[Faculty] Fwd: [CSRC Colloquium] 4/21/23 Energy Conservation and Numerical Stability of Mimetic Difference Schemes

[Jose Castillo]

[image: SDSU_CSRC Logo.jpg]

DATE:
*Friday, April 21 , 2023*


TITLE:
*Energy Conservation and Numerical Stability of Mimetic Difference Schemes*



TIME:
*3:30-5:00 PM*



LOCATION:

*In Person - GMCS 31*
*4*

SPEAKER/BIO:
*Dr. Miguel Dumett,*

*Computational Science Research Center*

*San Diego State University*


*ABSTRACT: *

Currently there exist several versions of staggered and full-staggered
mimetic discretizations, all of them satisfying energy conservation due to
several properties enforced during their constructions. However, no proof
about this fact exists in the literature. In the first part of the talk,
mimetic differences are introduced from a general perspective.
Mimetic discrete analogs of vector calculus spatial derivative operators
can achieve constant high-order discretization in the whole computational
domain including the grid boundaries. Moreover, high-order discrete
generalized versions of the divergence theorem as well as other integral
theorems are attained by specially constructed weighted inner products. The
way these properties imply energy conservation of mimetic differences is
demonstrated in the second part of the talk.

Host:
*Jose Castillo*
DOWNLOAD:
PDF File <https://www.csrc.sdsu.edu/colloquia/20230421.html>
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