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In this work a simple method to enforce the positivity-preserving property for general high-order conservative schemes is proposed.
Similarity and Dimensional Methods in Mechanics (Similarity and Dimensional Methods in Mechanics, New York
L.I. Sedov · 1959
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The numerical simulation of two-dimensional fluid flow with strong shocks
P. Woodward and P. Colella · 1984
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Efficient implementation of essentially non-oscillatory shock-capturing schemes
C.-W. Shu and S. Osher · 1988
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Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
C.-W. Shu and S. Osher · 1989
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On Godunov-type methods near low densities
B. Einfeldt, C.D. Munz, P.L. Roe, and B. Sjogreen · 1991
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Efficient implementation of weighted ENO schemes
G.-S. Jiang and C.-W. Shu · 1996
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On positivity preserving finite volume schemes for Euler equations
B. Perthame and C.-W. Shu · 1996
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Positivity of flux vector splitting schemes
J. Gressier, P. Villedieu, and J.M. Moschetta · 1999
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Gas-kinetic schemes for the compressible Euler equations: positivity-preserving analysis
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A subcell remapping method on staggered polygonal grids for arbitrary-lagrangian-eulerian methods
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Riemann solvers and numerical methods for fluid dynamics: a practical introduction
E.F. Toro · 2009
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An adaptive central-upwind weighted essentially non-oscillatory scheme
X.Y. Hu, Q. Wang, and N.A. Adams · 2010
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On positivity preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
X. Zhang and C.-W. Shu · 2010
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Scale separation for implicit large eddy simulation
X.Y. Hu and N.A. Adams · 2011
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Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
X. Zhang and C.-W. Shu · 2011
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Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
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Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes
S. Kawai and S.K. Lele · 2008
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X. Zhang and C.-W. Shu · 2012
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