Honors College Thesis
 

Exploring the Differences between Lagrangian and Eulerian Reference Frames for Stream Temperature Data

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  • Stream temperature research relies on reference frames in which to project data. An important decision in the project design is which frame of reference to use. This aspect of research planning is not always given the consideration of thought that would lead to the best decision. In this thesis, two frames of references (Eulerian and Lagrangian) are compared in order to garner a better understanding of whether the choice of one reference frame over the other leads to a difference in the interpretation of the stream temperature data. The Eulerian and Lagrangian reference frames were compared through a series of graphs in which the data was projected on both reference frames. In two dimensions of space and temperature, the interpretation between the Eulerian and Lagrangian reference frames are fairly similar. When the third dimension of time was graphed alongside temperature and space, the interpretations of the data differed between reference frames. All three dimensions should be considered when choosing a reference frame for research projects. The appropriate reference frame to use depends on the statements that need to be made about the data at the conclusion of the study. Key
  • Key Words: Reference frame, Eulerian, Lagrangian, Hydrology, stream temperature
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