Results 41 to 50 of about 4,064 (207)
On the Linear Stability of the Fifth-Order WENO Discretization [PDF]
Journal of Scientific Computing, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Motamed, Mohammad +2 more
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Shock and Vibration, 2022 This paper presents a modified fifth-order WENO-HLLC Riemann solver for the transonic compressible viscous flows around the helicopter rotor in hover. The HLLC approximate Riemann solver is proposed to discrete the convection term involving grid velocity
Li Xu, Fengfeng Zhao, Jingjing Cai
doaj +1 more source
, 2021 研究高精度和高分辨率的差分格式对于复杂流场的数值模拟有重要意义。为了克服WENO-JS格式和WENO-Z在通量函数的一阶和二阶极值点处降阶的缺陷，基于重构权重系数的思想，设计一族映射函数并应用到五阶WENO格式中。近似色散关系表明，WENO-Pe的色散误差和数值耗散均小于WENO-JS、WENO-Z以及其他基于映射函数的WENO格式。新格式与其他格式数值模拟变形的高斯波问题，Sod激波管、Lax激波管、激波密度干扰问题等一维算例，Riemann问题、Rayleigh-Taylor不稳定性问题 ...
程启豪 +4 more
core +2 more sources
Hybrid Finite Compact-WENO Schemes for Shock Calculation
, 2007 Hybrid finite compact (FC)-WENO schemes are proposed for shock calculations. The two sub-schemes (finite compact difference scheme and WENO scheme) are hybridized by means of the similar treatment as in ENO schemes. The hybrid schemes have the advantages
申义庆 +2 more
core +1 more source
A Level Set Method on Particle Flow Maps
International Journal for Numerical Methods in Engineering, Volume 127, Issue 20, 30 October 2026.ABSTRACT Accurate interface tracking is central to numerical simulations involving moving boundaries, including multiphase flows, free‐surface dynamics, phase‐change problems, and other interface‐driven processes in computational mechanics. Although, level set methods provide a flexible implicit representation of evolving interfaces, their grid‐based ...
Jinjin He +5 more
wiley +1 more source
A fifth order WENO scheme for numerical simulation of shallow granular two-phase flow model
Advances in Mechanical Engineering, 2021 In this article, a weighted essentially non-oscillatory (WENO) scheme is implemented to simulate two-phase shallow granular flow (TPSF) model. The flow is assumed to be incompressible and it is regarded as shallow layer of granular and liquid material ...
Omar Rabbani, Saqib Zia, Asad Rehman
doaj +1 more source
International Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1105-1125, October 2026.A three‐dimensional fluid‐structure interaction (FSI) framework is developed using the geometric volume‐of‐fluid (VOF) interface capturing method and applied to assess largescale turbulent FSI interactions. The monolithic FSI framework is extensively validated, and despite the discontinuities across the interface, the FSI framework delivers stable and ...
Soham Prajapati +2 more
wiley +1 more source
, 2016 数值计算及分析表明,五阶WENO-Z格式要满足极值点五阶精度的条件时会在间断处会带来较大的耗散。针对以上问题,本文从以下两个方面进行了改进,发展的新格式避免了以上问题。首先,以WENO-Z格式的全局模板光滑因子τ为基础,提出了一个更高阶的全局光滑因子,用于提高WENO-Z格式的极值点精度;然后,以此为基础重新设计了WENO-Z格式的权重计算方案,用于提高其在光滑区域的计算精度及间断区域的鲁棒性。本文的数值结果表明:发展的新格式不仅在极值点附近能获得五阶精度,而且在间断处具有很好的鲁棒性 ...
申义庆, 刘升平
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A Comparative Study of Low‐Dissipation Numerical Schemes for Hyperbolic Conservation Laws
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT This work provides a comparative assessment of several low‐dissipation numerical schemes for hyperbolic conservation laws, highlighting their performance relative to the classical Harten‐Lax‐van Leer (HLL) schemes. The schemes under consideration include the classical Harten‐Lax‐van Leer‐Contact (HLLC), the recently proposed TV flux splitting,
Shaoshuai Chu, Michael Herty
wiley +1 more source
A General Improvement in the WENO-Z-Type Schemes
Communications in Computational Physics, 2022 A new type of finite volume WENO schemes for hyperbolic problems was devised in [33] by introducing the order-preserving (OP) criterion. In this continuing work, we extend the OP criterion to the WENO-Z-type schemes. We firstly rewrite the formulas of the Z-type weights in a uniform form from a mapping perspective inspired by extensive numerical ...
Ruo Li, Wei Zhong
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