Accelerated Method for Simulating the Solidification Microstructure of Continuous Casting Billets on GPUs

. 2025 Apr 25;18(9):1955. doi: 10.3390/ma18091955

Algorithm 1. Two methods for solute redistribution at S/L interface.

\begin{array}{l} n a i v e v e r s i o n \\ s o l u t e A d d \\ 1 . C_{l} + = \sum_{i = 0}^{8} d {C^{i}}_{i d x i} / (1 - f_{s i d x}); \\ U p d a t e \\ 2 . d C^{i} = 0; \\ 3 . d C = 0; \\ r e d e s i g n e d v e r s i o n \\ s o l u t e A d d \\ 1 . C_{l} + = \sum_{i = 0}^{8} d {C^{i}}_{i d x i} (d C_{i d x i} > 0) / (1 - f_{s i d x}); \\ U p d a t e \\ 2 . d C = 0; \end{array}