对流占优扩散问题的高精度守恒分裂方法研究High Accurate Conservative Splitting Methods for Convection-Dominated Diffusion Problems
郑岩杰,付凯
摘要(Abstract):
本文研究了高维对流扩散方程的高阶守恒维数分裂方法。该方法具有空间四阶精度和时间二阶精度,且可应用大时间步长进行计算,提高计算效率。通过理论分析证明了格式的守恒性质,并进一步通过数值算例验证了方法的精度和守恒性。
关键词(KeyWords): 对流扩散方程;对流占优;质量守恒;Semi-Lagrangian方法;维数分裂方法
基金项目(Foundation): 国家自然科学基金项目(11601497);; 山东省自然科学基金项目(ZR2021MA005)资助~~
作者(Author): 郑岩杰,付凯
DOI: 10.16441/j.cnki.hdxb.20220222
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