| 基于平均逆映射的二阶通量分裂差分格式 |
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| 引用本文： | 刘珺,郑华盛.基于平均逆映射的二阶通量分裂差分格式[J].赣南师范学院学报,2012,33(3):8-11. |
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| 作者姓名： | 刘珺 郑华盛 |
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| 作者单位： | 南昌航空大学数学与信息科学学院,南昌,330063 |
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| 基金项目： | 江西省自然科学基金项目 |
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| 摘 要： | 基于通量分裂方法及逆风特性,通过引入平均逆映射概念,选取数值通量导数,结合二阶Runge-KuttaTVD时间离散方法,构造了求解双曲型守恒律方程的一个二阶无振荡中心差分格式.最后,给出几个标准数值算例,验证了格式具有形式简单,计算量小及高分辨率等优点.
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| 关 键 词： | 双曲型守恒律 通量分裂 平均逆映射 Runge-KuttaTVD时间离散 差分格式 |
Second Order Accurate Difference Scheme of Flux Splitting Based on Averaged Inverse Mapping |
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| LIU Jun,ZHENG Huasheng.Second Order Accurate Difference Scheme of Flux Splitting Based on Averaged Inverse Mapping[J].Journal of Gannan Teachers' College(Social Science(2)),2012,33(3):8-11. |
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| Authors: | LIU Jun ZHENG Huasheng |
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| Institution: | (College of Mathematics and Information Science,Nanchang Hangkong University,Nanchang 330063,China) |
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| Abstract: | Based on the flux splitting and upwind properties,numerical derivative of flux is taken by introducing averaged inverse mapping.A new second order accurate non-oscillatory central difference scheme for the one dimensional equations of hyperbolic conservation laws is obtained by using second order Runge-Kutta TVD time discretization.Finally,several typical numerical examples are given to verify the advantages of simplify form,lower cost,high-resolution and non-oscillatory of this scheme. |
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| Keywords: | hyperbolic conservation laws flux splitting averaged inverse mapping Runge-Kutta TVD time discretization difference scheme |
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