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The P1-RKDG method for two-dimensional Euler equations of gas dynamicsA class of nonlinearly stable Runge-Kutta local projection discontinuous Galerkin (RKDG) finite element methods for conservation laws is investigated. Two dimensional Euler equations for gas dynamics are solved using P1 elements. The generalization of the local projections, which for scalar nonlinear conservation laws was designed to satisfy a local maximum principle, to systems of conservation laws such as the Euler equations of gas dynamics using local characteristic decompositions is discussed. Numerical examples include the standard regular shock reflection problem, the forward facing step problem, and the double Mach reflection problem. These preliminary numerical examples are chosen to show the capacity of the approach to obtain nonlinearly stable results comparable with the modern nonoscillatory finite difference methods.
Document ID
19910015505
Acquisition Source
Legacy CDMS
Document Type
Preprint (Draft being sent to journal)
Authors
Cockburn, Bernardo (Minnesota Univ. Minneapolis., United States)
Shu, Chi-Wang (Brown Univ. Providence, RI., United States)
Date Acquired
September 6, 2013
Publication Date
March 1, 1991
Subject Category
Numerical Analysis
Report/Patent Number
NASA-CR-187542
AD-A236842
NAS 1.26:187542
ICASE-91-32
Accession Number
91N24819
Funding Number(s)
CONTRACT_GRANT: AF-AFOSR-0093-90
PROJECT: RTOP 505-90-52-01
CONTRACT_GRANT: NAG1-1145
CONTRACT_GRANT: NAS1-18605
CONTRACT_GRANT: NSF DMS-88-10150
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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