An Implementation of the Method of Characteristics Using ACSL Software

The simulation of gas flows in a reciprocating engine requires solution of the equations of gas dynamics because of the pressure waves in the manifolds, for example. The method of characteristics provides a means for solving hyperbolic partial differential equations. We propose in this paper a new w...

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Bibliographic Details
Published in:Simulation (San Diego, Calif.) Calif.), 1997-12, Vol.69 (6), p.349-355
Main Authors: Hetet, J.F., Mezencev, R.
Format: Article
Language:English
Subjects:
Applied sciences
Boundary conditions
Computer science
control theory
systems
Computer simulation
Control theory. Systems
Exact sciences and technology
Gas dynamics
Gas pipelines
Modelling and identification
Partial differential equations
Simulation
Software
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Summary:The simulation of gas flows in a reciprocating engine requires solution of the equations of gas dynamics because of the pressure waves in the manifolds, for example. The method of characteristics provides a means for solving hyperbolic partial differential equations. We propose in this paper a new way to implement this using ACSL software. After presenting an outline of the method of characteristics and ACSL software, we present a program to solve a simple case: a pressurized pipe with a gradually opening valve. The state event mechanism allows the boundary conditions and the intersections of the characteristics emitted from both ends of the pipe to be dealt with precisely while the solution of the differential equations is realized in a continuous fashion.
ISSN:0037-5497
1741-3133
DOI:10.1177/003754979706900603