THE PROPERTY OF THE BRANCH OF NONSINGULAR FINITE ELEMENT/FINITE VOLUME SOLUTIONS TO THE STATIONARY NAVIER-STOKES EQUATIONS AND ITS APPLICATION

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THE PROPERTY OF THE BRANCH OF NONSINGULAR FINITE ELEMENT/FINITE VOLUME SOLUTIONS TO THE STATIONARY NAVIER-STOKES EQUATIONS AND ITS APPLICATION

机译：静止Navier-Stokes方程的非奇形有限元/有限卷解决方案分支的特性及其应用

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In this paper, a branch of nonsingular solutions of the stationary Navier-Stokes equations are investigated, which are unique on a neighborhood, and mostly isolated without relying on very stringent requirement on the small data. We summarize and develop an equivalent definition of nonsingular solutions of finite element/finite volume methods in the same framework. Furthermore, we establish the equivalent definition of a branch of singular solutions of finite element methods for the coupled Navier-Stokes/Darcy equations.

机译：在本文中，研究了静止Navier-Stokes方程的非界面解决方案的分支，在附近是独一无二的，并且大多数孤立而不依赖于对小数据的非常严格的要求。我们总结并开发了同一框架中有限元/有限体积方法的非术解的等同定义。此外，我们建立了耦合Navier-Stokes / Darcy方程的有限元方法的单数解的等效定义。

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《International journal of numerical analysis and modeling》 |2020年第1期|共12页
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正文语种 eng
中图分类运筹学;
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Stationary Navier-Stokes equations; finite element methods; finite volume methods; the branch of nonsingular solutions; inf-sup condition; large data;

机译：静止Navier-Stokes方程式;有限元方法;有限体积方法;非扫描解决方案的分支;INF-SUP条件;大数据;

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专利

1. THE PROPERTY OF THE BRANCH OF NONSINGULAR FINITE ELEMENT/FINITE VOLUME SOLUTIONS TO THE STATIONARY NAVIER-STOKES EQUATIONS AND ITS APPLICATION [J] . International journal of numerical analysis and modeling . 2020,第1期

机译：静止Navier-Stokes方程的非奇形有限元/有限卷解决方案分支的特性及其应用
2. FINITE ELEMENT/FINITE VOLUME SOLUTIONS OF FULL POTENTIAL, EULER AND NAVIER-STOKES EQUATIONS FOR COMPRESSIBLE AND INCOMPRESSIBLE FLOWS [J] . M. Hafez International Journal for Numerical Methods in Fluids . 1995,第8a9期

机译：可压缩和不可压缩流的全势，EULER和Navier-Stokes方程的有限元/有限体积解
3. A STABILIZED CRANK-NICOLSON MIXED FINITE VOLUME ELEMENT FORMULATION FOR THE NON-STATIONARY PARABOLIZED NAVIER-STOKES EQUATIONS [J] . Zhendong LUO 数学物理学报（英文版） . 2015,第005期

机译：非平稳抛物面Navier-Stokes方程的稳定的Crank-NICOLSON混合有限体积公式
4. A fully coupled Control Volume Finite Element Method for the solution of the incompressible navier-stokes equations [C] . Idriss Ammara, Christian Masson CFD Society of Canada . 2002

机译：一种完全耦合的控制量有限元方法，用于对Navier-Stokes方程的解决方案解决方案
5. Parallel, Block-Based, Adaptive Mesh Refinement, Finite-Volume Scheme for Solution of Three-Dimensional Favre-Averaged Navier-Stokes Equations. [D] . Prasad, Shawn. 2013

机译：并行，基于块的自适应网格细化有限体积方案，用于求解三维均值平均Navier-Stokes方程。
6. A Crank–Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity–stream functions [O] . Yanjie Zhou, Zhendong Luo, Fei Teng -1

机译：关于涡旋-流函数的二维非平稳斯托克斯方程的Crank-Nicolson有限谱元方法
7. Finite-Element Methods for Singularly Perturbed Elliptic Boundary Value Problems and its Application to the Stationary Navier-Stokes Equations [O] . Herbert Goering, Lutz Tobiska 1989

机译：单个扰动椭圆边值问题的有限元方法及其在静止Navier-Stokes方程中的应用
8. Resolution Par Elements des Equations de Navier-Stokes Compressibles (Finite Element Solution of Navier-Stokes Equations) [R] . Kalfon, D., Volpert, D. 1986

机译：分辨率par Elements des Equations de Navier-stokes Compressibles（Navier-stokes方程的有限元解）

THE PROPERTY OF THE BRANCH OF NONSINGULAR FINITE ELEMENT/FINITE VOLUME SOLUTIONS TO THE STATIONARY NAVIER-STOKES EQUATIONS AND ITS APPLICATION

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