Dendrite

This is a BASIC phase field method for dendritic growth as described in Ryo Kobayashi (1994)

Link to paper: https://doi.org/10.1080/10586458.1994.10504577

2d

	Two-dimensional
	Serial
	Validated using check script
	./bin/alamo-2d-g++ tests/Dendrite/input

2d-coverage

	Two-dimensional
	Serial
	Not validated
	./bin/alamo-2d-g++ tests/Dendrite/input stop_time="4E-4"

Input file (../../tests/Dendrite/input)

#@ [2d]
#@ dim=2
#@
#@ [2d-coverage]
#@ dim=2
#@ coverage=true
#@ check=false
#@ args=stop_time=4E-4


alamo.program = dendrite
plot_file     = tests/Dendrite/output

# Simulation length
#timestep = 0.0001
timestep = 2E-4
stop_time = 1.0

# AMR parameters
amr.plot_int = 100
amr.max_level = 2
amr.n_cell = 64 64 64
amr.blocking_factor = 4
amr.regrid_int = 10
amr.grid_eff = 1.0

# Specify geometry and unrefined mesh
geometry.prob_lo = 0 0 0
geometry.prob_hi = 6.0 6.0 6.0
geometry.is_periodic= 0 0 0

ic.phi.region0  = "x^2 + y^2 + z^2 < 0.1"

ic.temp.constant.DeltaT = 0.25
ic.temp.region0 = "-DeltaT*(x^2 + y^2 + z^2 > 0.1)"

tau = 3E-4
eps = 1E-2
alpha = 0.9
gamma = 40.0
delta = 0.5

# Boundary conditions
bc.temp.type.xhi = neumann
bc.temp.type.xlo = neumann
bc.temp.type.yhi = neumann
bc.temp.type.ylo = neumann
bc.temp.type.zhi = neumann
bc.temp.type.zlo = neumann
bc.phi.type.xhi = neumann
bc.phi.type.xlo = neumann
bc.phi.type.yhi = neumann
bc.phi.type.ylo = neumann
bc.phi.type.zhi = neumann
bc.phi.type.zlo = neumann