Approximation Schemes for convective term - structured grids - definitions
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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
Please note: as we still developing this section, you can find the rest of non-unificated definitions
Usual used definition for convected variable
we shall use here
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 i.e. 
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
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| (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 discovered such definitions as
is a function of 
is a function of 
we shall use here
is a function of 
node stencil
Bear in mind this stencil
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