The present paper describes the extension of least squares kinetic upwind m
ethod for moving grids (LSKUM-MG). LSKUM is a kinetic theory based upwind E
uler solver. LSKUM is a node based solver and can operate on any type of me
sh or even on an arbitrary distribution of points. LSKUM-MG also has the ca
pability to work on arbitrary meshes with arbitrary grid velocities. Result
s are presented for a moving piston problem and flow past an airfoil oscill
ating in pitch. (C) 2001 Elsevier Science Ltd. All rights reserved,