A meshfree mimetic divergence operator
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Mimetic methods discretize divergence by restricting the Gauss theorem to mesh cells. Because point clouds lack such geometric entities, construction of a compatible meshfree divergence is a challenge. In this work, we define an abstract Meshfree Mimetic Divergence (MMD) operator on point clouds by contraction of field and virtual face moments. This MMD satisfies a discrete divergence theorem, provides a discrete local conservation principle, and is first-order accurate.
- Research Organization:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
- DOE Contract Number:
- AC04-94AL85000; NA0003525
- OSTI ID:
- 1763214
- Report Number(s):
- SAND-2019-9645R; 678564
- Country of Publication:
- United States
- Language:
- English
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