Level set driven flows
Level set driven flows
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DOI：
10.1145/1289603.1289606
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发表时间：
2007-10
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影响因子：
--
通讯作者：
Rüyam Acar
中科院分区：
文献类型：
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作者：
Rüyam Acar
在二维不可压缩流中，表示非常粘性流的动力学的Stokes方程和流体动力学方程的涡量公式都简化为椭圆方程的标量流函数表示。利用这种简化和椭圆型方程的傅立叶空间表示的性质，我们用一个共同的谱方法来求解这两个方程。基于这个方程组，我们提出了一个基于水平集的输入描述，它为用户提供了一个灵活的环境，以模拟各种各样的流动和艺术效果的2D。这种输入类型允许使用非常实用的方法和混沌动态流（甚至粘性Stokes方程）对涡面模式和其他复杂流进行建模。一个用户界面的水平集输入，允许用户绘制的笔划或编辑水平集数据，通过应用变换函数或扰动。总之，该模型可用于模拟非常粘性的流动、涡量动力学、涡面图案、湍流和混沌流动以及其他艺术效果，如传统的大理石花纹图案，具有高分辨率的简单、快速和稳定的系统。
In 2D, incompressible flows, the Stokes equations that represent the dynamics of very viscous flows and vorticity formulation of hydrodynamic equations both reduce to a scalar stream-function representation in terms of elliptic equations. By making use of this simplification and the properties of Fourier space representation of elliptic equations, we use a common spectral method to solve both of these equations. Based on this system of equations, we propose a level set based input description which provides a flexible environment for the user to model a wide range of flows and artistic effects in 2D. This input type allows the modeling of vortex sheet patterns and other complex flows with a very practical approach and chaotic, dynamic flows, even with viscous Stokes equations. A user interface is developed for the level set input which allows the user to draw the strokes or edit the level set data by applying transformation functions or perturbations. To sum up, this model can be used for the simulation of very viscous flows, vorticity dynamics, vortex sheet patterns, turbulent and chaotic flows as well as other artistic effects such as the traditional marbling patterns, with a simple, fast and stable system at high resolutions.