Development of a local MQ-DQ-based stencil adaptive method and its application to solve incompressible Navier-Stokes equations

C. Shu; Y. Y. Shan; N. Qin

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Development of a local MQ-DQ-based stencil adaptive method and its application to solve incompressible Navier-Stokes equations

机译：基于局部MQ-DQ的模具自适应方法的开发及其在求解不可压缩的Navier-Stokes方程中的应用

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In this paper, a local stencil adaptive method is presented, which is designed for solving computational fluid dynamics (CFD) problems with curved boundaries accurately. A local multiquadric-differential quadrature (MQ-DQ) method is used to discretize the governing equations, taking advantage of its meshless nature. The present method bears the properties of both local MQ-DQ method and local stencil adaptive method and is thus named the local MQ-DQ-based stencil adaptive method. Two test problems with curved boundaries are solved to investigate the performance of this solution-adaptive method. The numerical results indicate that the proposed method is effective and efficient by combining the advantages of meshless property for complex geometries and local adaptation for accuracy improvement.

机译：本文提出了一种局部模版自适应方法，该方法旨在准确地解决带有弯曲边界的计算流体动力学（CFD）问题。利用其局部无网格性质，使用局部多二次方求积法（MQ-DQ）离散控制方程。本方法具有局部MQ-DQ方法和局部模版自适应方法的特性，因此被称为基于局部MQ-DQ的模版自适应方法。解决了两个带有弯曲边界的测试问题，以研究此解决方案自适应方法的性能。数值结果表明，该方法结合了复杂几何结构无网格特性和局部精度提高的优点，是一种有效而有效的方法。

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来源
《International Journal for Numerical Methods in Fluids》 |2007年第4期|共20页
作者
C. Shu; Y. Y. Shan; N. Qin;
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正文语种 eng
中图分类流体力学;
关键词
Local stencil adaptive method; Local MQ-DQ method; Complex geometry;

机译：局部模板自适应方法;局部MQ-DQ方法;复杂几何;

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专利

1. Development of a local MQ-DQ-based stencil adaptive method and its application to solve incompressible Navier-Stokes equations [J] . C. Shu, Y. Y. Shan, N. Qin International Journal for Numerical Methods in Fluids . 2007,第4期

机译：基于局部MQ-DQ的模具自适应方法的开发及其在求解不可压缩的Navier-Stokes方程中的应用
2. Adaptive mesh refinement-enhanced local DFD method and its application to solve Navier-Stokes equations [J] . Shu C, Wu YL International Journal for Numerical Methods in Fluids . 2006,第8期

机译：自适应网格细化增强局部DFD方法及其在求解Navier-Stokes方程中的应用
3. Incompressible Navier-stokes solver with extrapolation method suitable for massively parallel computing (Application of extrapolation method to N-S equations) [J] . Kenjiro SHIMANO, Yoshiyuki HAMAJIMA, Chuichi ARAKAWA JSME International Journal. Series B . 1997,第3期

机译：外推法不可压缩的Navier-stokes解算器，适用于大规模并行计算（外推法在N-S方程中的应用）
4. Application of GDQ scheme to solve incompressible Navier-Stokes equations in the curvilinear coordinate system [C] . C. Shu, Y. T. Chew SAE Conference . 1995

机译：GDQ方案在曲线坐标系中解决不可压缩Navier-Stokes方程的应用
5. Novel Immersed Interface Method for Solving the Incompressible Navier-Stokes Equations. [D] . Brehm, Christoph. 2011

机译：解决不可压缩的Navier-Stokes方程的新型浸入式界面方法。
6. A Numerical Method for Solving the 3D Unsteady Incompressible Navier-Stokes Equations in Curvilinear Domains with Complex Immersed Boundaries [O] . Liang Ge, Fotis Sotiropoulos -1

机译：具有复杂浸入边界的曲线域中求解3D非稳态不可压缩Navier-Stokes方程的数值方法
7. Incompressible Navier-Stokes Solver with Extrapolation Method Suitable for Massively Parallel Computing. (Application of Extrapolation Methodto N-S Equations). [O] . Kenjiro SHIMANO, Yoshiyuki HAMAJIMA, Chuichi ARAKAWA 1997

机译：具有外推方法的不可压缩的Navier-Stokes求解器，适用于大规模平行计算。（外推法在N-S方程中的应用）。
8. Riemann Solvers for Solving the Incompressible Navier-Stokes Equations Using theArtificial Compressibility Method [R] . Elsworth, D. T., Toro, E. F. 1992

机译：利用人工可压缩性方法求解不可压缩Navier-stokes方程的黎曼解算器

Development of a local MQ-DQ-based stencil adaptive method and its application to solve incompressible Navier-Stokes equations

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