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Partial Differential Equations Lecture 10 - Results

In the last part of this lecture we look at the results we obtain to the test problem and look forward to solving real fluid dynamics problems using commercial solvers in CFD5.

From  David Ingram on February 26th, 2021 0 likes 39 plays 0  

Partial Differential Equations Lecture 10 - The Solver

We now introduce a family of test problems and look at the Matlab code needed to solver the shallow water equations.

From  David Ingram on February 26th, 2021 0 likes 32 plays 0  

Partial Differential Equations Lecture 10 - Boundary Conditions

In the 2nd part of the lecture we look at boundary conditions for systems of hyperbolic equations.

From  David Ingram on February 26th, 2021 0 likes 41 plays 0  

Partial Differential Equations Lecture 10 - Shallow Water Equations

In this lecture we extend our solver to apply to a system of equations in one spatial dimension. In this case we are solving the St Vennant, or Shallow Water Equations.

From  David Ingram on February 26th, 2021 0 likes 40 plays 0  

Partial Differential Equations Lecture 9 - Results

Here we look in detail at the results from the test problem and discuss dispersive and dissipative errors.

From  David Ingram on February 16th, 2021 0 likes 35 plays 0  

Partial Differential Equations Lecture 9 - MacCormack method in 2D

This part of the lecture develops a 2D solver using the method of Fractional Steps and the MacCormack scheme and applies it to a test problem

From  David Ingram on February 16th, 2021 0 likes 44 plays 0  

Partial Differential Equations, Lecture 7a: Numerical solution of hyperbolic PDEs.

A lecture introducing numerical methods for hyperbolic PDEs

From  David Ingram on February 8th, 2021 0 likes 48 plays 0