A-WENO schemes;
Low-dissipation central-upwind scheme;
Euler equations of gas dynamics;
D O I:
10.1007/978-3-031-55264-9_5
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We introduce a new fifth-order A-WENO scheme based on the low-dissipation central-upwind numerical fluxes recently proposed in [A. Kurganov and R. Xin, preprint]. We apply the developed scheme to the one- and two-dimensional Euler equations of gas dynamics and illustrate its performance on a variety of examples. The obtained numerical results clearly demonstrate that the proposed A-WENO scheme is as robust and at the same time more accurate than the existing A-WENO schemes, which are based on alternative central-upwind fluxes.
机构:Southern University of Science and Technology,Department of Mathematics, Shenzhen International Center for Mathematics and Guangdong Provincial Key Laboratory of Computational Science and Material Design
Alexander Kurganov
Ruixiao Xin
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机构:Southern University of Science and Technology,Department of Mathematics, Shenzhen International Center for Mathematics and Guangdong Provincial Key Laboratory of Computational Science and Material Design
机构:
Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R ChinaOcean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
Wang, Bao-Shan
Don, Wai Sun
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机构:
Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R ChinaOcean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
Don, Wai Sun
Garg, Naveen K.
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机构:
Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
Indian Inst Sci, IISc Math Initiat IMI, Bangalore 560012, Karnataka, IndiaOcean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
Garg, Naveen K.
Kurganov, Alexander
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机构:
Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518055, Peoples R ChinaOcean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
机构:
Southern Univ Sci & Technol China, Dept Math, Shenzhen 518055, Peoples R China
Tulane Univ, Math Dept, New Orleans, LA 70118 USASouthern Univ Sci & Technol China, Dept Math, Shenzhen 518055, Peoples R China
Kurganov, Alexander
Prugger, Martina
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机构:
Univ Innsbruck, Dept Math, A-6020 Innsbruck, AustriaSouthern Univ Sci & Technol China, Dept Math, Shenzhen 518055, Peoples R China
Prugger, Martina
Wu, Tong
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机构:
North Carolina State Univ, Dept Math, Box 8205, Raleigh, NC 27695 USASouthern Univ Sci & Technol China, Dept Math, Shenzhen 518055, Peoples R China