IC::Expression
Initialize a field using a mathematical expression. Expressions are imported as strings and are compiled real-time using the AMReX Parser.
Works for single or multiple-component fields.
Use the regionN (N=0,1,2, etc. up to number of components) to pass expression.
For example:
ic.region0 = "sin(x*y*z)"
ic.region1 = "3.0*(x > 0.5 and y > 0.5)"
for a two-component field. It is up to you to make sure your expressions are parsed correctly; otherwise you will get undefined behavior.
Constants
You can add constants to your expressions using the constant directive.
For instance, in the following code
psi.ic.type=expression
psi.ic.expression.constant.eps = 0.05
psi.ic.expression.constant.R = 0.25
psi.ic.expression.region0 = "0.5 + 0.5*tanh((x^2 + y^2 - R)/eps)"
the constants eps and R are defined by the user and then used
in the subsequent expression.
The variables can have any name made up of characters that is not reserved.
However, if multiple ICs are used, they must be defined each time for each IC.
coord
coordinate system to use
Names by executable 12 executables, 79 uses
alpha.ic.expression.coord
crack.ic0.expression.coord
elastic.rhs.expression.coord
elastic.velocity.ic.expression.coord
ic.expression.coord
ic.phi.coord
ic.temp.coord
laser.ic.expression.coord
mechanics.rhs.expression.coord
mechanics.velocity.ic.expression.coord
pf.eta.ic.expression.coord
phi.ic.expression.coord
rhs.expression.coord
temp.ic.expression.coord
velocity.ic.expression.coord
alpha.ic.expression.coord
crack.ic0.expression.coord
elastic.rhs.expression.coord
elastic.velocity.ic.expression.coord
ic.expression.coord
ic.phi.coord
ic.temp.coord
laser.ic.expression.coord
mechanics.rhs.expression.coord
mechanics.velocity.ic.expression.coord
pf.eta.ic.expression.coord
phi.ic.expression.coord
rhs.expression.coord
temp.ic.expression.coord
velocity.ic.expression.coord
crack.ic0.expression.coord
rhs.expression.coord
velocity.ic.expression.coord
crack.ic0.expression.coord
rhs.expression.coord
velocity.ic.expression.coord
density.ic.expression.coord
eta.ic.expression.coord
m0.ic.expression.coord
pressure.ic.expression.coord
q.ic.expression.coord
solid.density.ic.expression.coord
solid.energy.ic.expression.coord
solid.momentum.ic.expression.coord
u0.ic.expression.coord
velocity.ic.expression.coord
rhs.expression.coord
velocity.ic.expression.coord
rhs.expression.coord
velocity.ic.expression.coord
allencahn.alpha.ic.expression.coord
dendrite.ic.phi.coord
dendrite.ic.temp.coord
flame.elastic.rhs.expression.coord
flame.elastic.velocity.ic.expression.coord
flame.laser.ic.expression.coord
flame.pf.eta.ic.expression.coord
flame.phi.ic.expression.coord
flame.temp.ic.expression.coord
hydro.density.ic.expression.coord
hydro.eta.ic.expression.coord
hydro.m0.ic.expression.coord
hydro.pressure.ic.expression.coord
hydro.q.ic.expression.coord
hydro.solid.density.ic.expression.coord
hydro.solid.energy.ic.expression.coord
hydro.solid.momentum.ic.expression.coord
hydro.u0.ic.expression.coord
hydro.velocity.ic.expression.coord
el.rhs.expression.coord
el.velocity.ic.expression.coord
hc.ic.expression.coord
el.rhs.expression.coord
el.velocity.ic.expression.coord
hc.ic.expression.coord
rhs.expression.coord
velocity.ic.expression.coord
rhs.expression.coord
velocity.ic.expression.coord
unit
Units of the value that is returned by the expression
Names by executable 12 executables, 79 uses
alpha.ic.expression.unit
crack.ic0.expression.unit
elastic.rhs.expression.unit
elastic.velocity.ic.expression.unit
ic.expression.unit
ic.phi.unit
ic.temp.unit
laser.ic.expression.unit
mechanics.rhs.expression.unit
mechanics.velocity.ic.expression.unit
pf.eta.ic.expression.unit
phi.ic.expression.unit
rhs.expression.unit
temp.ic.expression.unit
velocity.ic.expression.unit
alpha.ic.expression.unit
crack.ic0.expression.unit
elastic.rhs.expression.unit
elastic.velocity.ic.expression.unit
ic.expression.unit
ic.phi.unit
ic.temp.unit
laser.ic.expression.unit
mechanics.rhs.expression.unit
