Improving the accuracy of a 1D Gas Dynamics Model

Comsol Multiphysics
Publication Type:
Conference Proceeding
17th Australasian Fluid Mechanics Conference, 2010, pp. 1 - 4
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This paper and its companion present the salient features of a ID gas dynamics code which traces the propagation of finite amplitude waves along a quasi I D duct. This model extends an originally first order method to second order, and re-works the way heat transfer is accounted for, including a method for maintaining full mass conservation. The model is fully nonhomentropic, accounting for the large variations in gas properties and temperature that routinely occur in internal combustion engine ducts. In this paper, the model is tested against three basic problems for constant-area fi'ictionless flow - namely propagation of a small short wavelength pulse to test numerical smearing, the shock tube problem to test handling of steep gradients, and the Rayleigh flow problem to test the heat transfer implementation. The tests show the model performs very well in these simple cases which are a pre-requisite to more complex modeling tasks. This mode offers a useful alternative to finite difference based codes and addresses the criticisms usually made of wave action methods. It allows a uniform treatment of duct and cell boundaries to be used throughout.
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