An Efficient Parallel Algorithm on Multi-block Structure Meshes for Radiation Diffusion in Inertial Confinement Fusion Implosion

doi:10.19596/j.cnki.1001-246x.8419

Abstract

Abstract:

For high efficiency simulation of three-dimensional spherical implosion and the difficulty of adding radiation source on traditional Cartesian orthogonal grid, a multi-block non-orthogonal mesh generation method is developed. An efficient parallel algorithm of three-dimensional diffusion scheme on these meshes is proposed. It was applied to the simulation of radiation hydrodynamic equations and the asymmetry study in three-dimensional implosion problems. Effectiveness of the algorithm is shown. Scalability is demonstrated with a parallel efficiency above 69% on 5400 processors.

Key words: multi-block structure meshes, diffusion equation, inertial confinement fusion implosion, parallel algorithm

Xiaoyan HU, Zhengfeng FAN. An Efficient Parallel Algorithm on Multi-block Structure Meshes for Radiation Diffusion in Inertial Confinement Fusion Implosion[J]. Chinese Journal of Computational Physics, 2022, 39(3): 277-285.

Figures/Tables 10

Fig.1 (a) Spherical grid generation; (b) Six-block spherical grid; (c) Computational control volume

Fig.2 (a) 9-point on a single block and (b) boundary between multiple blocks

Fig.3 Domain decomposition in a block

Fig.4 l=0 and l = 1 processes on radius

Fig.5 Order of convergence in space

Fig.6 Initial states in deceleration phase

Fig.7 Density, radiation temperature and velocity profiles at 0.4 ns

Fig.8 (a) Initial target configuration; (b) Radiation temperature source; (c) Drive asymmetric source profile

Fig.9 Isosurfaces of electron temperature and density at stagnation time

Table 1 Parallel performance

CPU核数	计算时间/min	并行效率/%
675	437	100
1 350	237	92.2
2 700	133	82.1
5 400	79	69.1

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