The problem of solution transfer between meshes arises frequently in computational
physics, e.g., in Lagrangian methods where remeshing occurs. The interpolation
process must be conservative, i.e., it must conserve physical properties, such as mass.
We extend previous works — which described the solution transfer process for
straight sided unstructured meshes — by considering high-order isoparametric meshes
with curved elements. To facilitate solution transfer, we numerically integrate the
product of shape functions via Green’s theorem along the boundary of the
intersection of two curved elements. We perform a numerical experiment and
confirm the expected accuracy by transferring test fields across two families of
meshes.
