# Thesis Simulations

This might cause problems in studying this particular simulation case as it mostly relies on pressure control based on manipulations of the hydrostatic pressure component.

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The updated 2nd order scheme differs from the original 1st order scheme by using slope limiters.

This reduces numerical diffusion, which is a common problem with numerical schemes.

Reducing the hydrostatic component of the system helps to control pressures down-hole very accurately and fast.

For this type of pressure control, an understanding of down-hole parameters as well as precise pressure estimate is required. The scheme used in this thesis is AUSMV numerical scheme used mostly for academic purposes.

A possible solution for this problem would be to move the suction point higher up in the well, which would reduce the height of the fluid column above.

This fluid column was found to be the main contributor to the negative friction effect.

DUNE will utilise Liquid Argon (LAr) Time Projection Chamber (TPC) (LAr TPC) technology, and the Far Detector (FD) will consist of four modules, each containing 17.1~kt of LAr with a fiducial mass of around 10~kt.

Each of these FD modules represents around an order of magnitude increase in size, when compared to existing LAr TPC experiments.

The Deep Underground Neutrino Experiment (DUNE) is a next-generation neutrino experiment which will be built at the Sanford Underground Research Facility (SURF), and will receive a wide-band neutrino beam from Fermilab, 1300~km away.

At this baseline DUNE will be able to study many of the properties of neutrino mixing, including the neutrino mass hierarchy and the value of the CP-violating complex phase ($\delta_$).

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