Physical Space

Transform local flow variables to global frame

• 2D: global_frame(w::AbstractArray{<:Real,1}, cosa::Real, sina::Real)
• 3D: global_frame(w::AbstractArray{<:Real,1}, dirccos::AbstractArray{<:Real,2})

Transform global flow variables to local frame

• 2D: local_frame(w::AbstractArray{<:Real,1}, cosa::Real, sina::Real)
• 3D: local_frame(w::AbstractArray{<:Real,1}, dirccos::AbstractArray{<:Real,2})

1D physical space with structured mesh

@consts: x0, x1, nx, x, dx

2D Physical space with structured mesh

@consts: x0, x1, nx, y0, y1, ny, x, y, dx, dy

Generate uniform mesh

uniform_mesh(x0::Real, xnum::Int, dx::Real)

Equivalent structured mesh generator as matlab

• 2D: meshgrid(x::AbstractArray{<:Real,1}, y::AbstractArray{<:Real,1})
• 3D: meshgrid(x::AbstractArray{<:Real,1}, y::AbstractArray{<:Real,1}, z::AbstractArray{<:Real,1})

Physical space with unstructured mesh

@consts: nodes, cells

Read mesh file

read_mesh(file)

• @return nodes : are saved with 3D coordinates (z=0 for 2D case)
• @return cells : node ids inside cells

Compute connectivity of 2D unstructured mesh

mesh_connectivity_2D(cells::AbstractArray{<:Int,2})

Compute central points of 2D elements

mesh_center_2D(nodes::AbstractArray{<:AbstractFloat,2}, cells::AbstractArray{<:Int,2})

Compute areas of 2D elements

mesh_area_2D(nodes::AbstractArray{<:AbstractFloat,2}, cells::AbstractArray{<:Int,2})