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

Abstract

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
Volume1
Place of PublicationCopenhagen
PublisherTehnical University of Denmark, Department of Mechanical Engineering, Energy Engineering Section
Publication date2004
Edition1
Pages119-128
ISBN (Print)87-7475-316 9
Publication statusPublished - 2004
Event45th International Conference of Scandinavian Simulation Society - Copenhagen, Denmark
Duration: 23 Sep 200424 Sep 2004
Conference number: 45

Conference

Conference45th International Conference of Scandinavian Simulation Society
Number45
Country/TerritoryDenmark
CityCopenhagen
Period23/09/200424/09/2004
SeriesSIMS
Number1

Fingerprint

Dive into the research topics of 'Control volume based modelling of compressible flow in reciprocating machines'. Together they form a unique fingerprint.

Cite this