Teaching GuideTerm
Higher Polytechnic University College
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Mestrado Universitario en Enxeñaría Naval e Oceánica (plan 2012)
 Subjects
  Numerical Methods fot continuous media
   Contents
Topic Sub-topic
Os bloques ou temas seguintes desarrollan os contidos establecidos na ficha da Memoria de Verificación Ampliación de métodos numéricos basados en volúmes finitos.
Ampliación de problemas de difusión. - convección combinados.
Modelado de condicións de contorno.
Acoplamentos p-v.
Métodos numéricos basados en elementos finitos.
Remembering conservation laws: Conservation laws (mass and momentum).
Combined convection / diffusion
Pressure velocity coupling algorithms: Introduction to the closure problem.
Numerical versus physical incompressibility.
Staggered grids.
SIMPLE/ER/C and PISO methods for staggered grids.
SIMPLE/ER/C and PISO methods for collocated grids.
Implementing cases.
Linear equations systems: Sparse matrix systems.
Point to point, line to line and plane to plane methods.
High and low frequency errors. Multigrid methods.
Conjugate gradient method.
Implementing cases
Unsteady problems: Explicit, implicit and fully implicit schemes in 1D transient pure diffusive case.
Extension to 3D case.
Combined advection diffusion transient case.
Transient pressure velocity coupling.
Implementing cases.
Special Boundaries: Remembering Dirichlet and von Newmann boundaries.
Combined boundary conditions.
Wall laws.
Special boundaries.
Free surface.
Cases over commercial software: Proposed cases by the professor.
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