Difference between revisions of "OpenFOAM guide/Owner and neighbour indices"
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(Created page with 'Owner and neighbour indices are a shorthand notation. == face fields == For equations involving a face field, the ''owner and neighbour indices'' are: <math>\boldsymbol \Psi_f …') |
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<math>\sum\limits_n A_{n,i} = \sum\limits_{j=i+1}^{N} A_{ji}</math> | <math>\sum\limits_n A_{n,i} = \sum\limits_{j=i+1}^{N} A_{ji}</math> | ||
− | + | Where: | |
+ | * ''A'' are [[matrix coefficients]]; and | ||
+ | * ''o'' and ''n'' are the [[owner and neighbour indices]]. | ||
For example, the main equation in [[lduMatrix;;negSumDiag]] is: | For example, the main equation in [[lduMatrix;;negSumDiag]] is: |
Revision as of 15:33, 30 June 2010
Owner and neighbour indices are a shorthand notation.
1 face fields
For equations involving a face field, the owner and neighbour indices are:
Where:
- Ao is the face owner (i.e. the volume cell designated as owner by the mesh);
- Ao is the face neighbour (i.e. the volume cell designated as neighbour by the mesh); and
- is a face field.
For example, the main equation in lduMatrix;;faceH is:
2 volume fields
For equations involving a volume field, the owner and neighbour indices are given by:
Where:
- A are matrix coefficients; and
- o and n are the owner and neighbour indices.
For example, the main equation in lduMatrix;;negSumDiag is:
See also: