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31	An artificial compressibility analogy approach for compressible ideal MHD: application to space weather simulation Yalim, Mehmet S. 05 December 2008 (has links) Ideal magnetohydrodynamics (MHD) simulations are known to have problems in satisfying the solenoidal constraint (i.e. the divergence of magnetic field should be equal to zero, $<p>ablacdotvec{B} = 0$). The simulations become unstable unless specific measures have been taken.<p><p>In this thesis, a solenoidal constraint satisfying technique that allows discrete satisfaction of the solenoidal constraint up to the machine accuracy is presented and validated with a variety of test cases. Due to its inspiration from Chorin's artificial compressibility method developed for incompressible CFD applications, the technique was named as \ / Doctorat en Sciences de l'ingénieur / info:eu-repo/semantics/nonPublished Mécanique Sciences de l'ingénieur Magnetosphere Magnétosphère COOLFluiD upwind finite volume unstructured grids solution-adaptive mesh implicit parallel unsteady space weather solar wind Earth's magnetosphere magnetic field splitting reference speed diffusion reduction coefficient compressible ideal MHD ACA artificial compressibility