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In various modeling scenarios, especially in diffusion problems, it becomes essential to employ different mesh types tailored to specific subdomains. For instance, a prism mesh is ideally suited for thin curved channels, enhancing resolution without excessive complexity, while a hex mesh is applied for adjacent rectangular substrates to conserve memory. This approach allows for efficient representation of geometries with varying diffusivity and surface reactions, enabled by linking these distinct meshes through an identity coupling variable. The result is an optimized model that balances accuracy and performance.
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Introduction • Sometimes it is desirable to use different mesh types in different subdomains. • The prism and hex mesh can be useful when modeling very thin geometries. In this diffusion example, we are using a prism mesh in a thin curved channel and a hex-mesh in an adjacent rectangular thin substrate. • This is realized by creating two geometries with different mesh types and then linking them together with the “identity coupling variable”.
Geometry Thin curved channel in contact with a thin rectangular substrate of different diffusivity At the bottom of the substrate a surface reaction consumes the diffusing species Fixed concentration at the far end of the channel
Mesh Hex mesh in substrate (saves memory compared to tet-mesh for thin structures) Prism mesh in curved channel (saves memory, and is simpler to use than hex for geometries that are more complex than the straight mapping of a square)
