用间断Galerkin格式研究天体物理中的晶粒生长
Grain growth for astrophysics with Discontinuous Galerkin schemes
摘要：
根据其大小，尘埃颗粒储存或多或少的电荷，催化或多或少的化学反应，拦截或多或少的光子，并或多或少有效地粘附以形成行星的胚胎。因此，需要在数值模拟中精确处理粉尘凝聚和破碎。然而，现有的算法求解凝固方程是过度扩散的条件下的3D模拟。我们通过开发一个基于间断Galerkin方法的高阶求解器来解决这一挑战。该算法节省了机器精度的质量，并允许用非常有限数量的灰尘箱精确计算几个数量级大小的灰尘颗粒的生长。
英文摘要：
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.
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