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USF_IceProperties.f90
IceConductivity
, IceCapacity
and IcePressureMeltingPoint
IceConductivity
, IceCapacity
), Pressure (IcePressureMeltingPoint
)The aim of these user functions is to provide a Fortran version of the else as MATC functions prescribed material parameters for ice (except for viscosity, which is handled by Glen's flow law). Fortran functions are way faster in execution time, which, in a run that repeatedly calls those parameters, can lead to tremendous speed-ups. Hence, if computing therm-mechanically coupled problems.
The heat conductivity of ice as a function of temperature () is defined (in SI units) as:
The capacity of ice as a function of temperature () is defined (in SI units) as:
The pressure melting point of ice as a function of pressure () is defined as (in Kelvin):
where is the Clausius Clapeyron constant. In case of negative ice pressures, the function uses zero value.
The required keywords in the SIF file for these user functions are:
Constants Clausius Clapeyron = Real 9.8e-08 End Material 1 Name = "ice" ! Heat transfer stuff (converted to MPa-m-a system) Temp Heat Capacity = Variable Temp Real Procedure "ElmerIceUSF" "IceCapacity" Heat Capacity Scaling Factor = Real $(secondsperyear)^(2.0) Temp Heat Conductivity = Variable Temp Real Procedure "ElmerIceUSF" "IceConductivity" Heat Conductivity Scaling Factor = Real $(secondsperyear)*1.0E-06 Temp Upper Limit = Variable HydroPressure Real Procedure "ElmerIceUSF" "IcePressureMeltingPoint" Pressure Scaling Factor = Real 1.0E06 ! from MPa to Pa End
An example demonstrating the use of the thermal properties of ice can be found in [ELMER_TRUNK]/elmerice/Tests/TemperateIceTestFct
.
Ritz, C. 1987. Time dependent boundary conditions for calculation of temperature fields in ice sheets. In: E. D. Waddington and J. S. Walder (Eds.), The Physical Basis of Ice Sheet Modelling, IAHS Publication No. 170, pp. 207–216. IAHS Press, Wallingford, UK.