Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))
Online ISSN : 2185-4661
ISSN-L : 2185-4661
Journal of Applied Mechanics Vol.16 (Special Feature)
Implicit conservation numerical algorithm for compressible fluid
Kazuma AokiSatoru UshijimaDaisuke Toriu
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2013 Volume 69 Issue 2 Pages I_51-I_58

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Abstract

A numerical algorithm was proposed to solve the governing equations of compressible fluid consisting of conservation equations of mass, momentum and energy as well as the equation of state. The algorithm is based on an implicit method, in which linear system of density is solved with the temporally-estimated velocity components. Due to the implicit procedures, this algorithm is numerically stable and needs shorter computational time compared with explicit ones. In addition, since the governing equations are discretized with finite volume method, the conservation of mass and other physical properties is satisfied with sufficient accuracy. This computational method was applied to the sock wave propagation problem and natural convection flows driven by the non-uniform temperatures. The validity of the present method was discussed with these results.

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© 2013 by Japan Society of Civil Engineers
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