WENO‐Z schemeSummary This paper presents a new WENO‐Z scheme (WENO‐MZ) that incorporates a mapping function to enhance the weights of the less smooth sub‐stencils. The mapping function uses an innovative approach to modify the weight ratio of the less smooth sub‐stencil to the smooth ...
一系列求解Euler 方程的数值试验表明,新格式的激波捕捉能力和对复杂流场结构的分辨率都显著优于原WENO-Z+ 格式.词关键词 WENO 格式,频谱特性,高分辨率,数值耗散,激波捕捉,复杂流动 : 中图分类号:V211.3 : 文献标识码:A doi: 10.6052/0459-1879-19-249AN IMPROVED FIFTH-ORDER WENO-Z+ SCHEME 1}Luo Xin W ...
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In this paper, we have introduced a high-order, locally divergence-free, bound-preserving (BP) finite volume WENO scheme for special RMHD incorporating a general equation of state. This scheme includes a novel local projection technique that ensures a discrete divergence-free condition of the magne...
Recently, a vast quantity of new WENO variants have been proposed to enhance the accuracy of the traditional WENO scheme proposed in [21, 22] as, for instance, Mapped WENO (WENO-M) by Henrick et al. [11], WENO-Z [8] or a WENO scheme with progressive order of accuracy close to ...
The essence of WENO is to use a nonlinear convex combination of numerical fluxes from all the candidate small stencils, such that the scheme can achieve arbitrarily high order accuracy in smooth regions and resolve shocks or other discontinuities sharply and in an essentially non-oscillatory fashion...
【计算流体力学】第6讲-差分方法4-WENO WENO(WeightedEssentiallyNon-Oscillatory)scheme加权基本无振荡格式 WENOschemesareubiquitousinscienceandengineering,withapplicationsinfluiddynamics,astrophysics,oranyotherareainvolvingconvection-dominateddynamics.Thetechniqueismainlyappliedinthecontextofhyperbolicandconvection-dominated...
方程;低密度流;激波管Fifth Order WENO Scheme for Solving One- dimensional Euler EquationsAbstract: The performance of coupled low dissipation E-CUSP scheme with high precision weighted essentially non - oscillatory WENO scheme is investigated by solving the one- dimensional shock tube 3、 problem and...
waves.WENO-Z3N1,WENO-Z3N2 and WENO-Z3N3 schemes were constructed through different global smoothness indicators based on the third-order WENO-Z scheme (WENO-Z3 scheme).Several classical examples such as sod problem,interacting blast wave and shock entropy wave interaction...
In this paper a new simple fifth order weighted essentially non-oscillatory (WENO) scheme is presented in the finite difference framework for solving the hyperbolic conservation laws. The new WENO scheme is a convex combination of a fourth degree polynomial with two linear polynomials in a tradition...