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Implementing the 1D and 2D Conservation Element/Solution Element scheme coupled with the Van der Waals model

Westers, F.M. (2017) Implementing the 1D and 2D Conservation Element/Solution Element scheme coupled with the Van der Waals model. Bachelor's Thesis, Physics.

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Abstract

The CE/SE scheme is a fast and accurate method for solving flow problems. The current version of the scheme depends on the perfect gas law, which works fine for atmospheric pressures, but breaks down at higher pressures. The aim of this thesis was to change the CE/SE scheme such that it depends on the Van der Waals equation of state instead. This new algorithm should be able to simulate dense gas flows with higher precision. Next, this has been used to simulate flows around a wing profile and to explore the differences between the perfect gas law and the Van der Waals gas law. In this thesis, the NACA-0012 wing profile is used, because a lot of experimental data is available for this airfoil and it has been widely used throughout literature to test the accuracy of new algorithms. For 1D, the results were promising and the new CE/SE method was able to calculate the Sod Shock tube with much higher accuracy compared to the original CE/SE scheme. For the 2D case, two different algorithms have been written, one using a structured mesh and one using an unstructured mesh. The structured mesh has been validated using Brown and Argrow (1998) and matched visually very well. The unstructured mesh also gave visually correct results for a wave on a 30 degree wedge, but failed to calculate the flow around the wing profile properly. Possible causes have been listed, which can be used in further research on this topic. This thesis presents the theoretical background and a 1D and 2D implementation of the Van der Waals CE/SE scheme for structured grids.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Physics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:27
Last Modified: 15 Feb 2018 08:27
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/14998

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