  Lax-Wendroff Flux Reconstruction (LWFR) is a single-stage, high order,
quadrature free method for solving hyperbolic conservation laws. This work
extends the LWFR scheme to solve conservation laws on curvilinear meshes with
adaptive mesh refinement (AMR). The scheme uses a subcell based blending
limiter to perform shock capturing and exploits the same subcell structure to
obtain admissibility preservation on curvilinear meshes. It is proven that the
proposed extension of LWFR scheme to curvilinear grids preserves constant
solution (free stream preservation) under the standard metric identities. For
curvilinear meshes, linear Fourier stability analysis cannot be used to obtain
an optimal CFL number. Thus, an embedded-error based time step computation
method is proposed for LWFR method which reduces fine-tuning process required
to select a stable CFL number using the wave speed based time step computation.
The developments are tested on compressible Euler's equations, validating the
blending limiter, admissibility preservation, AMR algorithm, curvilinear meshes
and error based time stepping.
