Paper:	Structure Preserving Schemes
Volume:	488, 8th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2013)
Page:	231
Authors:	Käppeli, R.; Mishra, S.
Abstract:	We present two novel structure preserving numerical schemes for the Euler equations of hydrodynamics. The first method is concerned with the exact preservation of certain hydrostatic equilibria. This is achieved by a hydrostatic preserving reconstruction procedure and a well-balanced discretization of the gravitational source term. The second method treats the deficiency of angular momentum conservation in standard Eulerian Godunov-type numerical schemes. We show the geometric requirements on a scheme that conserves mass, linear momentum, total energy and angular momentum simultaneously. We then present a scheme fulfilling these requirements. The performance of the new structure preserving schemes is illustrated through numerical examples.

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