Andersen, Stig Kildegård4; Carlsen, Henrik2; Thomsen, Per Grove5
1 Energy Engineering, Department of Mechanical Engineering, Technical University of Denmark2 Department of Mechanical Engineering, Technical University of Denmark3 Thermal Energy, Department of Mechanical Engineering, Technical University of Denmark4 Institute for Product Development, Technical University of Denmark5 Department of Applied Mathematics and Computer Science, Technical University of Denmark
We present an approach for modelling unsteady, primarily one-dimensional, compressible flow. The conservation laws for mass, energy, and momentum are applied to a staggered mesh of control volumes and loss mechanisms are included directly as extra terms. Heat transfer, flow friction, and multidimensional effects are calculated using empirical correlations. Transformations of the conservation equations into new variables, artificial dissipation for dissipating acoustic phenomena, and an asymmetric interpolation method for minimising numerical diffusion and non physical temperature oscillations are presented. The capabilities of the approach are illustrated with an example solution and an experimental validation of a Stirling engine model.
Simulation Modelling Practice and Theory, 2006, Vol 14, Issue 8, p. 1073-1086