【摘 要】
：
根据修正波数应在充分大的波数范围内接近准确波数的思想,构造了优化的3对角4阶跳点紧致差分格式及插值格式。优化跳点紧致格式仍然具有4阶精度,但提高了分辨率,能够在更大的
【基金项目】
：
国家自然科学基金;河南师范大学校级青年骨干教师培养资助计划项目;河南省教育厅自然科学研究计划项目
论文部分内容阅读
根据修正波数应在充分大的波数范围内接近准确波数的思想,构造了优化的3对角4阶跳点紧致差分格式及插值格式。优化跳点紧致格式仍然具有4阶精度,但提高了分辨率,能够在更大的波数范围内保持群速度特性。通过实验数据表明,优化跳点紧致差分格式的分辨率可达到0.86π,优化紧致插值格式可达0.63π,可较好保持群速度的最大波数为0.75π,均大于标准4阶和6阶跳点紧致格式。分别用优化格式,标准4阶和6阶跳点紧致格式计算小尺度波动的性能,结果表明优化格式在模拟小尺度波动,在减小计算误差并保持群速度方面具有明显优势。
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