Remapping on the staggered mesh

The staggered mesh of von Neumann and Richtmyer provides a natural pattern of data storage for Lagrangian fluid dynamics. However, the solution of the advection equation, a necessary step for continuous rezone codes, leads to problems for fields stored on the nodes of the mesh, and in particular for the material velocities. In this paper, we describe a new scheme for advecting nodal quantities that is exactly conservative, computationally efficient and consistent in the sense of truncation error with the advection of cell-centered quantities.