为了更深入地研究激光与等离子体相互作用中受激Brillouin散射不稳定性的物理机制,建立了受激Brillouin散射三波耦合数学模型，根据方程组的形式以及数学特征, 采用算子分裂方法，坐标平移，高效的并行傅里叶变换和归约密度等算法，编制模拟受激Brillouin散射不稳定性的并行程序，并用数值算例证明其有效性，最后采用近3亿固定网格规模，扩展到4096个核上测试并行性能，并行效率达到81.6%。

In order to research the instability of stimulated Brillouin scattering(SBS) in the interaction of laser and plasma(LPI), three-wave mathematic models of SBS are established. According to the characteristic of equations, the operator splitting method, the coordinate transform, the parallel FFT and the reduce density algorithms are proposed. The numerical results demonstrate the validity of the algorithm. Scalability is demonstrated with a parallel efficiency above 81.6% with almost three hundred million meshes in 4096 cores.