有限体积方案求解非线性聚集-破碎人口平衡方程的收敛性分析
Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations
AI总结：
本文分析了有限体积方案在求解聚集、破碎及耦合过程中的稳定性与收敛性，证明了该方案在不同网格下对纯破碎问题具有二阶收敛性，而在非均匀网格上对非均匀网格仅显示一阶收敛性。
摘要：
本文分析了有限体积方案在求解聚集、破碎及耦合过程中的稳定性与收敛性，证明了该方案在不同网格下对纯破碎问题具有二阶收敛性，而在非均匀网格上对非均匀网格仅显示一阶收敛性。
英文摘要：
This paper presents stability and convergence analysis of a finite volume scheme (FVS) for solving aggregation, breakage and the combined processes by showing Lipschitz continuity of the numerical fluxes. It is shown that the FVS is second order convergent independently of the meshes for pure breakage problem while for pure aggregation and coupled equations, it shows second order convergent on uniform and non-uniform smooth meshes. Furthermore, it gives only first order convergence on non-uniform grids. The mathematical results of convergence analysis are also demonstrated numerically for several test problems.
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