Variational principles for relativistic smoothed particle hydrodynamics

  title={Variational principles for relativistic smoothed particle hydrodynamics},
  author={Joe J. Monaghan and Daniel J. Price}
1 I N T R O D U C T I O N Approximate equations of motion are better if they incorporate important properties of the original system (for a discussion of this point for Hamiltonian systems see Salmon 1988). These important properties include the conservation laws of momentum and energy and, for barytropic fluids with conservative body forces, the conservation of circulation. Smoothed particle hydrodynamics (SPH, for a review see Monaghan 1992) is an approximation to the continuum equations of… CONTINUE READING
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