Multidimensional dissipation for upwind schemes: Stability and applications to gas dynamics
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Publication:1268354
DOI10.1006/jcph.1998.6047zbMath0924.76076OpenAlexW2084423291MaRDI QIDQ1268354
Eric Morano, Marie-Claude Druguet, Richard Sanders
Publication date: 10 November 1999
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.1998.6047
Euler equationscarbuncle phenomenonlinear analysisaxisymmetric hypersonic chemically reacting air flowcrossflow dissipationspacecraft reentry
Finite difference methods applied to problems in fluid mechanics (76M20) Reaction effects in flows (76V05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hypersonic flows (76K05)
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Cites Work
- High resolution schemes for hyperbolic conservation laws
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Approximate Riemann solvers, parameter vectors, and difference schemes
- An extension of CVDV model to Zeldovich exchange reactions for hypersonic non-equilibrium air flows
- On travelling-wave solutions to systems of conservation laws with singular viscosity
- Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
- A contribution to the great Riemann solver debate
- Carbuncle phenomenon: On upwind schemes in multidimensions
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