Abstract
A set of equations governing an isothermal compressible fluid flow is analytically and numerically analyzed. The obtained equations are written in characteristic form and resolved by a predictor-corrector lambda scheme for the interior mesh points. The method of characteristics (MOC) is used for the boundaries. Advantages of explicit form of these schemes and the flexibility of the MOC are used for an isothermal fast transient gas flow in short pipeline. The results, obtained for a simple practical application agree with those of other methods. Key words: Gas transients, gas pipeline, lambda scheme, method of characteristics.
Highlights
Gas transients equations in pipelines can be linear or generally non linear
For the simulation of the above fast transient problem, the predictor-corrector lambda scheme adopts with the characteristics method, at the boundaries, the same t imposed by the stability Criteria (28)
The numerical methods presented in this study allow to calculate the propagation of pressure or velocity disturbances from one boundary of a gas pipeline
Summary
Gas transients equations in pipelines can be linear or generally non linear. They may be parabolic or hyperbolic of the first or second order. These second order schemes have the advantage that shock waves problems and other discontinuities can be treated with relatively good accuracy In their studies, many authors have considered fast gas transients employing numerical techniques as method of characteristics (MOC) (Kameswara and Eswaran, 1993; Greyvenstein, 2001) and finite differences (Greyvenstein, 2001; Gato and Henriques, 2005), with a relatively good agreement each other. The physical interpretation is that the waves travel with the speed “a”, given by the relation (4), propagating in this way the effect of the initial boundary conditions These equations are associated respectively with the following characteristics directions:. The time interval can be reduced in some cases
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