Incompressible Navier-stokes solver with extrapolation method suitable for massively parallel computing (Application of extrapolation method to linear equation)

Kenjiro SHIMANO; Chuichi ARAKAWA

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Incompressible Navier-stokes solver with extrapolation method suitable for massively parallel computing (Application of extrapolation method to linear equation)

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（外推法在线性方程中的应用）

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摘要

A massively parallel computer, which has a large number of processors, is expect- ed to become the main instrument for scientific numerical analysis including the CFD field, It has been pointed out that efficiency of parallel computing becomes worse when the number of processors increases and granularity comes to fine. Therefore an accelerative technique should be introduced to achieve nearly maximum performance of the massively parallel computer.

机译：带有处理器的大型并行计算机有望成为包括CFD领域在内的科学数值分析的主要工具。已经指出，随着处理器数量的增加，并行计算的效率会变差。粒度达到最佳。因此，应该引入一种加速技术来实现大规模并行计算机的几乎最大性能。

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《JSME International Journal. Series B》 |1997年第3期|p.351-357|共7页
作者
Kenjiro SHIMANO; Chuichi ARAKAWA;
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正文语种 eng
中图分类机械学（机械设计基础理论）;能源与动力工程;
关键词
Computational fluid dynamics; Numerical analysis; Finite volume method;

机译：计算流体动力学;数值分析;有限体积法;

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专利

1. 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）
2. An application of Romberg extrapolation on quadrature method for solving linear Volterra integral equations of the second kind [J] . Mestrovic M, Ocvirk E Applied mathematics and computation . 2007,第2期

机译：Romberg外推法在正交方法上求解第二类线性Volterra积分方程的应用
3. Second-Order Convergence of the Linearly Extrapolated Crank-Nicolson Method for the Navier-Stokes Equations with H~1 Initial Data [J] . Li Buyang, Ma Shu, Wang Na Journal of Scientific Computing . 2021,第3期

机译：具有H〜1初始数据的Navier-Stokes方程的线性外推曲柄方法的二阶融合
4. A Nonlinear Subgrid Stabilization Parameter-Free Method to Solve Incompressible Navier-Stokes Equations at High Reynolds Numbers [C] . Riedson Baptista, Sérgio S. Bento, Leonardo M. Lima, International conference on computational science and its applications . 2019

机译：解高雷诺数下不可压缩的Navier-Stokes方程的非线性子网格稳定无参数方法
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 Linear Equation). [O] . Kenjiro SHIMANO, 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。（外推方法的应用线性方程）。
8. Simple Iterative Linear Solver for the 3D Incompressible Navier-Stokes EquationsDiscretized by the Finite Element Method [R] . Segal, G., Vuik, K. 1995

机译：三维不可压缩Navier-stokes方程的简单迭代线性解法有限元法分解

Incompressible Navier-stokes solver with extrapolation method suitable for massively parallel computing (Application of extrapolation method to linear equation)

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