Teaching GuideTerm Higher Polytechnic University College |
Enxeñeiro Naval e Oceánico |
Subjects |
Métodos de Cálculo Numérico |
Contents |
Identifying Data | 2016/17 | |||||||||||||
Subject | Métodos de Cálculo Numérico | Code | 730112620 | |||||||||||
Study programme |
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Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
First and Second Cycle | 2nd four-month period |
Fourth-Fifth | Optativa | 3.5 | ||||||||||
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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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