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作者:Yanmeng Wang , Jun Zhu
来源:[J].Computers and Fluids(IF 1.467), 2020, Vol.200
摘要:Abstract(#br)In this paper, we investigate designing a new type of high-order finite difference multi-resolution trigonometric weighted essentially non-oscillatory (TWENO) schemes for solving hyperbolic conservation laws and some benchmark highly oscillatory problems. We only use...
作者:Zhen Gao , Li-Li Fang , Bao-Shan Wang ...
来源:[J].Computers and Fluids(IF 1.467), 2020
摘要:Abstract(#br)In this work, the characteristic-wise alternative formulation of the seventh and ninth orders conservative weighted essentially non-oscillatory (AWENO) finite difference schemes are derived. The polynomial reconstruction procedure is applied to the conservative varia...
作者:Jean-Piero Suarez , Gustaaf B. Jacobs
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.72 (3), pp.1080-1092Springer
摘要:... We consider the numerical solution of scalar and one-dimensional hyperbolic conservation laws with the singular source by spectral Chebyshev collocation methods. The regularization is obtained by convolution with a high-order compactly supported Dirac-delta approximation whos...
作者:Zhen Gao , Xiao Wen , Wai Sun Don
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (2-3), pp.736-752Springer
摘要:The high order shock detection algorithm employing the high order multi-resolution (MR) analysis (Harten in J Comput Phys 49:357–393, 1983 ) for identifying the smooth and non-smooth stencils has been employed extensively in the hybrid schemes, such as the hybrid compact-weighted essentially non-oscillatory finite difference scheme, for solving hyperbolic conservation laws...
作者:Philip Roe
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (2-3), pp.1094-1114Springer
摘要:It has been almost automatically assumed for a quarter century that the numerical solution of hyperbolic conservation laws is best accomplished by making a reconstruction of the initial data that is only piecewise continuous. The effect of the discontinuities is taken into acc...
作者:Jun Zhu , Jianxian Qiu
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (2-3), pp.1338-1359Springer
摘要:A new type of finite difference weighted essentially non-oscillatory (WENO) schemes for hyperbolic conservation laws was designed in Zhu and Qiu (J Comput Phys 318:110–121, 2016 ), in this continuing paper, we extend such methods to finite volume version in multi-dimensions. ...
作者:Caterina Bigoni , Jan S. Hesthaven
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.72 (3), pp.986-1020Springer
摘要:We explore the use of radial basis functions (RBF) in the weighted essentially non-oscillatory (WENO) reconstruction process used to solve hyperbolic conservation laws, resulting in a numerical method of arbitrarily high order to solve problems with discontinuous solutions. Th...
作者:Zhuang Zhao , Yibing Chen , Jianxian Qiu
来源:[J].Journal of Computational Physics(IF 2.138), 2020, Vol.405Elsevier
摘要:Abstract(#br)In this paper, we propose a hybrid finite volume Hermite weighted essentially non-oscillatory (HWENO) scheme for solving one and two dimensional hyperbolic conservation laws, which would be the fifth order accuracy in the one dimensional case, while is the fourth ord...
作者:JianHua Pan , YuXin Ren
来源:[J].Science China Physics, Mechanics & Astronomy(IF 1.169), 2017, Vol.60 (8)Springer
摘要:In this paper, a family of sub-cell finite volume schemes for solving the hyperbolic conservation laws is proposed and analyzed in one-dimensional cases. The basic idea of this method is to subdivide a control volume (main cell) into several sub-cells and the finite volume discre...
作者:Mehdi Dehghan , Rooholah Jazlanian
来源:[J].Computer Physics Communications(IF 3.078), 2011, Vol.182 (6), pp.1284-1294Elsevier
摘要:... This scheme is a new family of non-staggered central schemes for hyperbolic conservation laws. Motivation of this work is a staggered central scheme recently introduced by A.A.I. Peer et al. [A new fourth-order non-oscillatory central scheme for hyperbolic conservation laws...

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