This paper constructs several approximate Riemann solvers for use in s
olving the fluid flow equations in Lagrangian coordinates (the overall
solution procedure used here is Eulerian with a Lagrangian step follo
wed by a remap to the original coordinates). Results obtained with the
se solvers are compared with exact or converged numerical solutions to
define their characteristics. The Riemann solvers developed here are
useful in flow solution algorithms involving a Lagrangian-Eulerian or
purely Lagrangian formulation.