Solving discontinuous problems with pseudospectral methods

Add to your list(s) Download to your calendar using vCal

• Joanna Piotrowska
• Wednesday 16 October 2019, 11:00-11:30
• Battcock Tea area.

If you have a question about this talk, please contact Will Handley.

Pseudospectral schemes are a class of numerical methods successful at solving PDEs (Partial Differential Equations) with high accuracy due to their exponential convergence onto smooth solutions. Unfortunately, when applied to discontinuous problems, such as fluid shocks and material interfaces, pseudospectral solutions lose their superb convergence and suffer from spurious oscillations owing to the Gibbs’ phenomenon. I would like to present one of the proposed remedies for these issues – adaptive smoothing in the reconstruction space, introducing this post-processing technique and briefly discussing our results on its practical application to 1D and 2D problems.

This talk is part of the Cavendish Astrophysics Coffee talks series.

This talk is included in these lists:

• All Cavendish Laboratory Seminars
• All Talks (aka the CURE list)
• Battcock Tea area
• Cavendish Astrophysics Seminars
• Centre for Health Leadership and Enterprise
• Combined External Astrophysics Talks DAMTP
• Cosmology, Astrophysics and General Relativity
• Featured lists
• ME Seminar
• Neurons, Fake News, DNA and your iPhone: The Mathematics of Information
• School of Physical Sciences
• Thin Film Magnetic Talks

Note that ex-directory lists are not shown.