Integrator::AllenCahn

This is a simple implementation of an Allen-Cahn equation governed by

\[\frac{\partial\alpha}{\partial t} = - L \Big(\frac{\lambda}{\epsilon}(2.0\alpha - 6\alpha^2 + 4\alpha^3) + \epsilon\,\kappa\,\Delta \alpha \Big)\]

where \(\alpha(x,t)\) is the order parameter.

\(\phantom{0}\)

ch.L

1.0 conditional

Value for \(L\) (mobility)

Names by executable 3 executables, 3 uses

alamo-2d-coverage-g++

ch.L

alamo-3d-coverage-g++

ch.L

sfi-2d-coverage-g++

allencahn.ch.L

ch.grad

1.0 conditional

Value for \(\epsilon\) (diffuse boundary width) pp.query_default("ch.eps",value.ch.eps, "0.1", Unit::Length()); Value for \(\kappa\) (Interface energy parameter)

Names by executable 3 executables, 3 uses

alamo-2d-coverage-g++

ch.grad

alamo-3d-coverage-g++

ch.grad

sfi-2d-coverage-g++

allencahn.ch.grad

ch.chempot

1.0 conditional

Value for \(\lambda\) (Chemical potential coefficient)

Names by executable 3 executables, 3 uses

alamo-2d-coverage-g++

ch.chempot

alamo-3d-coverage-g++

ch.chempot

sfi-2d-coverage-g++

allencahn.ch.chempot

ch.direction

-1 0 1 conditional

Force directional growth: 0=no growth, 1=only positive, -1=only negative

Names by executable 3 executables, 3 uses

alamo-2d-coverage-g++

ch.direction

alamo-3d-coverage-g++

ch.direction

sfi-2d-coverage-g++

allencahn.ch.direction

ch.direction_tstart

0 conditional

Time to start forcing directional growth

Names by executable 3 executables, 3 uses

alamo-2d-coverage-g++

ch.direction_tstart

alamo-3d-coverage-g++

ch.direction_tstart

sfi-2d-coverage-g++

allencahn.ch.direction_tstart

lambda / kappa / sigma / eps

specify exactly 2 conditional

No documentation available.

Names by executable 3 executables, 3 uses

alamo-2d-coverage-g++

ch.lambda / ch.kappa / ch.sigma / ch.eps

alamo-3d-coverage-g++

ch.lambda / ch.kappa / ch.sigma / ch.eps

sfi-2d-coverage-g++

allencahn.ch.lambda / allencahn.ch.kappa / allencahn.ch.sigma / allencahn.ch.eps

alpha.ic

default bmp constant expression png pointlist psread random sphere conditional

Set the initial condition for the alpha field

Names by executable 3 executables, 3 uses

alamo-2d-coverage-g++

alpha.ic.type

alamo-3d-coverage-g++

alpha.ic.type

sfi-2d-coverage-g++

allencahn.alpha.ic.type

alpha.bc

default constant conditional

Use a constant BC object for temperature value.bc = new BC::Constant(1); BC::Constant parameters

Names by executable 3 executables, 3 uses

alamo-2d-coverage-g++

alpha.bc.type

alamo-3d-coverage-g++

alpha.bc.type

sfi-2d-coverage-g++

allencahn.alpha.bc.type