P 1-Conservative Solution Interpolation on Unstructured Triangular Meshes

@inproceedings{Alauzet2010P1S,
  title={P 1-Conservative Solution Interpolation on Unstructured Triangular Meshes},
  author={Fr{\'e}d{\'e}ric Alauzet and Michel Mehrenberger},
  year={2010}
}
This document presents an interpolation operator on unstructured triangular meshes that verifies the properties of mass conservation, P-exactness (order 2) and maximum principle. This operator is important for the resolution of the conservation laws in CFD by means of mesh adaptation methods as the conservation properties is not verified throughout the computation. Indeed, the mass preservation can be crucial for the simulation accuracy. The conservation properties is achieved by local mesh… CONTINUE READING

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