论文标题
通过散发速度插值和抛物线拟合顶点位置来减少前面跟踪的音量和形状错误
Reducing volume and shape errors in front tracking by divergence-preserving velocity interpolation and parabolic fit vertex positioning
论文作者
论文摘要
量保存和形状保存是两个众所周知的问题，与前线跟踪的对流和重新捕捉有关。为了解决这些问题，本文提出了一种保存差异速度插值方法和抛物线拟合顶点定位方法，用于用于三维前线跟踪的重新操作。在插值从流体网格到前面三角形的顶点的速度时，保留速度场的差异的错误是在前面前进时体积保护误差的主要原因。所提出的插值方法保留了通过构造的流体速度的离散差异，并在这项工作中与其他已知的无差和非差异测试用例中的其他已知插值方法进行了比较，该方法在量的节约和形状保护方面的前部。提出的插值方法比传统使用的插值方法保持了体积和形状的数量级，并且以较低的计算成本为范围内。此外，与常规的重新讨论算法相比，抛物线拟合的顶点定位方法在局部近乎局部近似局部近似前部，从而通过平滑的多项式表面近似，从而提高了体积保护和形状的保存。
Volume conservation and shape preservation are two well-known issues related to the advection and remeshing in front tracking. To address these issues, this paper proposes a divergence-preserving velocity interpolation method and a parabolic fit vertex positioning method for remeshing operations for three-dimensional front tracking. Errors in preserving the divergence of the velocity field when interpolating the velocity from the fluid mesh to the vertices of the triangles of the front are a primary reason for volume conservation errors when advecting the front. The proposed interpolation method preserves the discrete divergence of the fluid velocity by construction and is compared in this work with other known interpolation methods in divergence-free and non-divergence-free test cases, with respect to volume conservation and shape preservation of the front. The presented interpolation method conserves the volume and shape up to an order of magnitude better than the conventionally used interpolation methods and is within the range of higher order interpolation methods at lower computational cost. Additionally, the parabolic fit vertex positioning method for remeshing operations locally approximates the front with a smooth polynomial surface, improving volume conservation and shape preservation by an order of magnitude compared to conventional remeshing algorithms.
