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Convergence of five-point scheme with diagonally dominant characteristic for DLR k−ε model and its application

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成果类型:
期刊论文
作者:
Jiang Guangbiao;Shu Shi*;He Yongsen;Xiao Yingxiong;Ying Shuiping
通讯作者:
Shu Shi
作者机构:
[Shu Shi; Jiang Guangbiao] Xiangtan Univ, Coll Math & Computat Sci, Xiangtan 411105, Peoples R China.
[Ying Shuiping; Jiang Guangbiao] Cent South Univ Forestry & Technol, Sch Civil Engn, Hunan Key Lab Engn Rheol, Changsha, Hunan, Peoples R China.
[Shu Shi; He Yongsen] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China.
[Xiao Yingxiong] Xiangtan Univ, Coll Civil Engn & Mech, Xiangtan, Peoples R China.
通讯机构:
[Shu Shi] X
Xiangtan Univ, Coll Math & Computat Sci, Xiangtan 411105, Peoples R China.
Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China.
语种:
英文
关键词:
conical diffuser;convergence;DLR k-epsilon turbulent model;strictly diagonally dominant matrix;5-point-DD difference scheme
期刊:
International Journal for Numerical Methods in Fluids
ISSN:
0271-2091
年:
2020
卷:
92
期:
3
页码:
189-211
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China [11971414, 11571293]
机构署名:
本校为其他机构
院系归属:
土木工程学院
摘要:
In this paper, the equivalent equations of DLR k−ε turbulent model in the boundary-fitted curvilinear coordinate are employed. Using the upwind idea that the contribution of the difference coefficients to the main node is positive contribution, and the other nodes are negative contribution or no contribution, new five-point difference schemes with a full diagonally dominant coefficient matrix (5-point-DD difference scheme) are constructed. Finally, taking the (Formula presented.) equation in the DLR k−ε turbulent model as an example, the ma...

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