标题： 天体物理学中的晶粒生长与不连续伽辽金格式 显示英文标题

标题： Grain growth for astrophysics with Discontinuous Galerkin schemes

摘要： 根据其大小，尘埃颗粒存储的电荷更多或更少，催化更多的或更少的化学反应，拦截更多的或更少的光子，并更有效地粘附以形成行星胚胎。 因此，在数值建模中需要对尘埃凝聚和破碎进行精确处理。 然而，现有的求解凝聚方程的算法在3D模拟条件下过于扩散。 我们通过开发基于不连续伽辽金方法的高阶求解器来解决这一挑战。 该算法可以将质量守恒到机器精度，并允许使用非常有限的尘埃箱准确计算尘埃颗粒在多个数量级尺寸上的增长。 显示英文摘要

摘要： Depending on their sizes, dust grains store more or less charges, catalyse more or less chemical reactions, intercept more or less photons and stick more or less efficiently to form embryos of planets. Hence the need for an accurate treatment of dust coagulation and fragmentation in numerical modelling. However, existing algorithms for solving the coagulation equation are over-diffusive in the conditions of 3D simulations. We address this challenge by developing a high-order solver based on the Discontinuous Galerkin method. This algorithm conserves mass to machine precision and allows to compute accurately the growth of dust grains over several orders of magnitude in size with a very limited number of dust bins.