It is crucial to understand the degradation of implosion performance caused by three-dimensional physics and the implementation of 3-D spherical mesh is challenging. In this paper a mesh generation method based on the cube spherical projection is proposed for 3D implosion problem in Inertial Confinement Fusion (ICF). This kind of mesh has the advantage of good quality, convenient adding radiation source and adaptive moving in the radial direction. Together, a mathematical model of radiation hydrodynamics with ion-electron non-equilibrium is present. The equations of radiation hydrodynamics are solved with the operator splitting method, such that the hydrodynamics equations are solved explicitly making use of the capability of well understood explicit schemes while the radiation diffusion and electron/ion conduction parts are solved implicitly by an eleven-point scheme on the non-orthogonal mesh. We present results from several benchmark problems in order to validate our numerical scheme. And finally, we investigate the development of fourth-order modes and compute the disturbance growth process of hot spot boundary, which shown that it conforms to the physical law.

至关重要的是要了解由三维物理造成的内爆性能下降，并且3-D球形网格的实现具有挑战性。针对惯性约束融合（ICF）中的3D内爆问题，提出了一种基于立方体球形投影的网格生成方法。这种网具有质量好，添加辐射源方便，沿径向自适应移动的优点。一起，存在具有离子电子非平衡的辐射流体动力学的数学模型。用算子分裂法求解辐射流体动力学方程，这样，就可以利用众所周知的显式方案的能力来显式地求解流体力学方程，而在非正交网格上通过十一点方案来隐式地解决辐射扩散和电子/离子传导部分。为了验证我们的数值方案，我们提出了一些基准问题的结果。最后，我们研究了四阶模态的发展，并计算了热点边界的扰动增长过程，表明其符合物理定律。