TY - ELEC
AU - Michael Shearer
PY - 2019
TI - A Phase-Field Model For Hele-Shaw Flow
LA - eng
M3 - Moving Image
AB - The invasion of one fluid into a fluid occupying the narrow gap between parallel plates is a model for
the displacement of a resident fluid in a porous medium by injecting a second fluid. In this paper, I describe
equations formulated by Ruben Juanes and Luis Cueto-Felguereso based on a phase-field formulation.
Numerical solutions of plane waves exhibit unusual behavior that is explored mathematically. Connections are
made to finite speed propagation of a small amplitude wave solution of the porous medium equation, and
to traveling waves that in a singular limit would be anomalous shock wave solutions of the equations. This
research is documented in the thesis of Melissa Strait.
N2 - The invasion of one fluid into a fluid occupying the narrow gap between parallel plates is a model for
the displacement of a resident fluid in a porous medium by injecting a second fluid. In this paper, I describe
equations formulated by Ruben Juanes and Luis Cueto-Felguereso based on a phase-field formulation.
Numerical solutions of plane waves exhibit unusual behavior that is explored mathematically. Connections are
made to finite speed propagation of a small amplitude wave solution of the porous medium equation, and
to traveling waves that in a singular limit would be anomalous shock wave solutions of the equations. This
research is documented in the thesis of Melissa Strait.
UR - https://open.library.ubc.ca/collections/48630/items/1.0384643
ER - End of Reference