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Parallel exponential time differencing methods for geophysical flow simulations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 卷号: 387, 页码: 24
Authors:  Lan, Rihui;  Leng, Wei;  Wang, Zhu;  Ju, Lili;  Gunzburger, Max
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Shallow water equations  Primitive equations  Exponential time differencing  Parallel computing  Barotropic/baroclinic splitting  
PLANAR VORTICES IN A BOUNDED DOMAIN WITH A HOLE 期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2021, 卷号: 29, 期号: 6, 页码: 4229-4241
Authors:  Yan, Shusen;  Yu, Weilin
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The Euler flow  semilinear elliptic equation  variational method  free boundary problem  reduction  
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle 期刊论文
ANNALS OF PDE, 2021, 卷号: 7, 期号: 2, 页码: 96
Authors:  Huang, Feimin;  Kuang, Jie;  Wang, Dehua;  Xiang, Wei
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Transonic flow  Contact discontinuity  Free boundary  Compressible Euler flow  Finitely long nozzle  
Subdivision based isogeometric analysis for geometric flows 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 24
Authors:  Pan, Qing;  Rabczuk, Timon;  Chen, Chong
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extended Loop subdivision  geometric flows  isogeometric analysis  
A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows 期刊论文
COMPUTERS & FLUIDS, 2021, 卷号: 227, 页码: 16
Authors:  Hu, Lijun;  Yuan, Li
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Euler equations  Centred schemes  FORCE scheme  Contact discontinuity  Carbuncle phenomenon  Boundary variation diminishing  
ON THE STABILITY OF TWO-DIMENSIONAL NONISENTROPIC ELASTIC VORTEX SHEETS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2519-2533
Authors:  Chen, Robin ming;  Huang, F. E. I. M. I. N.;  Wang, D. E. H. U. A.;  Yuan, D. I. F. A. N.
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Vortex sheets  Elastodynamics  contact discontinuities  stability  
Steady vortex patches near a nontrivial irrotational flow 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 5, 页码: 947-962
Authors:  Cao, Daomin;  Wang, Guodong;  Zhan, Weicheng
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Euler equation  incompressible fluids  vortex patch  variational problem  irrotational flow  
STABILITY OF CONICAL SHOCKS IN THE THREE-DIMENSIONAL STEADY SUPERSONIC ISOTHERMAL FLOWS PAST LIPSCHITZ PERTURBED CONES 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 3, 页码: 2811-2862
Authors:  Chen, Gui-Qiang G.;  Kuang, Jie;  Zhang, Yongqian
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conical shocks  structural stability  steady flow  supersonic isothermal flow  perturbed cones  Lipschitz cones  entropy solutions  BV  modified Glimm scheme  TV  Glimm-type functional  self-similar solutions  interaction estimates  reflection coefficients  free boundary  asymptotic behavior  
Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows 期刊论文
COMPUTERS & FLUIDS, 2020, 卷号: 213, 页码: 15
Authors:  Hu, Lijun;  Yuan, Li;  Zhao, Kunlei
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Euler equations  HLL-type Riemann solver  Genuinely two-dimensional  Zha-Bilgen splitting  Carbuncle phenomenon  Shock instability  
Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 487, 期号: 2, 页码: 15
Authors:  Wang, Guodong;  Zuo, Bijun
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Euler equations  Vortex patch  Variational problem  Limiting behavior