Control volume based modelling of compressible flow in reciprocating machines

Stig Kildegård Andersen, Per Grove Thomsen, Henrik Carlsen

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


    An approach to modelling unsteady compressible flow that is primarily one dimensional is presented. The approach was developed for creating distributed models of machines with reciprocating pistons but it is not limited to this application. The approach is based on the integral form of the unsteady conservation laws for mass, energy, and momentum applied to a staggered mesh consisting of two overlapping strings of control volumes. Loss mechanisms can be included directly in the governing equations of models by including them as terms in the conservation laws. Heat transfer, flow friction, and multidimensional effects must be calculated using empirical correlations; correlations for steady state flow can be used as an approximation. A transformation that assumes ideal gas is presented for transforming equations for masses and energies in control volumes into the corresponding pressures and temperatures to improve the scaling of variables and to simplify initial conditions. Artificial dissipation for dissipating unwanted acoustic phenomena is discussed, and an asymmetric interpolation method with filtering properties for minimising numerical diffusion without introducing non physical oscillations is presented. The capabilities of the modelling approach are illustrated with a solution to a Stirling engine model that provides results in good agreement with experimental data. Keywords: Simulation, compressible flow, one dimensional, control volume.
    Original languageEnglish
    Title of host publicationProceedings of SIMS 2004 : 45th International Conference fo Scandinavian Simulation Society
    Number of pages440
    Place of PublicationCopenhagen
    PublisherTehnical University of Denmark, Department of Mechanical Engineering, Energy Engineering Section
    Publication date2004
    ISBN (Print)87-7475-316 9
    Publication statusPublished - 2004
    Event45th International Conference of Scandinavian Simulation Society - Copenhagen, Denmark
    Duration: 23 Sept 200424 Sept 2004
    Conference number: 45


    Conference45th International Conference of Scandinavian Simulation Society


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