gasdynamic

— The Lagrangian, multi-dimensional, ideal, compressible gasdynamic equations are written in a multi-symplectic form, in which the Lagrangian fluid labels, mⁱ (the Lagrangian mass coordinates) and time t are the independent variables, and in which the Eulerian position of the fluid element #123;#92;bfx#125;#61;#123;#92;bfx#125;(#123;#92;bfm#125;,t) and the entropy S#61;S(#123;#92;bfm#125;,t) are the dependent variables.