GRACE-DG：一种基于间断伽辽金方法求解一般非线性凝聚-破碎方程的代码
GRACE-DG: A Discontinuous Galerkin Method-Based Code for General Nonlinear Coagulation-Fragmentation Equations
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中文总结 AI 辅助
研究利用基于高阶间断伽辽金方法的GRACE-DG求解碰撞诱导的凝聚-破碎方程，推导新守恒公式捕捉质量转移过程，新求解器在耦合模拟中收敛性好，适合集成到流体动力学代码。
中文摘要 AI 辅助
尘埃在原行星盘演化和行星形成中起关键作用，通过气-尘耦合影响盘动力学等。本文开发了基于高阶间断伽辽金（DG）方法的开源代码GRACE-DG来求解碰撞诱导的凝聚-破碎方程。特别推导了非线性破碎项的新守恒公式，使DG方法能捕捉质量转移过程。新求解器在耦合聚集和破碎模拟中收敛性良好，适合未来集成到流体动力学代码中。
英文摘要
Dust plays a crucial role in protoplanetary disks (PPDs) evolution and planet formation, influencing disk dynamics through gas-dust coupling, regulating disk temperature by dominating continuum opacity, and altering disk ionization fraction by capturing free electrons. In this work, we develop a high-order discontinuous Galerkin (DG) method-based open-source code GRACE-DG to solve the collision-induced coagulation-fragmentation equations. In particular, we have derived a new conservative formulation for the non-linear fragmentation term, which enables the DG method to capture the mass transfer process. The new solver exhibits good convergence in coupled aggregation and breakage simulations, making it highly suitable for future integration into hydrodynamic codes.
