## A Variational Principle for Compressible Fluid Mechanics: Discussion of the One-dimensional Theory, Volume 3526National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1982 - Fluid mechanics - 14 pages |

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arbitrary constants arbitrary parameters Author(s boundary conditions bounded by nodes centered CFL condition COMPRESSIBLE FLUID MECHANICS compute conservation equations constraint term Contractor Report control volume Conventional numerical demonstrates the validity determined by equation diaphragm burst problem differencing scheme dyad Eh rH element entropy formation equation 18 equations are satisfied equations of motion explicit FLUID MECHANICS DISCUSSION flux terms fnAVn following fashion functional governing equations H CQ H T3 inequality constraint integrated inviscid Lagrange multipliers Law of Thermodynamics linear NASA negative pressures nodal numerical analog Numerical analysis numerical solution ONE-DIMENSIONAL THEORY Performing Organization pressure or density PRINCIPLE FOR COMPRESSIBLE result rH H Robert Joel Prozan Second Law shock tube shown in figure Sponsoring Agency step subsequent discussion system entropy tional tube and diaphragm Unclassified unsteady flow value of Bn values of beta variational principle variational statement vector velocity wave zero