected, the full expansion i…
Exponential asymptotics for steady parasitic capillary ripples on steep gravity waves
Josh Shelton, Philippe H. Trinh
In this paper we develop an asymptotic theory for steadily travelling gravity-capillary waves under the small-surface tension limit. In an accompanying work [Shelton et al. (2021),…
The ventilation of buildings and other mitigating measures for COVID-19: a focus on winter 2020
RAMP Task 7 Members
This report reviews knowledge of the tranmission of COVID-19 indoors, reviews mitigating measures, and considers the implications for winter 2020.
Three-dimensional exponential asymptotics and Stokes surfaces for flows past a submerged point source
Yyanis Johnson-Llambias, John Fitzgerald, Philippe H. Trinh
When studying fluid-body interactions in the low-Froude limit, traditional asymptotic theory predicts a waveless free-surface at every order. This is due to the fact that the waves…
On the structure of parasitic gravity-capillary waves in the small surface tension limit
Josh Shelton, Paul Milewski, Philippe H. Trinh
In this paper, we examine the formation of small capillary waves (parasitic ripples) on the surface of steep steadily-travelling gravity waves. Previously, authors have developed a…
Exponential asymptotics for the eigenvalues in the broken PT-symmetric region
S. Jonathan Chapman, Philippe H. Trinh
Stemming from the seminal work of Bender & Boettcher in 1998 (Phys. Rev. Lett. vol. 80 pp. 5243-5246), there has been great interest in the study of PT-symmetric models of quantum…
Gravity-capillary waves in reduced models for wave-structure interactions
Sean Jamshidi, Philippe H. Trinh
In order to determine the steady-state subcritical gravity-capillary waves that are produced by potential flow past a wave-making body, it is typically necessary to impose a radiat…
Shear-induced instabilities of flows through submerged vegetation
Clint Y. H. Wong, Philippe H. Trinh, S. Jonathan Chapman
We consider the instabilities of flows through a submerged canopy, and show how the full governing equations of the fluid-structure interactions can be reduced to a compact framewo…
The influence of van der Waals interactions on a bubble moving in a tube
Naima H. Hammoud, Philippe H. Trinh, Peter D. Howell +1
We consider the unsteady thin-film dynamics of a long bubble of negligible viscosity that advances at a uniform speed in a cylindrical capillary tube. The bubble displaces a viscou…