Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers
By Alexander Kurganov, Eitan Tadmor. 2002
424 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/a44da75f9a36ab879fb9073f2571801eb7bc74a3
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In Applied Mathematics
- Chi-Tien Lin
- Alexander Kurganov
- Smadar Karni
- Raphaël Loubère
- Steven Diot
- Guergana Petrova
- Olindo Zanotti
- Alina Chertock
In Computational Mechanics
- Alexander Kurganov
- Chi-Tien Lin
- Raphaël Loubère
- Steven Diot
- Smadar Karni
- Olindo Zanotti
- Guergana Petrova
- Alina Chertock
Citations in the corpus
- A Smoothness Indicator for Adaptive Algorithms for Hyperbolic Systems (2002, methodology): “The third-order central-upwind scheme is applied in the smooth regions, and its second-order version [ 12 ] (with the minmod limiter) is used in the indicated nonsmooth areas.”
- A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws (2014, methodology): “• 2D Riemann problems [70] - this classical suite of test problems is meant to assess the ability of a numerical method to solve genuinely two-dimensional Riemann problems emerging from four piecewise constant states joining at the origin.”
- All speed scheme for the low Mach number limit of the isentropic Euler equations (2009, methodology): “The idea is to find an asymptotic preserving (AP) method, i.e., a method which gives a consistent discretization of the Isentropic Euler equations (1.1), when ∆x,∆t resolve ǫ, and a consistent discretization of the incompressible limit (1.4), when ǫ→0 (∆x,∆t being fixed).”
- On the Reduction of Numerical Dissipation in Central-Upwind Schemes (2007, methodology): “dissipation present in the original semi-discrete central-upwind scheme in [13, 18].”
- Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations (2003, methodology): “We have taken six cases from the collection of 2D Riemann problems proposed by [43] and used by others [25, 23], namely, Cases 3, 4, 6, 12, 15, and 17 from [25] (which are configurations 3, 4, B, F,G,K from [43]).”
- Well‐balanced positivity preserving central‐upwind scheme for the shallow water system with friction terms (2015, methodology): “As in the 1-D case, we follow [9, 29] and obtain the central-upwind numerical fluxes in the form”
- Central‐upwind schemes on triangular grids for hyperbolic systems of conservation laws (2005, neutral): “3) with the ones, obtained by the original “rectangular” central-upwind scheme [18].”