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DTSTAMP:20190719T085745Z
LOCATION:HG E 1.1
DTSTART;TZID=Europe/Stockholm:20190614T113000
DTEND;TZID=Europe/Stockholm:20190614T120000
UID:submissions.pasc-conference.org_PASC19_sess116_msa149@linklings.com
SUMMARY:A Multidimensional Analogue of the HLLI Riemann Solver for Conserv
 ative Hyperbolic Systems for Astrophysical Plasma Applications
DESCRIPTION:Minisymposium\nComputer Science and Applied Mathematics, Physi
 cs\n\nA Multidimensional Analogue of the HLLI Riemann Solver for Conservat
 ive Hyperbolic Systems for Astrophysical Plasma Applications\n\nNkonga, Ba
 lsara\n\nJust as the quality of a one-dimensional approximate Riemann solv
 er is improved by the inclusion of internal sub-structure, the quality of 
 a multidimensional Riemann solver is also similarly improved. Such multidi
 mensional Riemann problems arise when multiple states come together at the
  vertex of a mesh. The interaction of the resulting one-dimensional Rieman
 n problems gives rise to a strongly-interacting state. We wish to endow th
 is strongly-interacting state with physically-motivated sub-structure. The
  fastest way of endowing such sub-structure consists of making a multidime
 nsional extension of the HLLI Riemann solver for hyperbolic conservation l
 aws. Presenting such a multidimensional analogue of the HLLI Riemann solve
 r with linear sub-structure for use on structured meshes is the goal of th
 is work. The multidimensional Riemann solver documented here is universal 
 in the sense that it can be applied to any hyperbolic conservation law. Th
 e multidimensional Riemann solver is made to be consistent with constraint
 s that emerge naturally from the Galerkin projection of the self-similar s
 tates within the wave model. The present Riemann solver results in the mos
 t efficient implementation of a multidimensional Riemann solver with sub-s
 tructure. Several stringent test problems drawn from hydrodynamics and MHD
  are presented to show that the method works well on structured meshes.
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