Search for tag: "partial differential equations"

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.

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

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

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

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.

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

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

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

A lecture introducing numerical methods for hyperbolic PDEs

Video introducing different boundary conditions as well as the concept of well-posed problems.

Video with some example applications of partial differential equations in mechanical engineering.

Introduction to PDEs and comparison to ODEs

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:…