A one-parameter family of interpolating kernels for smoothed particle hydrodynamics studies
A one-parameter family of interpolating kernels for smoothed particle hydrodynamics studies
复制标题
DOI：
10.1016/j.jcp.2008.06.014
复制
发表时间：
2008-09
期刊：
影响因子：
--
通讯作者：
R. Cabezón;D. García-Senz;A. Relaño
中科院分区：
文献类型：
--
作者：
R. Cabezón;D. García-Senz;A. Relaño
在光滑粒子流体力学（SPH）技术的背景下，分析了一类f(v)={sinπ2v/π2v}的插值函数。这些核在若干参数n值下的行为已经通过在二维中进行的若干试验进行了分析和数值研究。这个核函数的主要优点在于它的灵活性，因为当n=3时，它与广泛使用的标准三次样条相似，而当n=3时，内插函数变得更加集中，非常适合跟踪不连续点，如激波锋面和热波。
A set of interpolating functions of the type f(v)={sinπ2v/π2v}nis analyzed in the context of the smoothed-particle hydrodynamics (SPH) technique. The behaviour of these kernels for several values of the parameter n has been studied either analytically as well as numerically in connection with several tests carried out in two-dimensions. The main advantage of this kernel relies in its flexibility because for n=3 it is similar to the standard widely used cubic-spline, whereas for n>3 the interpolating function becomes more centrally condensed, being well suited to track discontinuities such as shock fronts and thermal waves.