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Simulation of hydrodynamics and thermal physics of reliefographic processes

  • Approximate Methods of Solution of Boundary-Value Problems of Mathematical Physics
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Abstract

The development of latent images on the free surface of thermoplastic thin films is modeled by the finite-difference method. The mixed boundary-value problem for the Navier—Stokes equations is solved by an algorithm which avoids the standard difficulties of integration of continuity equations. The efficiency of the implicit schemes is analyzed by comparing the numerical and analytical solutions in the isothermal case. The allowance for energy balance makes it possible to compute the hydrodynamic and thermophysical parameters in conditions close to reality.

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References

  1. O. M. Belotserkovskii and Yu. M. Davydov, Method of Large Particles in Gas Dynamics [in Russian], Moscow (1982).

  2. Yu. P. Gushcho, Phase Reliefography [in Russian], Moscow (1974).

  3. M. A. Zabolotnyi and L. I. Potapenko, "Specific information properties of thermoplastic media for latent image development times shorter than mechanical relaxation times," Fundam. Osn. Opt. Pamyat. Sred., No. 15, 15–22 (1984).

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  4. V. M. Paskonov, V. I. Polezhaev, and L. A. Chudov, Simulation of Heat- and Mass-Transfer Processes [in Russian], Moscow (1984).

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Authors
  1. I. I. Lyashko
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  2. A. E. Grishchenko
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  3. N. Z. Prokhur
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  4. O. P. Tsymbalyuk
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Additional information

Academy of Sciences of the Ukrainian SSR. Kiev University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 68, pp. 100–107, 1989.

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Lyashko, I.I., Grishchenko, A.E., Prokhur, N.Z. et al. Simulation of hydrodynamics and thermal physics of reliefographic processes. J Math Sci 69, 1449–1454 (1994). https://doi.org/10.1007/BF01250590

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  • DOI: https://doi.org/10.1007/BF01250590

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