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Title: Shashkov`s method retaining cell-edge unknowns

Technical Report ·
DOI:https://doi.org/10.2172/442192· OSTI ID:442192

Shashkov`s method for scalar cell-edge and cell-center variables is derived. Dot products for cell-edge vectors are computed for a corner of the cell. Next, the divergence and gradient are discretized. The diffusion equation is solved with cell-edge continuity and boundary conditions. A symmetric positive definite solution matrix is proven.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
442192
Report Number(s):
LA-UR-96-3504; ON: DE97001351
Resource Relation:
Other Information: PBD: 5 Jan 1996
Country of Publication:
United States
Language:
English

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