计算物理 ›› 2000, Vol. 17 ›› Issue (4): 421-425.
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王建立, 任玉新, 沈孟育
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作者简介:
WANG Jian-li, REN Yu-xin, SHEN Meng-yu
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摘要: 研究了任意曲线坐标系中求解双曲型守恒律的高精度、无波动样条逼近有限体积方法,比较了三种不同的通量分裂技术在这种方法中的应用。数值实验表明,在不同的通量分裂技术下,该方法对流场中的激波和接触间断都有很高的分辨率。
关键词: 数值方法, 样条插值, 双曲型守恒律, Euler方程, 激波捕捉技术
Abstract: High order accurate, non-oscillating finite volume schemes using spline interpolation for solving conservation laws in arbitrary curvilinear coordinate are analyzed and three different flux splitting schemes are compared. Numerical experiment indicates that these schemes are of high resolution to shock and contact discontinuities.
Key words: numerical method, spline interpolation, hyperbolic conservation laws, Euler equation, shock-capturing
中图分类号:
O35
王建立, 任玉新, 沈孟育. 基于样条逼近有限体积法的通量分裂算法[J]. 计算物理, 2000, 17(4): 421-425.
WANG Jian-li, REN Yu-xin, SHEN Meng-yu. THE ANALYSIS OF SEVERAL FLUX SPLITTING SCHEME BASED ON SPLINE INTERPOLATION FINITE VOLUME SCHEME[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(4): 421-425.
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