Numerical Volume Preservation of a Divergence Free Fluid Under Symmetry

  • R. M. M. Matttheij, K. Laevsky

Abstract

This paper studies conservative formulations for the evolution of flows in 3-D which satisfy a symmetry condition. It is shown how the Hamiltonian form leads to a proper form of the evolution equation. This is illustrated by a number of examples. It is also shown how this results in conservation of e.g. mass when using simplectic integrators. A special… (More)

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