Eric W. Hester
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View article: Magneto-Stokes flow in a shallow free-surface annulus
Magneto-Stokes flow in a shallow free-surface annulus Open
In this study, we analyse ‘magneto-Stokes’ flow, a fundamental magnetohydrodynamic (MHD) flow that shares the cylindrical-annular geometry of the Taylor–Couette cell but uses applied electromagnetic forces to circulate a free-surface layer…
View article: Fluid dynamics alters liquid–liquid phase separation in confined aqueous two-phase systems
Fluid dynamics alters liquid–liquid phase separation in confined aqueous two-phase systems Open
Liquid–liquid phase separation is key to understanding aqueous two-phase systems (ATPS) arising throughout cell biology, medical science, and the pharmaceutical industry. Controlling the detailed morphology of phase-separating compound dro…
View article: Magneto-Stokes Flow in a Shallow Free-Surface Annulus
Magneto-Stokes Flow in a Shallow Free-Surface Annulus Open
In this study, we analyse "magneto-Stokes" flow, a fundamental magnetohydrodynamic (MHD) flow that shares the cylindrical-annular geometry of the Taylor-Couette cell, but uses applied electromagnetic forces to circulate a free-surface laye…
View article: Fluid dynamics alters liquid-liquid phase separation in confined aqueous two-phase systems
Fluid dynamics alters liquid-liquid phase separation in confined aqueous two-phase systems Open
Liquid-liquid phase separation is key to understanding aqueous two-phase systems (ATPS) arising throughout cell biology, medical science, and the pharmaceutical industry. Controlling the detailed morphology of phase-separating compound dro…
View article: Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces
Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces Open
We provide an elementary derivation of an orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. We go beyond previous works on the signed-distance function and co…
View article: Double‐Diffusive Layer and Meltwater Plume Effects on Ice Face Scalloping in Phase‐Change Simulations
Double‐Diffusive Layer and Meltwater Plume Effects on Ice Face Scalloping in Phase‐Change Simulations Open
Antarctic ice shelves are losing mass at increasing rates, yet the ice‐ocean interactions that cause significant ice loss are not well understood. A new approach of high‐resolution phase‐change simulations is used to model vertical ice mel…
View article: Model output from Wilson et al paper
Model output from Wilson et al paper Open
Model output used in the publication by N. J. Wilson, C. A. Vreugdenhil, B. Gayen, E W. Hester (submitted for review).
View article: Model output from Wilson et al paper
Model output from Wilson et al paper Open
Model output used in the publication by N. J. Wilson, C. A. Vreugdenhil, B. Gayen, E W. Hester (submitted for review).
View article: Model output from Wilson et al paper
Model output from Wilson et al paper Open
Model output used in the publication by N. J. Wilson, C. A. Vreugdenhil, B. Gayen, E W. Hester (submitted for review).
View article: Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces
Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces Open
We provide an elementary derivation of an orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. We go beyond previous works on the signed-distance function and co…
View article: Mathematica code to generate figure 3 from Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces
Mathematica code to generate figure 3 from Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces Open
We provide an elementary derivation of an orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. We go beyond previous works on the signed-distance function and co…
View article: Mathematica code to generate figure 1 from Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces
Mathematica code to generate figure 1 from Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces Open
We provide an elementary derivation of an orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. We go beyond previous works on the signed-distance function and co…
View article: Mathematica code to generate figure 2 from Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces
Mathematica code to generate figure 2 from Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces Open
We provide an elementary derivation of an orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. We go beyond previous works on the signed-distance function and co…
View article: Mathematica derivation of signed-distance coordinates around curves from Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces
Mathematica derivation of signed-distance coordinates around curves from Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces Open
We provide an elementary derivation of an orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. We go beyond previous works on the signed-distance function and co…
View article: Mathematica derivation of signed-distance coordinates for surfaces from Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces
Mathematica derivation of signed-distance coordinates for surfaces from Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces Open
We provide an elementary derivation of an orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. We go beyond previous works on the signed-distance function and co…
View article: Moosinesq Convection in the Cores of Moosive Stars
Moosinesq Convection in the Cores of Moosive Stars Open
Stars with masses $\gtrsim 4 \times 10^{27}M_{\rm{moose}} \approx 1.1 M_\odot$ have core convection zones during their time on the main sequence. In these moosive stars, convection introduces many uncertainties in stellar modeling. In this…
View article: On the stability of shocks in isothermal black hole accretion discs
On the stability of shocks in isothermal black hole accretion discs Open
Most black holes possess accretion discs. Models of such discs inform observations and constrain the properties of the black holes and their surrounding medium. Here, we study shocks in a thin isothermal black hole accretion flow. Modellin…
View article: On the stability of isothermal shocks in black hole accretion disks
On the stability of isothermal shocks in black hole accretion disks Open
Most black holes possess accretion disks. Models of such disks inform observations and constrain the properties of the black holes and their surrounding medium. Here, we study isothermal shocks in a thin black hole accretion flow. Modellin…
View article: Topography generation by melting and freezing in a turbulent shear flow
Topography generation by melting and freezing in a turbulent shear flow Open
We report an idealized numerical study of a melting and freezing solid adjacent to a turbulent, buoyancy-affected shear flow, in order to improve our understanding of topography generation by phase changes in the environment. We use the ph…
View article: Improved phase-field models of melting and dissolution in multi-component flows
Improved phase-field models of melting and dissolution in multi-component flows Open
We develop and analyse the first second-order phase-field model to combine melting and dissolution in multi-component flows. This provides a simple and accurate way to simulate challenging phase-change problems in existing codes. Phase-fie…
View article: Ice melting in a turbulent stratified shear flow
Ice melting in a turbulent stratified shear flow Open
<p>In this talk I will present preliminary results of direct numerical simulations of ice melting in a turbulent stratified shear flow. The model solves the evolution of the turbulent fluid phase and of the diffusive solid ice phase,…
View article: Bistability in Rayleigh-Bénard convection with a melting boundary
Bistability in Rayleigh-Bénard convection with a melting boundary Open
A pure and incompressible material is confined between two plates such that\nit is heated from below and cooled from above. When its melting temperature is\ncomprised between these two imposed temperatures, an interface separating\nliquid …