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Munz, C.-D.

A tracking method for gas flow into vacuum based on the vacuum Riemann problem. (English) Zbl 0803.76074

Math. Methods Appl. Sci. 17, No. 8, 597-612 (1994).
A tracking method is proposed for the expansion of gas flow into vacuum which may be combined with numerical methods for the equations of gas dynamics, the Euler equations. The tracking algorithm is based on the exact or an approximate solution of the vacuum Riemann problem. This is the initial value problem with two constant states, one being the gas and the other the vacuum state, and a limit case of the usual Riemann problem. In this approach, the gas-vacuum boundary is sharply resolved within one mesh interval.

Cited in 1 Review
Cited in 8 Documents

MSC:

76N15 Gas dynamics (general theory)
76M20 Finite difference methods applied to problems in fluid mechanics

Keywords:

Euler equations; approximate solution; initial value problem; gas-vacuum boundary
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References:

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