Search for tag: "partial differential equations"

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 15 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 10 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 8 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 11 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 14 plays 0  

Partial Differential Equations Lecture 9 - Two and three dimensional solvers

In this lecture we look at operator splitting and the method of fractional steps which can be used to solve 2 and 3D problems with 1D schemes.

From  David Ingram on February 16th, 2021 0 likes 11 plays 0  

Partial Differential Equations, Lecture 8c: MUSCL Schemes

We look briefly at how MUSCL schemes use weighted interpolation of fluxes as an alternative to the TVD schemes.

From  David Ingram on February 15th, 2021 0 likes 11 plays 0  

Partial Differential Equations, Lecture 8b: TVD MacCormack

Here we implement the MacCormack scheme with a TVD correction in Matlab and apply it to a test problem

From  David Ingram on February 15th, 2021 0 likes 12 plays 0  

Partial Differential Equations, Lecture 8a: Monotone Methods for Conservation Laws

In this lecture we look at schemes which are not prone to producing the spurious "Gibbs" oscillations we saw in the last lecture. We start b talking about TVD schemes

From  David Ingram on February 15th, 2021 0 likes 14 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 16 plays 0  

Learning Technology Showcase March 2018, Part 2

Lecture Technology Showcase (run by the Learning Teaching and Web division of Information Services, University of Edinburgh) of 29th March 2018 on the subject of lecture recording. Part 2. Speakers:…

From  Brendan Hill on April 20th, 2018 0 likes 71 plays 0