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Rectangular Mesh

LFA is conducted on a infinite uniform grid. The mesh object allows the user to specify different scaling between the different dimensions of the mesh. This facilitates investigation of the smoothing and multigrid techniques on highly distorted meshes, such as boundary layer elements.

LFAToolkit.Mesh1D — Type
Mesh1D(dx)

One dimensional regular background mesh

Arguments:

  • dx::Float64: deformation in x dimension

Returns:

  • one dimensional mesh object

Example:

# generate 1D mesh
mesh = Mesh1D(1.0);

# verify
println(mesh)

# output

1d mesh:
    dx: 1.0
source
LFAToolkit.Mesh2D — Type
Mesh2D(dx, dy)

Two dimensional regular background mesh

Arguments:

  • dx::Float64: deformation in x dimension
  • dy::Float64: deformation in y dimension

Returns:

  • two dimensional mesh object

Example:

# generate 2D mesh
mesh = Mesh2D(1.0, 0.5);

# verify
println(mesh)

# output

2d mesh:
    dx: 1.0
    dy: 0.5
source
LFAToolkit.Mesh3D — Type
Mesh3D(dx, dy, dz)

Three dimensional regular background mesh

Arguments:

  • dx::Float64: deformation in x dimension
  • dy::Float64: deformation in y dimension
  • dz::Float64: deformation in z dimension

Returns:

  • three dimensional mesh object

Example:

# generate 3D mesh
mesh = Mesh3D(1.0, 0.5, 0.3);

# verify
println(mesh)

# output

3d mesh:
    dx: 1.0
    dy: 0.5
    dz: 0.3
source