A novel GPU-parallelized meshless method for solving compressible turbulent flows

Zhang, Jia-Le; Chen, Hongquan; Xu, Shengguan; Gao, Han

doi:10.1016/j.camwa.2020.08.030

Cited by 4 publications

(2 citation statements)

References 39 publications

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“…A parallel algorithm was used with multi-layered point reordering to deal with the negative impact of irregularly distributed nodes on the memory of the processor unit. In another work, the parallel meshless WLSCF method was used to model turbulent flows (Zhang et al, 2020), where high levels of speedup were obtained for 2-and 3-D problems. A functional programming based parallel algorithm for meshless methods was presented by Barbosa et al (2021).…”

Section: Introductionmentioning

confidence: 99%

Parallel Meshless Radial Basis Function Collocation Method for Neutron Diffusion Problems

Tanbay

2024

UUJFE

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The meshless global radial basis function (RBF) collocation method is widely used to model physical phenomena in science and engineering. The method produces highly accurate solutions with an exponential convergence rate. However, due to the global approximation structure of the method, dense node distributions lead to long computation times and hinder the applicability of the technique. In order to overcome this issue, this study proposes a parallel meshless global RBF collocation algorithm. The algorithm is applied to 2-D neutron diffusion problems. The multiquadric is used as the RBF. The algorithm is developed with Mathematica and eight virtual processors are used in calculations on a multicore computer with four physical cores. The method provides accurate numerical results in a stable manner. Parallel speedup increases with the number of processors up to five and seven processors for external and fission source problems, respectively. The speedup values are limited by the constrained resource sharing of the multicore computer’s memory. On the other hand, significant time savings are achieved with parallel computation. For the four-group fission source problem, when 4316 interpolation nodes are employed, the utilization of seven processors instead of sequential computation decreases the computation time of the meshless approach by 716 s.

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Section: Introductionmentioning

confidence: 99%

Parallel Meshless Radial Basis Function Collocation Method for Neutron Diffusion Problems

Tanbay

2024

UUJFE

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“…The numerical results confirm that their method can realize the speedup of more than one order of magnitude. Zhang [29] proposed a GPU-based parallel gridless method to compute Navier-Stokes equations, simulated turbulence with the Spalart-Allmaras model. In this way, they efficiently solved the flow around an airfoil.…”

Section: Introductionmentioning

confidence: 99%

Parallel Numerical Simulation of Complex Unsteady Multi-Component Three-Dimensional Flow Field of Nonequilibrium Chemical Reaction

et al. 2022

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In this paper, the gridless method, which is known for its complete independence of grids, is combined with parallel method to obtain a dynamic parallel multicomponent three-dimensional (3D) gridless method to compute the complex unsteady multi-component 3D flow field of nonequilibrium chemical reaction (NCR). Specifically, the flow field was described with a multi-component arbitrary Lagrangian-Eulerian (ALE) control equation, which contains the source term of the chemical reaction. The flow term was decoupled from the chemical reaction term, and the stiff problem of the latter term was solved by time splitting. To control the convective flux in the control equation, the multi-component artificially upstream flux vector splitting (AUFS) scheme was derived for the 3D space. In addition, 3D local point cloud reconstruction was carried out to reconstruct the abnormal point cloud near the large moving boundary in real time. Besides, geometrical zoning was adopted for the parallel part to dynamically balance the computing load across different zones. The message passing interface (MPI) was selected to realize the communication between the zones. After that, the proposed multi-component gridless algorithm was proven accurate through two examples: hydrogen combustion reaction in a vessel, and shock-induced combustion with blunt projectile. Finally, the proposed dynamic parallel multi-component 3D gridless method was applied to compute the 3D muzzle flow field of prefilled serial-connected projectiles. The evolution of the complex flow field was obtained for projectile 2. The parallel efficiency of our method surpassed 79%.

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Research on GPU parallel algorithm for direct numerical solution of two-dimensional compressible flows

2021

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A novel GPU-parallelized meshless method for solving compressible turbulent flows

Cited by 4 publications

References 39 publications

Parallel Meshless Radial Basis Function Collocation Method for Neutron Diffusion Problems

Parallel Meshless Radial Basis Function Collocation Method for Neutron Diffusion Problems

Parallel Numerical Simulation of Complex Unsteady Multi-Component Three-Dimensional Flow Field of Nonequilibrium Chemical Reaction

Research on GPU parallel algorithm for direct numerical solution of two-dimensional compressible flows

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