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国家自然科学基金(11172050)

作品数:5 被引量:18H指数:2
相关作者:林忠刘全王瑞利程军波更多>>
相关机构:北京应用物理与计算数学研究所更多>>
发文基金:国家自然科学基金国家重点基础研究发展计划中国工程物理研究院科技发展基金更多>>
相关领域:理学化学工程更多>>

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5 条 记 录,以下是 1-5
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Lagrangian cell-centered conservative scheme被引量:1
2012年
This paper presents a Lagrangian cell-centered conservative gas dynamics scheme. The piecewise constant pressures of cells arising from the current time sub-cell densities and the current time isentropic speed of sound are introduced. Multipling the initial cell density by the initial sub-cell volumes obtains the sub-cell Lagrangian masses, and dividing the masses by the current time sub-cell volumes gets the current time sub- cell densities. By the current time piecewise constant pressures of cells, a scheme that conserves the momentum and total energy is constructed. The vertex velocities and the numerical fluxes through the cell interfaces are computed in a consistent manner due to an original solver located at the nodes. The numerical tests are presented, which are representative for compressible flows and demonstrate the robustness and accuracy of the Lagrangian cell-centered conservative scheme.
葛全文
Lagrange中心型守恒格式被引量:3
2012年
提出了Lagrange中心型守恒气体动力学格式.引入了当前时刻子网格密度与当前时刻网格声速产生的网格分片常数压力.初始网格密度乘以初始子网格体积得到子网格质量,这些子网格质量除以当前时刻子网格体积得到当前时刻子网格密度.应用网格分片常数压力,构造了满足动量守恒、总能量守恒的Lagrange中心型守恒气体动力学格式,格点速度以与网格面的数值通量相容的方式计算.对Saltzman活塞问题等进行了数值模拟,数值结果显示Lagrange中心型守恒气体动力学格式的有效性和精确性.
葛全文
A NON-OSCILLATORY KINETIC SCHEME FOR MULTI-COMPONENT FLOWS WITH THE EQUATION OF STATE FOR A STIFFENED GAS被引量:2
2011年
We extend the traditional kinetic scheme for ideal gases to the Euler equations with the equation of state for a multi-component stiffened gas. Based on a careful analysis of the oscillation mechanism of the traditional kinetic scheme across contact discontinuities, we propose a new non-oscillatory kinetic (NOK) scheme for multi-component stiffened gases. The basic idea in the construction is to use a flux splitting technique to construct numerical fluxes which do not depend on the concrete form of the equilibrium state. The new scheme can not only can avoid spurious oscillations of the pressure and velocity near a material interface which are observed in the traditional kinetic schemes such as the kinetic flux vector splitting (KFVS) and BGK schemes, but also can deal with the stiffened gas equation of state. Moreover, we also carry out a careful analysis on the consistency condition, truncation error and positivity of the NOK scheme. A number of 1D and 2D numerical tests are presented which demonstrate the accuracy and robustness of the new scheme in the simulation of problems with smooth, weak and strong shock wave regions.
Yibing Chen Song Jiang
关键词:NON-OSCILLATIONMULTI-COMPONENT
非嵌入式多项式混沌方法在拉氏计算中的应用被引量:12
2013年
论文介绍了多项式混沌方法的数学理论基础,包括正交多项式以及混沌多项式展开.给出了非嵌入混沌多项式进行不确定度量化分析的主要过程.同时结合经典拉氏计算格式,给出了二次人为粘性在Sod问题中的不确定度量化,计算结果表明非嵌入混沌方法可为现有遗产程序进行不确定度量化分析.
刘全王瑞利林忠
关键词:正交多项式混沌
一维守恒的Lagrangian ADER格式
2013年
基于欧拉框架下ADER格式,构造一维守恒只有一个时间步的、高精度中心型拉格朗日ADER(LADER)格式.构造r阶LADER格式包括:从欧拉方程出发推导拉格朗日框架下积分形式的方程、采用WENO方法高精度重构节点处守恒量和从1阶到r-1阶的空间导数、求拉氏框架下这些变量的Godunov值,并计算1阶到r-1阶的时间全导数,最后高精度离散积分形式的流通量函数.对光滑流场的模拟表明,LADER格式达到设计的精度;对含强间断的流场模拟表明,数值解在间断附近基本无振荡.
程军波Eleuterio F.Toro
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