Discussion Overview
The discussion revolves around the use of a nonuniform mesh in the numerical method of characteristics, specifically in the context of computational fluid dynamics. Participants seek resources and share insights on implementing coarse and fine spatial meshes in their coding practices.
Discussion Character
- Exploratory, Technical explanation, Homework-related
Main Points Raised
- Kate requests recommendations for literature on using coarse and fine spatial meshes with the numerical method of characteristics.
- One participant suggests two books, "Modern Compressible Flow" by John D. Anderson and "Gas Dynamics" by James E.A. John and Theo G. Keith, as useful resources.
- Kate mentions she is using Matlab and expresses uncertainty about how to adjust the fine mesh as the characteristics move.
- A participant emphasizes the importance of calculating actual points in characteristic codes, explaining the transition from a rectangular grid to a characteristic mesh and then to an approximate rectangular mesh.
- Another participant expresses interest in reviewing Kate's code once it is completed.
Areas of Agreement / Disagreement
The discussion does not appear to reach a consensus, as participants share different aspects of the topic without resolving the uncertainties regarding the implementation of the mesh adjustments.
Contextual Notes
Participants have not clarified specific assumptions about the characteristics mesh or the conditions under which the fine mesh should be adjusted, leaving some aspects of the discussion unresolved.
Who May Find This Useful
This discussion may be useful for individuals interested in computational fluid dynamics, particularly those working with the numerical method of characteristics and mesh generation techniques.