Solution of the Navier Stokes model in 1D using finite differences schemes

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dc.contributor.affiliationUniversidad EAFIT, School of Sciences, Department of Mathematical Sciencesspa
dc.contributor.authorGutiérrez, Ana Sofía
dc.contributor.authorSalazar Arango, Alejandro
dc.date.accessioned2022-06-10T13:21:53Z
dc.date.available2022-06-10T13:21:53Z
dc.date.issued2021-05-26
dc.description.abstractThe Navier Stokes equations are ones that describe the behavior of fluids. The computational solution of these allows for a way of understanding and predicting them while being cost-effective. The fundamental equations arise from the principles of conservation of energy, momentum, and mass described in New ton’s second law, the first law of thermodynamics, and the continuity equation respectively. The obtained system of equations can be used for different fluid simulations under different circumstances such as Newtonian, compressible, or isothermal flow fluids. The objectives of this project are to describe the problem and the origin of the equations; to approximate the solution to the Navier Stokes system in one dimension through a finite differences discretization scheme used in numerical analysis to solve PDE; to mathematically analyse the selected approach in terms of error and convergence; to present examples using different boundaries conditions.spa
dc.identifier.urihttp://hdl.handle.net/10784/31474
dc.language.isoengspa
dc.publisherUniversidad EAFITspa
dc.subject.keywordNavier-Stokes in 1 Dimensionspa
dc.subject.keywordFluid modelingspa
dc.subject.keywordFinite differencesspa
dc.subject.keywordPartial differential equationsspa
dc.titleSolution of the Navier Stokes model in 1D using finite differences schemesspa
dc.typearticlespa

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Cuadernos de Ingeniería Matemática, Vol. 01 Núm. 02 (2021)