基于极小作用方法和高精度算法的湍流生成机理研究

91852116
2018
A0501.算法基础理论与构造方法
于海军
重大研究计划
研究员
中国科学院数学与系统科学研究院
97万元
极小作用方法;湍流生成;谱和谱元方法;不可压纳维-斯托克斯方程;大偏差理论
2019-01-01到2021-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 A new 6th-order WENO scheme with modified stencils 期刊论文 Yahui Wang;Yulong Du;Kunlei Zhao;Li Yuan
2 基于PHG平台的非结构四面体网格欧拉方程间断有限元并行求解器 期刊论文 杜玉龙;徐凯文;赵昆磊;袁礼
3 OnsagerNet: Learning stable and interpretable dynamics using a generalized Onsager principle 期刊论文 Haijun Yu;Xinyuan Tian;Weinan E.;Qianxiao Li
4 PowerNet: efficient representations of polynomials and smooth functions by deep neural networks with rectified power units 期刊论文 Li Bo;Tang Shanshan;Yu Haijun
5 A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems 期刊论文 Yulong Du;Yahui Wang;Li Yuan
6 Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows 期刊论文 Lijun Hu;Li Yuan;Kunlei Zhao
7 Fixing the residual flattening of an upwind compact scheme for steady incompressible flows in enclosed domains 期刊论文 Yunchu Wang;Li Yuan
8 Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes 期刊论文 Yahui Wang;Yulong Du;Kunlei Zhao;Li Yuan
9 Efficient spectral methods for quasi-equilibrium closure approximations of symmetric problems on unit circle and sphere 期刊论文 Shan Jiang;Haijun Yu
10 A low-dissipation third-order weighted essentially nonoscillatory scheme with a new reference smoothness indicator 期刊论文 Yahui Wang;Yulong Du;Kunlei Zhao;Li Yuan
11 Energy-stable second-order linear schemes for the Allen-Cahn phase-field equation 期刊论文 Wang Lin;Yu Haijun
12 An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow 期刊论文 Lin Wang;Haijun Yu
13 A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers’ and Navier-Stokes Equations in Polar Cylindrical Coordinates 期刊论文 R. K. Mohanty;Li Yuan;Divya Sharma
14 A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows 期刊论文 Lijun Hu;Li Yuan
15 Better approximations of high dimensional smooth functions by deep neural networks with rectified power units 期刊论文 Bo Li;Shanshan Tang;Haijun Yu
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