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UID:2278@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180403T140000
DTEND;TZID=Europe/Paris:20180403T150000
DTSTAMP:20180319T130000Z
URL:https://www.i2m.univ-amu.fr/evenements/on-the-role-of-the-helmholtz-le
 ray-projector-for-a-novel-pressure-robust-discretization-theory-for-the-in
 compressible-navier-stokes-equations/
SUMMARY: (...): On the role of the Helmholtz-Leray projector for a novel pr
 essure-robust discretization theory for the incompressible Navier-Stokes e
 quations
DESCRIPTION:: The talk discusses several physical regimes of the incompress
 ible Navier--Stokes equations with respect to the role of the pressure and
  the role of the Helmholtz--Leray projector in the Navier--Stokes momentum
  balance. It is emphasized that not the forces in the momentum balance the
 mselves matter for the complexity of the flow field\, but their Helmholtz-
 -Leray projector. Since the Helmholtz--Leray projector vanishes for arbitr
 ary gradient fields\, a semi norm and a corresponding equivalence class of
  forces play naturally a major role for the evolution of incompressible fl
 ows. Novel pressure-robust mixed finite element methods  are designed for 
 an appropriate discrete treatment of this equivalence class  of forces. On
  the contrary\, classical\, (only) inf-sup stable mixed methods do not car
 e about the existence of such an equivalence class. In order to deliver ac
 curate simulation results\, they have to resort to expensive high order an
 satz spaces.  Finally\, the talk will indicate suitable applications for e
 fficient and accurate low-order pressure-robust mixed methods like flows w
 ith electrolytes and flows with stagnation points\, and it will discuss po
 ssible extensions to compressible low-Mach number flows.http://www.wias-be
 rlin.de/~linke/
CATEGORIES:Groupe de travail,HYPERBO
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DTSTART:20180325T030000
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