Mas Blesa, AlbertMartínez Lahuerta, Víctor José2018-05-252018-05-252018-01-19https://hdl.handle.net/2445/122576Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Albert Mas Blesa[en] This work revolves on Navier-Stokes equations. In a first part, we investigate the conservation laws of mass and momentum in order to deduce the partial differential equations that governs Newtonian fluids dynamics. The distinction between a com- pressible/incompressible fluid is treated and some elementary examples, such as the ideal fluids, are also considered. In a second part we apply numerical methods to solve some 2-dimensional problems on partial differential equations, starting from a simple one on the heat equation and finishing with one on Navier-Stokes equations.56 p.application/pdfspacc-by-nc-nd (c) Vı́ctor José Martı́nez Lahuerta, 2018http://creativecommons.org/licenses/by-nc-nd/3.0/esEquacions de Navier-StokesTreballs de fi de grauDinàmica de fluidsFluidsEquacions en derivades parcialsAnàlisi numèricaNavier-Stokes equationsBachelor's thesesFluid dynamicsFluidsPartial differential equationsNumerical analysisinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess