Andrew's secondment with IBM

Andrew Ferguson, ESR at Sorbonne University had a 3 month secondment with IBM from 25 February to 25 April 2022.

The secondment aim is to design a new almost exact solver for quadratic ordinary differential equations resulting from discretization of Navier Stokes equations in 2D. This will involve the following steps:

  • (1) discretizing Navier Stokes equations in space,
  • (2) discretizing the resulting differential equation in time, and
  • (3) applying polynomial optimization techniques to the resulting model.

The activities involved in the secondment includes:

  • reading research papers on the discretization of Navier Stokes equations in 2D
  • deriving a series of polynomial systems from the discretization. 
  • applying Gröbner basis techniques to the resulting polynomial systems.