Riemann solver in SPH

Riemann solver in SPH
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SPH 中的黎曼求解器

DOI:
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发表时间:
2003
期刊:
影响因子:
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通讯作者:
C. Bilello
C. Bilello
中科院分区:
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文献类型:
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作者:
D. Molteni;C. Bilello

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本文提出了两种无网格法求解流体动力学问题中激波的方法。所提出的方法是基于使用的黎曼问题的解析解,属于类的Goudunov方法。使用这种方法的优点在于不需要人工粘度。此外,通过对经典的一维Sod'问题和二维黑洞激波问题的数值试验,我们观察到解的精度有了很大提高。
Two approaches are presented for the solution of shocks in fluid dynamic problems discretized through meshless methods. The proposed methods are based on the use of the analytical solution for the Riemann problem and belong to the class of Goudunov methods. The advantage of using such methods lies in the fact that no artificial viscosity is required. Moreover, from numerical tests on a classical 1D Sod’problem and a on 2D shock around a Black Hole, it has been observed that the accuracy of the solution is greatly improved.