Let x, y be the coordinates in the physical domain and ξ, ηbe the coordinates in the computational domain. In which of these cases, the horizontal lines are stretched and the vertical lines are equally spaced?(a) ξ=x; η=ln⁡(y+1)(b) ξ=ln⁡(x+1); η=y(c) ξ=x; η=y(d) ξ=ln⁡(x+1); η=ln⁡(y+1)This question was posed to me in an interview.I need to ask this question from Discretization Aspects in division Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Let x, y be the coordinates in the physical domain and ξ, ηbe the co

1.	Let x, y be the coordinates in the physical domain and ξ, ηbe the coordinates in the computational domain. In which of these cases, the horizontal lines are stretched and the vertical lines are equally spaced?(a) ξ=x; η=ln⁡(y+1)(b) ξ=ln⁡(x+1); η=y(c) ξ=x; η=y(d) ξ=ln⁡(x+1); η=ln⁡(y+1)This question was posed to me in an interview.I need to ask this question from Discretization Aspects in division Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics
Answer» Right answer is (a) ξ=x; η=ln⁡(y+1) To explain: The horizontal coordinate lines are stretched means that the GRIDS are stretched in the y-direction. COORDINATES are stretched when logarithmically SPACED. So, to GET vertically stretched grid, η=ln⁡(y+1). Horizontal coordinates are UNDISTURBED.

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