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simultaneous conservation of angular and linear momenta |
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August 17, 2012, 15:29 |
simultaneous conservation of angular and linear momenta
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I presently have written a code that evolves Euler's equations with Newtonian self-gravity on an Eulerian Cartesian grid. I use the Kurganov-Tadmor central difference scheme for the advection.
I would like to be able to numerically conserve both linear and angular momenta. Does anyone know of any way to do this? I have figured out the fundamental reason the K-T method does not conserve angular momentum when advecting linear momenta - it does not preserve the symmetry of the stress tensor. But I can't figure out how to alter the scheme to account for this effect. Any suggestions? |
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