Multiphysics Simulation of Infrared Signature of an Ice Cube


  • H Khawaja
  • T Rashid
  • O Eiksund
  • E Broadal
  • K Edvardsen



This paper presents numerical methodologies to simulate the Infrared (IR) signature of an ice cube. The ice was frozen in a cold environment (-28oC) and allowed to have uniform temperature throughout. It was then taken out and let to warm at room temperature conditions by means of natural convection. A 3D transient heat equation is solved using three different methodologies. In the first attempt, the finite difference method is used to discretize the heat equation and solved using an FTCS (Forward-Time Central-Space) method in MATLAB® software. Then the same problem is modelled using the spectral method where the domain is discretized non-linearly for the appropriate solution. In the third attempt, the problem is modelled in ANSYS® Multiphysics software. The results obtained through all methodologies are found in close agreement. Also, the results reflect on the relation between IR imaging devices and the underlying physics of heat transfer.


Howell, J.R., P. Menguc, and R. Siegel, Thermal Radiation Heat Transfer, 5th Edition. 2010: Taylor & Francis.

G.F.S, The constant σ of the Stefan-Boltzmann law. Journal of the Franklin Institute, 1925. 199(1): p. 64.

Wan, Z., MODIS (Moderate Resolution Imaging Spectrometer) UCSB Emissivity Library. 1999: University of California, Santa Barbara.

Rogalski, A., Infrared Detectors, Second Edition. 2010: CRC Press.

Cannon, J.R., The One-Dimensional Heat Equation. 1984: Cambridge University Press.

Widder, D.V., The Heat Equation. 1976: Elsevier Science.

Moran, M.J., Introduction to thermal systems engineering: thermodynamics, fluid mechanics, and heat transfer. 2003: Wiley.

Petrenko, V.F. and R.W. Whitworth, Physics of Ice. 2002: OUP Oxford.

Patankar, S., Numerical Heat Transfer and Fluid Flow. 1980: Taylor & Francis.

Courant, R., K. Friedrichs, and H. Lewy, Über die partiellen Differenzengleichungen der mathematischen Physik. Mathematische Annalen, 1928. 100(1): p. 32-74.

Trefethen, L.N., Spectral Methods in MATLAB. 2000: Society for Industrial and Applied Mathematics.

Canuto, C., et al., Spectral Methods: Fundamentals in Single Domains. 2007: Springer-Verlag.

ANSYS®, Academic Research. release 14.0.

Kim, M., Finite Element Methods with Programming and Ansys. 2013: LULU Press.

ANSYS®, Academic Research, Theory Reference, in Mechanical APDL Guide. release 14.0.



How to Cite

Khawaja, H., Rashid, T., Eiksund, O., Broadal, E. and Edvardsen, K. (2016) “Multiphysics Simulation of Infrared Signature of an Ice Cube”, The International Journal of Multiphysics, 10(3), pp. 291-302. doi: 10.21152/1750-9548.10.3.291.




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