Nonlinear subgrid embedded finite-element basis for steady monotone CFD solutions, Part II: Benchmark Navier-Stokes solutions

Roy S.; Baker AJ.

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Nonlinear subgrid embedded finite-element basis for steady monotone CFD solutions, Part II: Benchmark Navier-Stokes solutions

机译：稳态单调CFD解决方案的非线性子网格嵌入式有限元基础，第二部分：基准Navier-Stokes解决方案

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A nonlinear subgrid embedded (SGM) finite-element basis is established for generating monotone solutions via a CFD weak statement algorithm. The theory confirms that only the Navier-Stokes dissipative flux vector term is appropriate for implementation of the SGM, which thereafter employs element-level static condensation for efficiency and nodal-rank homogeniety. Numerical results for select benchmark compressible and incompressible steady-state Navier-Stokes problem definitions are presented, confirming theoretical prediction for attainment of monotone solutions devoid of excess numerical diffusion on minimal-degree-of-freedom meshes. [References: 30]

机译：建立了非线性子网格嵌入式（SGM）有限元基础，以通过CFD弱语句算法生成单调解。该理论证实，只有Navier-Stokes耗散通量矢量项才适合SGM的实现，SGM随后采用元素级静态凝聚来提高效率和节点秩均一性。给出了选定基准可压缩和不可压缩稳态Navier-Stokes问题定义的数值结果，从而为获得在最小自由度网格上没有过多数值扩散的单调解的实现提供了理论预测。 [参考：30]

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《Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology》 |1998年第1期|共32页
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Roy S.; Baker AJ.;
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1. Nonlinear subgrid embedded finite-element basis for steady monotone CFD solutions, Part II: Benchmark Navier-Stokes solutions [J] . Roy S., Baker AJ. Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 1998,第1期

机译：稳态单调CFD解决方案的非线性子网格嵌入式有限元基础，第二部分：基准Navier-Stokes解决方案
2. The existence of a solution with finite Dirichlet integral for the steady Navier-Stokes equations in a plane exterior symmetric domainThe existence of a solution with finite Dirichlet integral for the steady Navier-Stokes equations in a plane exterior symmetric domain [J] . Mikhail Korobkov, Konstantin Pileckas, Remigio Russo Journal de Mathematiques Pures et Appliquees . 2014,第3期

机译：平面外部对称域中稳定Navier-Stokes方程的有限Dirichlet积分解的存在性平面外部对称域中稳定Navier-Stokes方程的有限Dirichlet积分解的存在
3. Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: rigorous reduced-basis a posteriori error bounds [J] . Veroy K, Patera AT International Journal for Numerical Methods in Fluids . 2005,第8a9期

机译：经认证的参数化稳定不可压缩Navier-Stokes方程的实时解决方案：严格的减少基后验误差界限
4. NONLINEAR SUBGRID EMBEDDED ELEMENT-FREE GALERKIN METHOD FOR MONOTONE CFD SOLUTIONS [C] . Subrata Roy, Mark Fleming ASME/JSME Joint Fluids Engineering Conference . 2000

机译：单调CFD解决方案的非线性亚底嵌入元素无元素Galerkin方法
5. Time-periodic solutions of magnetoelastic systems and embedding of the attractor of 2-dimensional Navier-Stokes equations into euclidean spaces [D] . Mohebbi, Mahdi 2013

机译：磁弹性系统的时间周期解和二维Navier-Stokes方程吸引子嵌入欧氏空间
6. On the Uniform Convergence of the Solutions of the Navier-Stokes Equations [O] . T. Y. Thomas 1943

机译：Navier-Stokes方程解的一致收敛性
7. A Non-Linear, Sub-Grid Embedded Finite Element Basis For Accurate Monotone Steady Cfd Solutions [O] . Subrata Roy, A.J. Baker 1997

机译：非线性，子网格嵌入式有限元基础，用于精确单调稳定Cfd解

Nonlinear subgrid embedded finite-element basis for steady monotone CFD solutions, Part II: Benchmark Navier-Stokes solutions

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