Integrator::HeatConduction

src/Integrator/HeatConduction.H

This implements a basic heat conduction method in Alamo. The partial differential equation to be solved is

\[\frac{\partial T}{\partial t} = \alpha\,\Delta T\]

where \(T\) is temperature, \(t\) is time, and \(alpha\) is the thermal diffusivity. Integration is performed explicitly in time using forward Euler, and differentiation is performed using the finite difference method.

\(\phantom{0}\)

heat.alpha

required conditional

Diffusion coefficient \(\alpha\). *This is an example of a required input variable - - program will terminate unless it is provided.*

Names by executable 4 executables, 4 uses

alamo-2d-coverage-g++

heat.alpha

alamo-3d-coverage-g++

heat.alpha

thermoelastic-2d-coverage-g++

hc.heat.alpha

thermoelastic-3d-coverage-g++

hc.heat.alpha

heat.refinement_threshold

0.01_K

Criterion for mesh refinement. *This is an example of a default input variable. The default value is provided here, not in the definition of the variable.*

Names by executable 2 executables, 2 uses

thermoelastic-2d-coverage-g++

hc.heat.refinement_threshold

thermoelastic-3d-coverage-g++

hc.heat.refinement_threshold

ic

default constant expression sphere conditional

Initial condition type.

Names by executable 4 executables, 4 uses

alamo-2d-coverage-g++

ic.type

alamo-3d-coverage-g++

ic.type

thermoelastic-2d-coverage-g++

hc.ic.type

thermoelastic-3d-coverage-g++

hc.ic.type

bc.temp

default constant expression

Select BC object for temperature

Names by executable 2 executables, 2 uses

thermoelastic-2d-coverage-g++

hc.bc.temp.type

thermoelastic-3d-coverage-g++

hc.bc.temp.type

method

realspace spectral

Select between using a realspace solve or the spectral method

Names by executable 2 executables, 2 uses

thermoelastic-2d-coverage-g++

hc.method

thermoelastic-3d-coverage-g++

hc.method