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Deriving Navier Stokes with particle methods

Redeman, M. (2014) Deriving Navier Stokes with particle methods. Bachelor's Thesis, Mathematics.

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Abstract

Simulating fluid flow can be very complex. We can model fluids using the Navier Stokes equations, which can be solved numerically using for example finite-difference or finite-elements. But these methods are generally hard to implement on a computer. Particle methods like the Lattice Boltzmann method and multiparticle collision dynamics can easily be implemented as a numerical model, but have the disadvantage that it hard to prove that they model the Navier Stokes equations. This thesis uses kinetic theory and perturbation theory to derive the Navier Stokes equations from the continuous and discrete Boltzmann equation. A numerical implementation of the Lattice Boltzmann method is discussed along with basic boundary conditions. Lastly we give an outline on how to do a similar derivation for the multiparticle collision method.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 07:57
Last Modified: 15 Feb 2018 07:57
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/11929

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