Repositorio Institucional Universidad EAFIT ::Examinando por Materia "ECUACIONES DIFERENCIALES PARABÓLICAS

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Analytical-numerical solution of a parabolic diffusion equation under uncertainty conditions using DTM with Monte Carlo simulations
(Universidad EAFIT, 2015-08-03) González Parra, Gilberto; Arenas, Abraham J.; Cogollo, Miladys; Grupo de Matemática Multidisciplinar (GMM), Fac. de Ingeniería, Universidad de los Andes; Universidad de Córdoba, Facultad de Ciencias Básicas,Departamento de Matemáticas y Estadística
Solution of the Navier - Stokes equation using the method of characteristic curves
(Universidad EAFIT, 2014) Villegas Jiménez, José David; García Ruíz, Manuel Julio
This project deals about the solution of the Navier Stokes Equations by the Method of Characteristics -- This method is used to eliminate the convective part of equations of the convection-diffusion type, conducting the material derivative in a Lagrangian manner along the characteristic curves of each node in a fixed grid -- Following this approach, the method is able to solve the incompressible Navier Stokes Equations with the advantage of using large timesteps -- In the present case, the solution of the well known Lid Driven Cavity Flow problem is obtained for several Reynolds numbers, showing good agreement when compared to solutions obtained by other methods