Node-based parallel computing of three-dimensional incompressible flows using the free mesh method

Fujisawa, Toshimitsu; Ito, Satoshi; Inaba, Masamitsu; Yagawa, Genki

doi:10.1016/s0955-7997(03)00097-3

Cited by 3 publications

(2 citation statements)

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“…已有的并行数值方法大致可分为两大类: 并行离散方法 [6][7][8][9][10][11] 和离散所得代数方程组的并行求解方法 [12][13][14][15][16] . 并行策略包括基于单元级的 EBE (Element-by-element) [17] , EDE(Edgeby-edge) [18] , NBN(Node-by-node) [19] 方法、重叠型区域分解 [20][21][22][23] 与非重叠型区域分解算法 [24][25][26][27] 和并行两重或多重网格方法 [28][29][30][31][32][33] 以及并行自适应方法 [34][35][36] 等. 对于一个并行数值算法而言, 除了应具有通常意义下一个数值算法应具有的数值特征 (稳定性、收敛性和准确性等) 和良好的并行性外, 较少的通信需求和较容易的编程实现更是应考虑的重要因素.…”

Section: 引言unclassified

Parallel numerical methods for incompressible flows

Shang¹,

He²

2013

Sci. Sin.-Math.

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The simulation of incompressible flows consists of an important part of computational fluid dynamics. Based on finite element discretization, this paper develops several parallel numerical methods for the incompressible flows governed by the Navier-Stokes (N-S) equations, which can be classified into two classes: one is based on two-grid discretization, where the fully nonlinear N-S equations are first solved on a coarse grid, and the correction is then calculated on a fine grid by solving a linear residual problem in a parallel manner; the other is based on a novel fully overlapping domain decomposition technique, where each processor computes a local finite element solution in its own sub-domain using a global multiscale mesh that is locally refined around its own sub-domain. These parallel numerical methods are easy to implement. They have low communication complexity, and can yield a finite element solution with the same order of convergence rate as the standard finite element methods. Theoretical analysis and numerical tests demonstrated the high efficiency of the studied methods.

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Section: 引言unclassified

Parallel numerical methods for incompressible flows

Shang¹,

He²

2013

Sci. Sin.-Math.

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“…Η τυπική μέθοδος των πεπερασμένων στοιχείων βασίζεται στην κατά Galerkin έκφραση των σταθμισμένων υπολοίπων. Αυτή η έκφραση αποδείχθηκε εξαιρετικά αποτελεσματική [Donea & Huerta 2001] στα προβλήματα της μηχανικής στερεών, την α ν ά π τ υ ξ η θ ε ω ρ η τ ι κ ο ύ μ ο ν τ έ λ ο υ [Fujisawa et al 2004]. Αντίστοιχη ραγδαία εξέλιξη και ποικιλία παρουσιάζουν και οι μέθοδοι γένεσης του πλέγματος, με αποτέλεσμα να θεωρείται πώς δεν υπάρχει α ν ά π τ υ ξ η θ ε ω ρ η τ ι κ ο ύ μ ο ν τ έ λ ο υ α ν ά π τ υ ξ η θ ε ω ρ η τ ι κ ο ύ μ ο ν τ έ λ ο υ ως αποτέλεσμα τη μετακίνηση αέριας μάζας από ένα σημείο στο άλλο.…”

Section: β12 μέθοδος πεπερασμένων στοιχείωνunclassified