Two Dimensional Discretization with Finite Volume Methods

2 outubro 2018, 16:00 • Duarte Manuel Salvador Freire Silva de Albuquerque

– Quick revision about error norms and accuracy order.

– Differences between 1D and 2D Structured Grids Numeration.

– Create a global two dimensional diffusive problem with the finite volume method and impose correctly the boundary conditions.

– Compute vector gradients from the obtained numerical solution.

– 2D diffusive problem with Finite Difference and quick overview of classic linear solvers like Jacobi, Gauss-Seidel and SOR.

Temporal discretization

2 outubro 2018, 12:30 • José Carlos Fernandes Pereira

Properties of FD Equations, Conservation, Lax Equivalence Theorem 

Two Dimensional Discretization with Finite Volume Methods

2 outubro 2018, 11:00 • Duarte Manuel Salvador Freire Silva de Albuquerque

– Quick revision about error norms and accuracy order.

– Differences between 1D and 2D Structured Grids Numeration.

– Create a global two dimensional diffusive problem with the finite volume method and impose correctly the boundary conditions.

– Compute vector gradients from the obtained numerical solution.

– 2D diffusive problem with Finite Difference and quick overview of classic linear solvers like Jacobi, Gauss-Seidel and SOR.

One Dimensional Discretization with Finite Differences and Finite Volume Methods

28 setembro 2018, 09:30 • Duarte Manuel Salvador Freire Silva de Albuquerque

– How to create a finite difference formula and compute the respective truncation error for any number of points and derivative.

– Create a global 1D problem with finite differences and impose correctly the boundary conditions.

– Understand the main changes between the finite differences and the finite volume methods.

Introductionto iterative methods

27 setembro 2018, 12:30 • José Carlos Fernandes Pereira

Basic iterativemethods, Jacobi•Gauss•SOR, Successive Over-Relaxation Method 

Basic comments about iterative methods convergence