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SAVOF96 : simulation of free-surface liquid dynamics in moving complex geometries

Groot, B. de (1996) SAVOF96 : simulation of free-surface liquid dynamics in moving complex geometries. Master's Thesis / Essay, Mathematics.

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Abstract

In all day life we are surrounded by flows in all sorts of media: draft through the house, water flow in the sink, blood flow through our veins. The world would not look the same without the current understanding of these flows. The designs of aeroplanes and cars for example, are mainly based on our knowledge of fluid mechanics. Often, experiments in windtunnels are performed to test such designs. Experiments are not always possible however. Before a spacecraft is sent into space, some understanding of its behaviour with respect to the contained fluids is required. Since experiments under low g conditions are difficult to perform on earth, another way of predicting the behaviour would be valuable. Also, experiments don't always allow the desired flow pattern to be observed. For example, the sloshing of fluid in an oscillating part of a mechanical system that cannot be opened to study during operation is hard to monitor, sometimes even by experimental means. This is where mathematics and computer science enter the picture. A means of predicting fluid flow is available in the form of the Navier-Stokes equations (see chapter 2). These are second order partial differential equations that usually can't be solved analytically. They can be simplified in order to handle certain problems 'by hand', but in most cases the flow is too complex, and numerical approximation is required. For this purpose SAVOF was conceived. It can simulate fluid flow in two dimensions or in axisymmetric geometries. SAVOF has been developed in the period 1980-1986 at the National Aerospace Laboratory (NLR) in Amsterdam with support from the Netherland's Agency of Aerospace Programs (NIVR). A detailed description of its capabilities as of 1986 can be found in [6]. Recently, the need arose to revitalise the program for new applications in the area of micro-g liquid management involving the experimental satellite SloshSat. New features were added and for post-processing purposes software was developed. This report describes the underlying mathematics (chapter 2), the numerical model used to solve the governing equations (chapter 3), and the extensions that were implemented (section 3.2). Further, the testing of (the functional extensions to) SAvOF is discussed in chapter 4. In the Appendix, a description of the program can be found.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:29
Last Modified: 15 Feb 2018 07:29
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/8738

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