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Analytical techniques - experience

Physically-based techniques

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Prof Holger Babinsky

 

Dimensional analysis

  • development of simple models across aerodynamics

Scaling arguments

  • development of simple models across aerodynamics

Empirical modelling

  • development of simple models across aerodynamics

Reduced models

  • development of simple models across aerodynamics

 


 

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Dr Silvana Cardoso

 

Dimensional analysis

  • plumes/thermals/porous media with chemical reaction

Scaling arguments

  • plumes/thermals/porous media with chemical reaction

Reduced models

  • plumes/thermals/porous media with chemical reaction

 


 

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Prof Mike Cates

 

Scaling arguments

  • scaling laws for phase separation, coarsening, correlation lengths

Empirical modelling

  • constitutive modelling of complex fluids

Reduced models

  • continuum models derived by coarse graining of molecular descriptions

 


 

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Dr Alex Copley

 

Dimensional analysis

Scaling arguments

 


 

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Dr Stephen Cowley

 

Scaling arguments

  •  

 


 

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Dr Bart Hallmark

 

Reduced models

  • basic application of Giesekus & upper convected Maxwell constitutive equations to capillary thinning

 


 

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Prof Simone Hochgreb

 

Dimensional analysis

Scaling arguments

Empirical modelling

Reduced models

 


 

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Prof Marian Holness

 

Empirical modelling

  • simple models to place order-of-magnitude constraints on timescales and length scales

 


 

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Prof Matthew Juniper

 

Dimensional analysis

  • general use of the technique

Scaling arguments

  • general use of the technique

Reduced models

  • development and use of low order models

 


 

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Dr Iris Möller

 

Empirical modelling

  • wind-generated water wave dissipation in shallow water over vegetated surfaces

Reduced models

  • wind-generated water wave dissipation in shallow water over vegetated surfaces

 


 

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Dr Alex Routh

 

Dimensional analysis

Scaling arguments

 


 

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Dr John Rudge

 

Dimensional analysis

Scaling arguments

Empirical modelling

Reduced models

 


 

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Prof Paul Tucker

 

Reduced models

  • distributed actuator disc models for fans and compressors

 


 

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Dr Nathalie Vriend

 

Empirical modelling

  • mathematical models of granular systems derived from experiments

 


 

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Prof Ian Wilson

 

Dimensional analysis

Empirical modelling

Reduced models

  • development of phenomenological models for processes

 


 

 

Approximate methods

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Dr Silvana Cardoso

 

Perturbation techniques

  • plumes/thermals/porous media with chemical reaction

 


 

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Dr Stephen Cowley

 

Perturbation techniques

  •  

Asymptotic expansions

  •  

 


 

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Dr Otti Croze

 

Asymptotic expansions

  • asymptotic expressions for the transport of swimming algae in flows

 


 

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Prof Matthew Juniper

 

Perturbation techniques

  • stability analysis

 


 

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Dr Alex Routh

 

Perturbation techniques

  •  

Asymptotic expansions

  •  

 


 

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Dr John Rudge

 

Perturbation techniques

  •  

 


 

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Dr Christopher Tout

 

Perturbation techniques

  • Evolution of angular momentum and magnetic fields in stars

 


 

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Prof Ian Wilson

 

Perturbation techniques

  • occasional use

 


 

 

Stochastic techniques

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Prof Mike Cates

 

  • thermal and other noise in simple and complex fluids; statistical mechanics

 


 

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Dr Otti Croze

 

 

  • stochastic analytical and numerical methods to study swimmer suspensions

 


 

 

General methods

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Dr Stephen Cowley

 

Complex analysis

  •  

 


 

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Prof Matthew Juniper

 

Complex analysis

  • integration in the complex plane for local stability analysis

Variational methods

  • constrained optimization with Lagrangian functionals

 


 

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