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Teaching GuideTerm 2023/24 Escola Politécnica de Enxeñaría de Ferrol |
| Mestrado Universitario en Enxeñaría Naval e Oceánica (plan 2018) |
 Subjects |
| Computational Continuous Media Mechanics |
| Contents |
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| Identifying Data | 2023/24 | |||||||||||||
| Subject | Computational Continuous Media Mechanics | Code | 730496214 | |||||||||||
| Study programme |
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| Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
| Official Master's Degree | 2nd four-month period |
First | Obligatory | 4.5 | ||||||||||
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| Topic | Sub-topic |
| The blocks or the following contents develop the established topics in the "Memoria de Verifcación". | 1.- Finite Difference, Finite Element and Finite Volume Method. 2.- Eliptic PDE. Hydrodynamic and structures application. 3.- Solution to linear equations systems. 4.- Convective interpolation Schemes introduction. 5.- Coding cases. |
| Remembering conservation laws: | 1.- Conservation laws (mass and momentum). 2.- Combined convection / diffusion 3.- Constitutive relations |
| Pure diffusion | 1.-FVM for purely diffusive problems 2.- 1D, 2D and 3D approach. 3.- Coding cases |
| Convection | 1.- FVM for purely convective problems. 2.- 1D, 2D y 3D approach. 3.- Consistency and stability 4.- Coding cases |
| Linear equations systems | 1.- Sparse matrix systems. 2.- Point to point, line to line and plane to plane methods. 3.- High and low frequency errors. Multigrid methods. 4.- Conjugate gradient method. 5.- Coding cases |
| Introduction to FEM analysis for elastic solids | 1.- General procedure 2.- User vs developer perspectives |
| Equilibrium equations for elastic solids | 1.- Methodologies for yielding the equilibrium equation: Weak and strong approaches. 2.- Weak form of equilibrium. Introduction to variational calculus and weighted residuals. Methods of Hamilton and Galerkin |
| General aspects of FEM procedure | 1.- Fundamental approach in FEM. Shape functions. 2.- Basic features of shape functions. Geometric and natural coordinates. Isoparametric elements. 3.- Equilibrium equation for a discrete solid. Weak solution. 4.- Fundamental matrices. Assembling stiffeness matrices of discrete solids. 5.- Numerical integration of Gauss Legendre. Complete and reduced integration. 6.- Introduction to linear equations solvers. |
| Error and convergence in FEM | 1.- Different kind of errors 2.- Convergence conditions 3.- Energetic norm of the error 4.- Introduction to adaptive mesh |
| Kind of elements | 1.- Approach to 1D cases 2.- Approach to 2D cases 3.- Approach to 3D cases |
| Coding cases | Coding discrete cases for 1D, 2D or 3D applications |
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