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Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy

- D. Balsara, Chi-Wang Shu
- Mathematics
- 20 May 2000

In this paper we design a class of numerical schemes that are higher-order extensions of the weighted essentially non-oscillatory (WENO) schemes of G.-S. Jiang and C.-W. Shu (1996) and X.-D. Liu, S.… Expand

A Staggered Mesh Algorithm Using High Order Godunov Fluxes to Ensure Solenoidal Magnetic Fields in Magnetohydrodynamic Simulations

- D. Balsara, D. Spicer
- Mathematics
- 1 March 1999

The equations of magnetohydrodynamics (MHD) have been formulated as a hyperbolic system of conservation laws. In that form it becomes possible to use higher order Godunov schemes for their solution.… Expand

von Neumann stability analysis of smoothed particle hydrodynamics—suggestions for optimal algorithms

- D. Balsara
- Mathematics
- 1 October 1995

We present a von Neumann stability analysis of the equations of smoothed particle hydrodynamics (SPH) along with a critical discussion of various parts of the algorithm. The stability analysis is… Expand

The Distribution of Pressures in a Supernova-Driven Interstellar Medium

- M. M. Low, D. Balsara, +4 authors K. A. Observatory
- Physics
- 27 June 2001

Observations have suggested substantial departures from pressure equilibrium in the interstellar medium (ISM) in the plane of the Galaxy, even on scales under 50 pc. Nevertheless, multi-phase models… Expand

Total Variation Diminishing Scheme for Relativistic Magnetohydrodynamics

- D. Balsara
- Physics
- 2001

In this paper we present a total variation diminishing (TVD) scheme for numerical relativistic magnetohydrodynamics (MHD). The eigenstructure of the equations of relativistic MHD has been cataloged… Expand

Second-Order-accurate Schemes for Magnetohydrodynamics with Divergence-free Reconstruction

- D. Balsara
- Physics
- 14 August 2003

While working on an adaptive mesh refinement (AMR) scheme for divergence-free magnetohydrodynamics (MHD), Balsara discovered a unique strategy for the reconstruction of divergence-free vector fields.… Expand

Divergence-free adaptive mesh refinement for Magnetohydrodynamics

- D. Balsara
- Mathematics, Physics
- 6 December 2001

Abstract Several physical systems, such as nonrelativistic and relativistic magnetohydrodynamics (MHD), radiation MHD, electromagnetics, and incompressible hydrodynamics, satisfy Stoke's law type… Expand

DYNAMICS AND X-RAY EMISSION OF A GALACTIC SUPERWIND INTERACTING WITH DISK AND HALO GAS

- A. Suchkov, D. Balsara, T. Heckman, Claus Leitherner
- Physics
- 1 August 1994

There is a general agreement that the conspicuous extranuclear X-ray, optical-line, and radio-contiuum emission of starbursts is associated with powerful galactic superwinds blowing from their… Expand

Self-adjusting, positivity preserving high order schemes for hydrodynamics and magnetohydrodynamics

- D. Balsara
- Mathematics, Computer ScienceJ. Comput. Phys.
- 1 September 2012

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A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

- M. Dumbser, D. Balsara, E. Toro, C. Munz
- Computer Science, MathematicsJ. Comput. Phys.
- 30 September 2008

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