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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2009 Volume 49, Number 6, Pages 1103–1118 (Mi zvmmf4709)

Development and tending to steady state of subsonic gas condensation on a plane condensed phase

V. A. Titareva, E. M. Shakhovb

a Cranfield University, Cranfield, UK, MK43 0AL
b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: The kinetic equation for a monatomic gas with a model collision operator (S-model) is used to study the development and tending to steady state of one-dimensional unsteady half-space gas condensation on a plane condensed phase. Initially, the gas is at rest and in equilibrium with the body's surface and, then, the body temperature suddenly drops to a constant value. The problem is solved using an implicit second-order accurate quasi-monotone scheme. The process of reaching a steady flow regime is of primary interest. The effect of the evaporation (condensation) coefficient on the flow pattern is analyzed.

Key words: rarefied gas, unsteady condensation, kinetic equation, S-model, implicit TVD scheme.

UDC: 519.634

Received: 10.04.2008


 English version:
Computational Mathematics and Mathematical Physics, 2009, 49:6, 1054–1068

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