Compatible, energy and symmetry preserving 2D lagrangian hydrodynamics in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"> <mml:mi>r</mml:mi> <mml:mi>z</mml:mi> </mml:math> — cylindrical coordinates

Abstract

We present a new discretization for 2D Lagrangian hydrodynamics in rz geometry (cylindrical coordinates), which is total energy conserving and symmetry preserving.