Fine structures for the solutions of the two-dimensional Riemann problems by high-order WENO schemes
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DOI: 10.1007/s10444-017-9538-8
Abstract: The two-dimensional Riemann problem with polytropic gas is considered. By a restriction on the constant states of each quadrant of the computational domain such that there is only one planar centered wave connecting two adjacent… read more here.
Keywords: order weno; order; dimensional riemann; weno schemes ... See more keywords
Solution of Two-Dimensional Riemann Problems Using the Method of Piecewise Parabolic Reconstruction
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DOI: 10.1007/s10891-017-1596-8
Abstract: The formulation and solution of two-dimensional gas-dynamics problems associated with the interaction of shock waves, rarefaction waves, and contact discontinuities in the computational domain of simple configuration are discussed. Results of calculations corresponding to different… read more here.
Keywords: solution two; dimensional riemann; two dimensional; riemann problems ... See more keywords
The one-dimensional Riemann problem on an elliptic curve
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DOI: 10.1134/s0001434617010114
Abstract: A one-dimensional generalization of the Riemann–Hilbert problem from the Riemann sphere to an elliptic curve is considered. A criterion for its positive solvability is obtained and the explicit form of all possible solutions is found.… read more here.
Keywords: dimensional riemann; problem; one dimensional; elliptic curve ... See more keywords