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I.K. Marchevsky, V.V. Puzikova
24
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2017. № 5
Fig. 2.
Staggered arrangement of the variables on the LS-STAG mesh
The boundary
ib
is represented by a line segment on the cut-cell
,
i j
(Fig. 3).
Location of this segment endpoints is defined by a linear interpolation of the variable
,
= ( , ).
i j
i
j
x y
The cell-face fraction ratios
,
u
i j
and
,
v
i j
are introduced [2].
They take values in interval
[0,1]
and represent the fluid parts of the east and
north faces of
,
,
i j
respectively. The cell-face fraction ratios are defined by a one-
dimensional linear interpolations of function
( , )
i
x y
in interval
1
[ , ]
j
j
y y
and
( , )
j
x y
in interval
1
[ , ]:
i
i
x x
, 1 ,
,
, 1 ,
, 1 ,
min(
,
)
=
;
min(
,
) max(
,
)
i j
i j
u
i j
i j
i j
i j
i j
1,
,
,
1,
,
1,
,
min(
,
)
=
.
min(
,
) max(
,
)
i
j
i j
v
i j
i
j
i j
i
j
i j
Fig. 3.
Example of the cut-cell on the LS-STAG mesh