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首页> 外文会议>International Conference of Numerical Analysis and Applied Mathematics >WENO Wavelet Method for a Hyperbolic Model of Two-Phase Flow in Conservative Form
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WENO Wavelet Method for a Hyperbolic Model of Two-Phase Flow in Conservative Form

机译：保守形式两相流双曲模型的Weno小波法

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摘要

The current work presents a WENO wavelet adaptive method for solving multiphase flow problems. The grid adaptivity in each time step is obtained by the application of a thresholded interpolating wavelet transform, which allows the construction of a small yet effective sparse point representation of the solution. The spatial operator is solved by the Lax-Friedrich flux splitting approach in which the flux derivatives are approximated by the WENO scheme. Hyperbolic models of two-phase flow in conservative form are efficiently solved since shocks and rarefaction waves are precisely captured by the chosen methodology. Substantial computational gains are obtained through the grid reduction feature while maintaining the quality of the solutions.
机译：目前的工作提出了一种用于求解多相流动问题的Weno小波自适应方法。通过应用阈值的内插小波变换来获得每个时间步骤的电网适应性，这允许构造解决方案的小又有效稀疏点表示。空间操作员通过LAX-Friedrich通量分裂方法解决，其中通量衍生物被Weno方案近似。保守形式以保守形式的两相流的双曲线模型是有效的，因为休克和稀疏波精确地被所选方法捕获。通过电网减少功能获得了大量的计算增益，同时保持解决方案的质量。

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