Teaching GuideTerm
Higher Polytechnic University College
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Grao en Arquitectura Naval
 Subjects
  COMPUTATIONAL HYDRODYNAMIC
   Contents
Topic Sub-topic
Remembering conservation laws: Conservation laws (mass and momentum).
Partial differential equations (elliptic, parabolic and hyperbolic).
Discretization methods (FVM, FEM, FD).
Pure diffusion: Discretization for the one dimensional case.
Extension for 2D and 3D cases.
Implementing cases.
Combined diffusion and advection: Discretization approach and different interpolation schemes families
Classical interpolation schemes family.
Power law interpolation schemes family.
Normalized variable diagram interpolation schemes family.
Total variation diminishing interpolation schemes family.
Implementing cases.
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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