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首页> 外文期刊>IEEE transactions on visualization and computer graphics >Continuous-Scale Kinetic Fluid Simulation
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Continuous-Scale Kinetic Fluid Simulation

机译：连续规模的动力学流体模拟

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摘要

Kinetic approaches, i.e., methods based on the lattice Boltzmann equations, have long been recognized as an appealing alternative for solving incompressible Navier-Stokes equations in computational fluid dynamics. However, such approaches have not been widely adopted in graphics mainly due to the underlying inaccuracy, instability and inflexibility. In this paper, we try to tackle these problems in order to make kinetic approaches practical for graphical applications. To achieve more accurate and stable simulations, we propose to employ the non-orthogonal central-moment-relaxation model, where we develop a novel adaptive relaxation method to retain both stability and accuracy in turbulent flows. To achieve flexibility, we propose a novel continuous-scale formulation that enables samples at arbitrary resolutions to easily communicate with each other in a more continuous sense and with loose geometrical constraints, which allows efficient and adaptive sample construction to better match the physical scale. Such a capability directly leads to an automatic sample construction which generates static and dynamic scales at initialization and during simulation, respectively. This effectively makes our method suitable for simulating turbulent flows with arbitrary geometrical boundaries. Our simulation results with applications to smoke animations show the benefits of our method, with comparisons for justification and verification.
机译：长期以来，动力学方法，即基于格子玻尔兹曼方程的方法，一直被认为是解决计算流体动力学中不可压缩的Navier-Stokes方程的一种有吸引力的选择。但是，由于潜在的不准确性，不稳定性和不灵活性，此类方法尚未在图形中广泛采用。在本文中，我们试图解决这些问题，以使动力学方法在图形应用中切实可行。为了实现更准确和稳定的仿真，我们建议采用非正交中心矩松弛模型，在该模型中，我们开发了一种新的自适应松弛方法，以在湍流中保持稳定性和准确性。为了实现灵活性，我们提出了一种新颖的连续规模公式，该公式使任意分辨率下的样本可以在更连续的意义上轻松地相互交流，并具有宽松的几何约束，从而可以高效且自适应地构造样本以更好地匹配物理规模。这种能力直接导致了自动样本构建，该样本构建分别在初始化和仿真期间生成静态和动态标度。这有效地使我们的方法适合于模拟具有任意几何边界的湍流。我们的模拟结果以及用于烟雾动画的应用程序显示了我们方法的优势，并进行了比较以进行论证和验证。

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