Utilities

areas(b::Body/BodyList)

Return ScalarData filled with the 1-d areas (via midpoint rule) associated with b.

normals(b::Body/BodyList)

Return VectorData filled with the normal vectors (via midpoint rule) associated with b.

points(b::Body/BodyList)

Return VectorData filled with the coordinates of the points associated with b.

arcs(b::Body/BodyList)

Return ScalarData filled with the arclength coordinates associated with b.

ones(u::PointData)

Returns PointData of the same type as u filled with ones.

ones(u::VectorData/TensorData,dim::Int)

Returns point data of the same type as u, filled with ones in component dim.

dot(u1::PointData,u2::PointData,ds::ScalarData)

Return the inner product between u1 and u2, weighted by ds.

dot(u1::PointData,u2::PointData,ds::ScalarData,bl::BodyList,i)

Return the inner product between u1 and u2, weighted by ds, for only the data associated with body i in body list bl.

norm(u::PointData,ds::ScalarData)

Return the norm of u, weighted by ds.

norm(u::PointData,ds::ScalarData,bl::BodyList,i)

Return the norm of u, weighted by ds, for body i in body list bl

integrate(u::PointData,ds::ScalarData)

Calculate the discrete surface integral of data u, using the surface element areas in ds. This uses trapezoidal rule quadrature. If u is VectorData, then this returns a vector of the integrals in each coordinate direction.

integrate(u::PointData,ds::ScalarData,bl::BodyList,i::Int)

Calculate the discrete surface integral of scalar data u, restricting the integral to body i in body list bl, using the surface element areas in ds. This uses trapezoidal rule quadrature. If u is VectorData, then this returns a vector of the integrals in each coordinate direction.

copyto!(u::PointData,v::PointData,bl::BodyList,i::Int)

Copy the data in the elements of v associated with body i in body list bl to the corresponding elements in u. These data must be of the same type (e.g., ScalarData or VectorData) and have the same length.

copyto!(u::ScalarData,v::AbstractVector,bl::BodyList,i::Int)

Copy the data in v to the elements in u associated with body i in body list bl. v must have the same length as this subarray of u associated with i.

view(v::VectorData,bl::BodyList,i::Int)

Provide a view of the range of values in VectorData v, corresponding to the points of the body with index i in a BodyList bl.

ones(u::GridData)

Returns GridData of the same type as u filled with ones.

ones(u::VectorGridData/TensorGridData,dim::Int)

Returns grid data of the same type as u, filled with ones in component dim.

integrate(u::GridData,g::PhysicalGrid)

Calculate the discrete integral of grid data u, using the cell volumes of grid g. If u is VectorData, then this returns a vector of the integrals in each coordinate direction.

dot(u1::GridData,u2::GridData,g::PhysicalGrid)

Return the inner product between u1 and u2 weighted by the volume (area) of the cell in grid g.

norm(u::GridData,g::PhysicalGrid)

Return the L2 norm of u, weighted by the volume (area) of the cell in grid g.