In the minimum correction approach of decomposing the surface vector of a non-orthogonal grid, the relationship between the vector connecting the owner and the neighbour node \((\vec{E_f})\) and the surface vector \((\vec{S_f})\) is given as _________(a) \(\vec{S_f} sin⁡\theta.\vec{e}\)(b) \(\vec{S_f} cos⁡\theta.\vec{e}\)(c) \((S_f cos⁡\theta) \vec{e}\)(d) \((S_f sin\theta) \vec{e}\)This question was addressed to me during an interview for a job.The query is from Diffusion Problem topic in section Diffusion Problem of Computational Fluid Dynamics

In the minimum correction approach of decomposing the surface vector o

1.	In the minimum correction approach of decomposing the surface vector of a non-orthogonal grid, the relationship between the vector connecting the owner and the neighbour node \((\vec{E_f})\) and the surface vector \((\vec{S_f})\) is given as _________(a) \(\vec{S_f} sin⁡\theta.\vec{e}\)(b) \(\vec{S_f} cos⁡\theta.\vec{e}\)(c) \((S_f cos⁡\theta) \vec{e}\)(d) \((S_f sin\theta) \vec{e}\)This question was addressed to me during an interview for a job.The query is from Diffusion Problem topic in section Diffusion Problem of Computational Fluid Dynamics
Answer» Right option is (c) \((S_f cos⁡\theta) \VEC{E}\) The best explanation: Here, a right-angled TRIANGLE is formed by the vectors \(\vec{E_f}, \vec{S_f}\, and\, \vec{T_f}\). The \(\vec{T_f}\) vector is orthogonal to the \(\vec{E_f}\) vector in this CASE. The relation is given by \((\vec{e}.\vec{S_f})\vec{e}=(S_f cos⁡\theta)\vec{e}\).

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