- #1
zaki
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Hello,
the physical domain in the (y, z) space is mapped to a rectangular computational region in the (ŋ,Ƹ)-space, where (ŋ,Ƹ) are the new coordinates. This technique frees the computational simulation from geometry restriction.
after transforming the governing equations ( PDEs) to the (ŋ,Ƹ)-space, i found a problem: i need to get the mapping relating (y,z) to (ŋ,Ƹ) because the derivatives of (y,z) with respect to (ŋ,Ƹ) appear in the transformed PDEs, in other words i need the functions:
ŋ=ŋ(y,z) and Ƹ=Ƹ(y,z)
the geometry is shown in the picture.
can anyone help me finding these functions?
the physical domain in the (y, z) space is mapped to a rectangular computational region in the (ŋ,Ƹ)-space, where (ŋ,Ƹ) are the new coordinates. This technique frees the computational simulation from geometry restriction.
after transforming the governing equations ( PDEs) to the (ŋ,Ƹ)-space, i found a problem: i need to get the mapping relating (y,z) to (ŋ,Ƹ) because the derivatives of (y,z) with respect to (ŋ,Ƹ) appear in the transformed PDEs, in other words i need the functions:
ŋ=ŋ(y,z) and Ƹ=Ƹ(y,z)
the geometry is shown in the picture.
can anyone help me finding these functions?
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