Boulder Fluid and Thermal Sciences Seminar Series

Tuesday, December 5, 2017

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3:30pm-4:30pm (refreshments at 3:15pm)
Bechtel Collaboratory in the Discovery Learning Center (DLC)
University of Colorado at Boulder

Add to Calendar 12/5/2017 3:30:00 PM 12/5/2017 4:30:00 PM 9 Boulder Fluid and Thermal Sciences Seminar Discovery Learning Center, University of Colorado, Boulder MM/DD/YYYY

Daniel Appelö University of Colorado, Boulder

Hermite methods are arbitrary-order polynomial-based general-purpose methods for solving time dependent PDEs. Noteworthy properties of Hermite methods are high order of accuracy in both space and time combined with the ability to march in time with c∆t≤h, for any order of accuracy. The essential description of Hermite methods is as follows:
(i) The degrees of freedom are tensor-product Taylor polynomials at the cell vertices
(ii) The cell polynomial is the Hermite interpolant of the vertex polynomials. This yields a tensor-product polynomial of degree 2m + 1 in each coordinate.
(iii) P is evolved locally at the cell center to produce the required data on the staggered grid.
This talk will present the basic elements of Hemite methods and their application to hyperbolic systems in general and to compressible flows in particular.

Schedule

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Location

The seminar is held at the Discovery Learning Center (DLC) at the University of Colorado. Parking is free with a permit, which is provided at the seminar. The location for parking is shown in the map below.

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