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A high-order central essentially non-oscillatory (CENO) nite-volume scheme in combination with a block-based adaptive mesh re nement (AMR) algorithm is proposed for solution of the Navier-Stokes equations on bodytted multi-block mesh. The spatial discretization of the inviscid (hyperbolic) term is based on a hybrid solution reconstruction procedure that(More)
An accurate, effcient and scalable cubed-sphere grid framework is described for simulation of magnetohydrodynamic (MHD) space-physics flows in domains between two concentric spheres. The unique feature of the proposed formulation compared to existing cubed-sphere codes lies in the design of a cubed-sphere framework that is based on a genuine and consistent(More)
  • Lucian Ivan, Hans De Stercka, Scott A. Northrupb, Clinton P. T. Grothb
  • 2012
An accurate, efficient and scalable parallel, cubed-sphere grid numerical framework is described for solution of hyperbolic conservation laws in domains between two concentric spheres. The particular conservation laws considered in this work are the well-known Euler and ideal magnetohydrodynamics (MHD) equations. Our main contribution compared to existing(More)
A high-order accurate finite-volume scheme for the compressible ideal magnetohydrodynamics (MHD) equations is proposed. The high-order MHD scheme is based on a central essentially non-oscillatory (CENO) method combined with the generalized Lagrange multiplier divergence cleaning method for MHD. The CENO method uses k-exact multidimensional reconstruction(More)
A high-order central essentially non-oscillatory (CENO) finite-volume scheme is developed for the compressible ideal magnetohydrodynamics (MHD) equations solved on threedimensional (3D) cubed-sphere grids. The proposed formulation is an extension to 3D geometries of a recent high-order MHD CENO scheme developed on two-dimensional (2D) grids. The main(More)
A scalable parallel and block-adaptive cubed-sphere grid simulation framework is described for solution of hyperbolic conservation laws in domains between two concentric spheres. In particular, the Euler and ideal magnetohydrodynamics (MHD) equations are considered. Compared to existing cubed-sphere grid algorithms, a novelty of the proposed approach(More)
A high-order central essentially non-oscillatory (CENO) finite-volume scheme in combination with a block-based adaptive mesh refinement (AMR) algorithm is proposed for solution of hyperbolic conservation laws on three-dimensional cubed-sphere grids. In particular, the fluid flows of interest are governed by the compressible form of Euler and ideal(More)
A "dirty bomb" is a type of radiological dispersal device (RDD) that has been the subject of significant safety and security concerns given the disruption that would result from a postulated terrorist attack. Assessing the risks of radioactive dose in a hypothetical scenario requires models that can accurately predict dispersion in a realistic environment.(More)
A fourth-order accurate finite-volume scheme for hyperbolic conservation laws on three-dimensional (3D) cubedsphere grids is described. The approach is based on a central essentially non-oscillatory (CENO) finite-volume method that was recently introduced for two-dimensional compressible flows and is extended to 3D geometries with structured hexahedral(More)
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