Approximation Schemes for convective term - structured grids - definitions
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== definitions for NV diagram == | == definitions for NV diagram == | ||
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+ | we discoverd such definitions as | ||
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+ | <math>\boldsymbol{\phi_{i}}</math> is a function of <math>\boldsymbol{\phi_{i+1/2}}</math> |
Revision as of 18:37, 29 September 2005
Contents |
Goals of this section
Here we shall develop a commone definitions and regulations because of
- in different issues was used different definitions and notations
- we are searching for common approach and generalisation
Usual using definition for convected variable
definition of considered face, upon wich approximation is applied
usually (in the most articles) west face of the control volume is considered (without loss of generality)
for which flux is directed from the left to the right
we shall define it as
and convected variable at face of CV as
also you can find in literature such definition as , but we suggested it non suitable, because of complication
indicators of the local velocity direction
approximation scheme can be written in the next form
| (1) |
where and are the indicators of the local velocity direction such that
| (1) |
| (1) |
and of course
| (1) |
also used such definitions as and
we offer to use
and
therefore unnormalised form of approximation scheme can be written
| (1) |
or in more general form
| (1) |
definitions for NV diagram
we discoverd such definitions as
is a function of