Differential algebraic hydrodynamics solver with cubic-polynomial interpolation - two dimensional formulation -
Differential algebraic hydrodynamics solver with cubic-polynomial interpolation - two dimensional formulation -
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具有三次多项式插值的微分代数流体动力学求解器 - 二维公式 -
DOI：
10.1007/978-3-642-79654-8_169
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
T. Utsumi
中科院分区：
文献类型：
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作者：
T. Utsumi
提出了一种新的二维水动力数值模拟方法。该格式假定网格内的物理量由三次空间剖面近似，并使用常微分方程组的显式数值积分方法(例如，自适应步长控制Runge-Kutta方法或Bulirsch-Stoer方法)，而不使用有限差分或有限体积方法。出现在流体动力学方程右侧的空间导数是由近似空间轮廓的三次轮廓计算的。
A new numerical method is proposed for two dimensional hydrodynamics simulation. The scheme assumes that physical quantities within grids are approximated by cubic spatial profiles, and uses the explicit numerical integration method for ordinary differential equations (for example, adaptive stepsize controlled Runge-Kutta method, or Bulirsch-Stoer method) with no finite-difference or finite volume method. Spatial derivatives appearing in the right-hand side of hydrodynamics equations are calculated from cubic profiles approximating spatial profile.