| 求解Burgers方程的特征中心型有限体积法 |
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| 引用本文： | 罗力,封建湖.求解Burgers方程的特征中心型有限体积法[J].航空计算技术,2010,40(3). |
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| 作者姓名： | 罗力 封建湖 |
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| 作者单位： | 长安大学理学院,陕西,西安,710064 |
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| 基金项目： | 陕西省自然科学基金资助 |
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| 摘 要： | 以Burgers方程为试验模型,提出一种新的有限体积法,空间上的离散采用中心型加权基本无振荡重构,时间上的离散采用数值积分。其中积分节点上的数值通量由特征理论回溯求解,保持了物理量沿特征方向传输的特性,计算量相对Runge-Kutta法明显减少。数值结果表明了方法的有效性和稳定性。
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| 关 键 词： | Burgers方程 有限体积法 特征理论 高分辨率 |
Characteristic-based Central FVM for Burgers Equation |
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| LUO Li,FENG Jian-hu.Characteristic-based Central FVM for Burgers Equation[J].Aeronautical Computer Technique,2010,40(3). |
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| Authors: | LUO Li FENG Jian-hu |
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| Institution: | LUO Li; FENG Jian-hu ( College of Science; Chang′an University; Xi′an 710064; China); |
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| Abstract: | A new finite volume method for Burgers equation as tested model is proposed. The Central Weighted Essentially NonOscillatory finite volume reconstruction techniques and numerical quadratures are used to approximate spa tial derivatives and time derivative respectively. The numerical fluxes at quadrature nodes are evaluated by the characteristic theory which maintains the transportation of physical variables and remarkably reduces calculation in contrast to Runge-Kutta method. Numerical experiments illustrat... |
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| Keywords: | burgers equation finite volume method the characteristic theory high resolution |
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