Hamiltonian structure of CIVA-particle method in two-dimensional passive scalar advection problem

机译：三维无源标量平流问题中雪橇粒子法的汉密尔顿结构

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This paper presents improvement of the CIVA-based Lagrangian mesh-free method, namely the CIVA-particle method, for CFD. CIVA is a flexible, accurate and stable interpolation method, which extends the CIP method for mesh-free methods based on N-simplex and barycentric coordinates. However, the CIVA-particle method with the conventional time integrators is subject to problems in that the invariants of the system are not preserved in a long-time computation. In order to solve the problems, symplectic time integrators are applied in this study.

机译：本文提出了基于Civa的Lagrangian网状方法，即CICA粒子方法的改进。 CIVA是一种灵活，准确稳定的内插方法，其基于N-Simplex和重心坐标的无网线方法扩展了CIP方法。然而，具有传统时间积分商的Civa粒子方法受到问题的问题，因为系统的不变性不保留在长期计算中。为了解决问题，在本研究中应用了辛的时间集成商。

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《MIT Conference on Computational Fluid and Solid Mechanics》|2001年||共4页
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作者
Nobuatsu Tanaka;
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正文语种
中图分类 O35-53;
关键词
Mesh-free; CIVA; Particle method; Hamiltonian; Symplectic integrator;

机译：无网图;奇维娜;颗粒方法;哈密顿;杂项积分器;

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专利

1. Diffusion of a passive scalar from a no-slip boundary into a two-dimensional chaotic advection field [J] . Ghosh S., Wiggins S., Leonard A. Journal of Fluid Mechanics . 1998,第0期

机译：被动标量从无滑移边界扩散到二维混沌对流场
2. Eulerian statistically preserved structures in passive scalar advection - art. no. 036303 [J] . Cohen Y., Pomyalov A., Procaccia I. Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics . 2003,第3aPta2期

机译：被动标量对流中的欧拉统计保留结构-艺术。没有。 036303
3. Statistically preserved structures in shell models of passive scalar advection - art. no. 026314 [J] . Cohen Y., Gilbert T., Procaccia I. Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics . 2002,第2aPta2期

机译：被动标量对流壳模型中的统计保留结构-艺术。没有。 026314
4. Hamiltonian structure of CIVA-particle method in two-dimensional passive scalar advection problem [C] . Nobuatsu Tanaka MIT Conference on Computational Fluid and Solid Mechanics Vol.2 Jun 12-15, 2001 . 2001

机译：二维被动标量对流问题中CIVA粒子法的哈密顿结构
5. The role of various geometrical structures in scalar advection-diffusion. [D] . Ghosh, Shubhro. 1994

机译：各种几何结构在标量对流扩散中的作用。
6. Conformational Sampling of Oligosaccharides Using Hamiltonian Replica Exchange with Two-Dimensional Dihedral Biasing Potentials and the Weighted Histogram Analysis Method (WHAM) [O] . Mingjun Yang, Alexander D. MacKerell Jr. -1

机译：使用汉密尔顿副本交换与二维二面角偏置电位和加权直方图分析方法对寡糖进行构象采样
7. Diffusion of a passive scalar from a no-slip boundary into a two-dimensional chaotic advection field [O] . Ghosh S, Leonard A., Wiggins S. 1998

机译：被动标量从无滑移边界扩散到二维混沌对流场

Hamiltonian structure of CIVA-particle method in two-dimensional passive scalar advection problem

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