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SUMMARY:Geodynamics and Two-Phase Flow: A Computational Perspective - Dave
May (ETH Zürich)
DTSTART:20160219T113000Z
DTEND:20160219T123000Z
UID:TALK64725@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The system of partial differential equations used in geodynami
c contexts to study melt migration define the evolution of a two-phase sy
stem comprised of a highly viscous\, porous crystalline mantle rock ("sol
id" phase) through which low viscosity magma ("fluid" phase) can flow. Ty
pical geodynamic two-phase flow scenarios are characterized by rheologica
l non-linearities\, localization and flows possessing a range of characte
ristic length scales.
From a computational stand point\, the inhe
rently stiff and non-linear coupling between the fluid and solid phases\,
together with the typical flow characteristics associated with geodynami
c processes represent a number of challenges with respect to: (i) the cho
ice of primary variables\; (ii) the choice of temporal and spatial discre
tisation scheme\, and (iii) the development of efficient techniques for s
olving the discrete system of equations.
Within the context
of these three themes\, I will review the commonly adopted philosophies\
, computational methods and software used by the geodynamics community to
study the dynamics two-phase flow systems. Trade-offs and compromises as
sociated with the scope of the modelling software will be discussed\, alo
ng with an identification of the numerical components which are presently
lacking\, or devoid of\, rigorous mathematical analysis. Lastly\, I will
discuss recent algorithmic and software developments of highly efficient
and scalable solver-discretisation components which will be crucial in en
abling the simulation of high resolution\, three-dimensional two-phase fl
ow systems. \;
LOCATION:Seminar Room 1\, Newton Institute
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