Statistics – Computation
Scientific paper
Apr 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011dda....42.1004k&link_type=abstract
American Astronomical Society, DDA meeting #42, #10.04; Bulletin of the American Astronomical Society, Vol. 43, 2011
Statistics
Computation
Scientific paper
HYDRODYNAMIC INTERACTION OF STRONG SHOCKS WITH INHOMOGENEOUS MEDIA:
A DISCONTINUOUS GALERKIN APPROACH
Rohit Kulkarni,
Andrew Shelton,
Department of Aerospace Engineering, Auburn University, AL 36849
Many astrophysical flows, which have been observed, occur in inhomogeneous (clumpy) media. This numerical experiment comprises a model which will analyze the hydrodynamic interaction of strong shocks with inhomogeneous media neglecting any radiative losses, heat conduction, and gravitational forces. Formulation of this numerical study considers interaction of a steady, planar shock with embedded cylindrical clouds in the two-dimensional computational space. Hydrodynamic system of non-linear hyperbolic conservation equations for single fluid system is considered to govern the underlying physical phenomenon.
Emphasis will be on the development of discontinuous Galerkin finite element based code towards discretizing and then solving the physical conservation laws for the defined numerical experiment. This higher-order accurate scheme in spatial and temporal domain uses the discontinuous Galerkin method and this scheme will be compared with the Godunov-type finite volume method for accuracy and computational expense. Then the results will be obtained for the defined numerical model using the discontinuous Galerkin method, to discuss and conduct a comparative study which will provide the insights about the time evolution of a shock wave interacting with a single cloud system studied in a described computational domain. Numerical code developed will use an adaptive mesh refinement tool provided by AMRCLAW code which will allow us to achieve sufficiently high resolution both at small and large scales of simulation.
Rohit Kulkarni
rak0008@tigermail.auburn.edu Department of Aerospace Engineering, Auburn University
.
Kulkarni Rohit
Shelton Amy
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