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A Study of Fifth-Order WENO Reconstruction for Genuinely Two-Dimensional Convection-Pressure Flux Split Riemann Solver

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成果类型:
期刊论文
作者:
Tan, Shide;Yuan, Haizhuan;Hu, Lijun
通讯作者:
Yuan, HZ
作者机构:
[Yuan, HZ; Yuan, Haizhuan; Tan, Shide] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China.
[Hu, Lijun] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.
[Hu, Lijun] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China.
通讯机构:
[Yuan, HZ ] X
Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China.
语种:
英文
关键词:
Genuinely two-dimensional HLL-CPS solver;WENO;fifth-order;dimension-by-dimension reconstruction
期刊:
应用数学与力学进展
ISSN:
2070-0733
年:
2024
基金类别:
National Natural Science Foundation of China [12271464]; Hunan Provincial Natural Science Foundation of China [2023JJ10038, 2021JJ40009, 2021JJ10038, 2021JJ30056]; Excellent Youth Project of Hunan Education Department, China [21B0626, 20B574]
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
Although the genuinely two-dimensional HLL-CPS solver holds the inherent multidimensionality property and capability of resolving contact discontinuities, the conventional low-order (second-order and below) reconstruction methods still limits its application in the two-dimensional complex flows involving shock waves and shear layers. A fifth-order reconstruction method is proposed for the genuinely two-dimensional HLL-CPS solver. The conserved variable vectors at the midpoints of interfaces are approximated by the fifth-order 1D WENO reconstruction. Meanwhile, variables at the corners are eval...

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