11/02/2021
The Human Resources Strategy for Researchers

Nonlinear internal waves in the presence of bathymetry (PARAUE_U21SF)

This job offer has expired


  • ORGANISATION/COMPANY
    University of East Anglia
  • RESEARCH FIELD
    EngineeringOther
    MathematicsApplied mathematics
    PhysicsOther
  • RESEARCHER PROFILE
    First Stage Researcher (R1)
  • APPLICATION DEADLINE
    31/05/2021 23:00 - Europe/London
  • LOCATION
    United Kingdom › Norwich
  • TYPE OF CONTRACT
    Other
  • JOB STATUS
    Other
  • OFFER STARTING DATE
    01/10/2021

OFFER DESCRIPTION

We propose to investigate waves which propagate at the interface of two fluids of different densities. These types of waves occur in many places in oceans or fjords [1], and at smaller scales [4]. The upper fluid is assumed to be bounded above by a rigid lid or a free surface and the lower fluid is flowing over non-uniform bottom topography. A current can also be present in the fluid and can interact with the waves. Two-dimensional and three-dimensional waves will be computed using a variety of numerical methods, such as boundary integral techniques [2,3]. The effect of surface tension [5] or of an elastic plate on the interface on the waves will be considered and solitary waves will also be sought. The evolution in time of the solutions will be investigated. Weakly-nonlinear equations will also be derived and their solutions will be compared with the numerical findings. Experimental data will be analysed using the theoretical results. 

 

References:

[1] P. Baines, Topographic Effects in Stratified Flows, Cambridge Univeristy Press, 1997. 

[2] E.I. Parau, J.-M. Vanden-Broeck, M. J. Cooker, Nonlinear three-dimensional interfacial flows with a free surface, J. Fluid Mechanics,591(2007), 481-494. 

[3] O. Trichtchenko, E. I. Parau, J.-M. Vanden-Broeck, P. Milewski, Solitary flexural–gravity waves in three dimensions, Phil. Trans. Royal Soc. A 376, 2129 (2018), 20170345 

[4]  Z. Wang, E.I. Parau, P. Milewski, J.-M. Vanden-Broeck, Numerical study of interfacial solitary waves propagating under an elastic sheet, Proc. Roy. Soc.A 470 (2014), 20140111  

[5] H. Woolfenden, E.I. Parau,  Numerical computation of solitary waves in a two-layer fluids, J. Fluid Mech. 688(2011), 528-550

 

Funding Notes:

This PhD project is offered on a self-funding basis.  It is open to applicants with funding or those applying to funding sources.  Details of tuition fees can be found at https://www.uea.ac.uk/about/university-information/finance-and-procurement/finance-information-for-students/tuition-fees 

 

A bench fee is also payable on top of the tuition fee to cover specialist equipment or laboratory costs required for the research.  Applicants should contact the primary supervisor for further information about the fee associated with the project. 

  

More Information

Offer Requirements

Skills/Qualifications

Acceptable first degree 2:1 in Mathematics, Natural Sciences, Fluid Mechanics 

Work location(s)
1 position(s) available at
University of East Anglia
United Kingdom
Norwich
NR4 7TJ
Norwich Research Park

EURAXESS offer ID: 604049

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