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FLOW AROUND A CYLINDER - istiarto

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– 4.48 –<br />

Fig. 4.12 Typical spatial discretisation of the computational domain.<br />

Table 4.5 Triple and single indexing of computational cells.<br />

Direction Nodal index Cell index<br />

x–direction i = 1, 2, ..., Ni i = 2, 3, ..., Ni–1<br />

y–direction j = 1, 2, ..., Nj j = 2, 3, ..., Nj–1<br />

z–direction k = 1, 2, ..., Nk k = 2, 3, ..., Nk–1<br />

Cells in the xy–plane ij = 1, 2, ..., Nij<br />

(Nij = Ni � Nj)<br />

Cells in the domain ijk = 1, 2, ..., Nijk<br />

(Nijk = Nij � Nk)<br />

ij = 2, 3, ..., Nijm<br />

[Nijm = (Ni–1) � (Nj–1)]<br />

ijk = 2, 3, ..., Nijkm<br />

[Nijkm = Nijm � (Nk–1)]<br />

Cell Triple-index Single-index<br />

P i,j,k ijk = (k–1) Nij + (i-1) Nj + j<br />

E i+1,j,k ijk + Nj<br />

W i–1,j,k ijk – Nij<br />

N i,j+1,k ijk + 1<br />

S i,j–1,k ijk – 1<br />

T i,j,k+1 ijk + Nij<br />

B i,j,k–1 ijk – Nij

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