mechanics.velocity.ic.expression.unit
pf.eta.ic.expression.unit
phi.ic.expression.unit
rhs.expression.unit
temp.ic.expression.unit
velocity.ic.expression.unit
crack.ic0.expression.unit
rhs.expression.unit
velocity.ic.expression.unit
crack.ic0.expression.unit
rhs.expression.unit
velocity.ic.expression.unit
density.ic.expression.unit
eta.ic.expression.unit
m0.ic.expression.unit
pressure.ic.expression.unit
q.ic.expression.unit
solid.density.ic.expression.unit
solid.energy.ic.expression.unit
solid.momentum.ic.expression.unit
u0.ic.expression.unit
velocity.ic.expression.unit
rhs.expression.unit
velocity.ic.expression.unit
rhs.expression.unit
velocity.ic.expression.unit
allencahn.alpha.ic.expression.unit
dendrite.ic.phi.unit
dendrite.ic.temp.unit
flame.elastic.rhs.expression.unit
flame.elastic.velocity.ic.expression.unit
flame.laser.ic.expression.unit
flame.pf.eta.ic.expression.unit
flame.phi.ic.expression.unit
flame.temp.ic.expression.unit
hydro.density.ic.expression.unit
hydro.eta.ic.expression.unit
hydro.m0.ic.expression.unit
hydro.pressure.ic.expression.unit
hydro.q.ic.expression.unit
hydro.solid.density.ic.expression.unit
hydro.solid.energy.ic.expression.unit
hydro.solid.momentum.ic.expression.unit
hydro.u0.ic.expression.unit
hydro.velocity.ic.expression.unit
el.rhs.expression.unit
el.velocity.ic.expression.unit
hc.ic.expression.unit
el.rhs.expression.unit
el.velocity.ic.expression.unit
hc.ic.expression.unit
rhs.expression.unit
velocity.ic.expression.unit
rhs.expression.unit
velocity.ic.expression.unit
region
Mathematical expression in terms of x,y,z,t (if coord=cartesian) or r,theta,z,t (if coord=polar) and any defined constants.
Names by executable 12 executables, 79 uses
alpha.ic.expression.region
crack.ic0.expression.region
elastic.rhs.expression.region
elastic.velocity.ic.expression.region
ic.expression.region
ic.phi.region
ic.temp.region
laser.ic.expression.region
mechanics.rhs.expression.region
mechanics.velocity.ic.expression.region
pf.eta.ic.expression.region
phi.ic.expression.region
rhs.expression.region
temp.ic.expression.region
velocity.ic.expression.region
alpha.ic.expression.region
crack.ic0.expression.region
elastic.rhs.expression.region
elastic.velocity.ic.expression.region
ic.expression.region
ic.phi.region
ic.temp.region
laser.ic.expression.region
mechanics.rhs.expression.region
mechanics.velocity.ic.expression.region
pf.eta.ic.expression.region
phi.ic.expression.region
rhs.expression.region
temp.ic.expression.region
velocity.ic.expression.region
crack.ic0.expression.region
rhs.expression.region
velocity.ic.expression.region
crack.ic0.expression.region
rhs.expression.region
velocity.ic.expression.region
density.ic.expression.region
eta.ic.expression.region
m0.ic.expression.region
pressure.ic.expression.region
q.ic.expression.region
solid.density.ic.expression.region
solid.energy.ic.expression.region
solid.momentum.ic.expression.region
u0.ic.expression.region
velocity.ic.expression.region
rhs.expression.region
velocity.ic.expression.region
rhs.expression.region
velocity.ic.expression.region
allencahn.alpha.ic.expression.region
dendrite.ic.phi.region
dendrite.ic.temp.region
flame.elastic.rhs.expression.region
flame.elastic.velocity.ic.expression.region
flame.laser.ic.expression.region
flame.pf.eta.ic.expression.region
flame.phi.ic.expression.region
flame.temp.ic.expression.region
hydro.density.ic.expression.region
hydro.eta.ic.expression.region
hydro.m0.ic.expression.region
hydro.pressure.ic.expression.region
hydro.q.ic.expression.region
hydro.solid.density.ic.expression.region
hydro.solid.energy.ic.expression.region
hydro.solid.momentum.ic.expression.region
hydro.u0.ic.expression.region
hydro.velocity.ic.expression.region
el.rhs.expression.region
el.velocity.ic.expression.region
hc.ic.expression.region
el.rhs.expression.region
el.velocity.ic.expression.region
hc.ic.expression.region
rhs.expression.region
velocity.ic.expression.region
rhs.expression.region
velocity.ic.expression.region