Live Coding Session : Ensuring stability for variable coefficient advection has been archived.
Live Coding Session : Ensuring stability for variable coefficient advection has been archived and is no longer active.
Live Coding Session : Ensuring stability for variable coefficient advection
We'll whiteboard the split-form equations in 1-D and motivate its use in higher dimensional advection-diffusion systems, then code it!
Friday, January 28, 2022, 4:00 PM - 7:00 PM (UTC-06:00)
Created by: Higher Order methods

About
About this event
In this livestream, we'll discuss energy stability for linear advection with variable advection speeds. This scenario arises when velocity fields depend on space and time and when isoparametric elements are used. Artificial dissipation, over-integration, and split-form equations are all methods used to mitigate the effects of aliasing errors. We'll discuss the split-form equations and present evidence in 1-D how this formulation maintains stability. In the coding portion of the livestream, we'll modify the conservative form previously implemented to add the "stabilizing terms" of the split form method.
In this livestream, we'll discuss energy stability for linear advection with variable advection speeds. This scenario arises when velocity fields depend on space and time and when isoparametric elements are used. Artificial dissipation, over-integration, and split-form equations are all methods used to mitigate the effects of aliasing errors. We'll discuss the split-form equations and present evidence in 1-D how this formulation maintains stability. In the coding portion of the livestream, we'll modify the conservative form previously implemented to add the "stabilizing terms" of the split form method.
Support this livestream
You can support this livestream and other activities in Spectral Element Library in Fortran project by making a donation to the SELF project.
You can support this livestream and other activities in Spectral Element Library in Fortran project by making a donation to the SELF project.
Our team
Joe Schoonover
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