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SUMMARY:Staggered grids and kinetic fluxes for Euler equations - Thierry G
 oudon (INRIA Lille - Nord Europe Research Centre\, INRIA Sophia Antipolis)
DTSTART:20220525T101500Z
DTEND:20220525T111500Z
UID:TALK173612@talks.cam.ac.uk
DESCRIPTION:Of course\, there are many performing methods for solving Eule
 r equations\, and the analysis of such schemes is quite well-developed. Ho
 wever\, for certain applications\, or certain regimes\, it might be releva
 nt to work\, in contrast with the common practice\, with staggered grids a
 nd numerical unknowns stored on different locations.For instance\, in low 
 Mach regimes\, standard colocalized methods might present spurious oscilla
 tions.\nWe present a scheme\, developped with F. Berthelin\, S. Minjeaud\,
  J. Llobell\, and S. Krellon staggered grids and with a specific definitio
 n of numerical fluxes inspired from kinetic theory.The staggered approach 
 requires a new analysis\, especially for the full Euler system where&nbsp\
 ;the total energy mixes up quantities stored on dual grids\, and the conse
 rvation of total energy is a delicate issue.
LOCATION:Seminar Room 1\, Newton Institute
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