[soes]

Hello

Suppose I have a 2d rectangular domain and only the lower side is a sinusoidal curve instead of a straight line side. I want to solve an equation by finite difference scheme inside the domain, but do not know how to treat the points close to the curved shape at the bottom (sinusoidal curve). I do not know how to mesh cells adjacent to this curve and whether I can solve the discretized equation by finite difference scheme close to them or not.

[chitra.s]

Originally Posted by Soheil.esmaeilzadeh

Hello

Suppose I have a 2d rectangular domain and only the lower side is a sinusoidal curve instead of a straight line side. I want to solve an equation by finite difference scheme inside the domain, but do not know how to treat the points close to the curved shape at the bottom (sinusoidal curve). I do not know how to mesh cells adjacent to this curve and whether I can solve the discretized equation by finite difference scheme close to them or not.

The grid points should be always orthogonal to surface curvature. I have attached an image. In that, I have provided clustering along the sinusoidal curve surface. Hope it would be helpful to you.