Novel functional weights for improving the third‐order WENO schemes
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DOI: 10.1002/fld.5019
Abstract: In this article, we improved the nonlinear weight of the classical third‐order WENO scheme by using the limiter of the MUSCL scheme and got a new WENO scheme, the WENO‐F scheme, and developed three new… read more here.
Keywords: order weno; weno schemes; third order; scheme ... See more keywords
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
An Improved Third-Order WENO-Z Scheme
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DOI: 10.1007/s10915-017-0587-4
Abstract: In this paper, we develop an improved third-order WENO-Z scheme. Firstly, a new reference smoothness indicator is derived by slightly modifying that of WENO-N3 scheme proposed by Wu and Zhang (Int. J. Numer. Meth. Fl.… read more here.
Keywords: order weno; third order; scheme; weno scheme ... See more keywords