Kim Jong-Hyun, Lee Jung
Department of Software Application, Kangnam University, Gyeonggi-do, Republic of Korea.
Department of Convergence Software, Hallym University, Gangwon-do, Republic of Korea.
PLoS One. 2017 Apr 27;12(4):e0175695. doi: 10.1371/journal.pone.0175695. eCollection 2017.
When simulating fluids, such as water or fire, interacting with solids, it is a challenging problem to represent details of diffusion front in physical reaction. Previous approaches commonly use isotropic or anisotropic diffusion to model the transport of a quantity through a medium or long interface. We have identified unrealistic monotonous patterns with previous approaches and therefore, propose to extend these approaches by integrating the deformation of the material with the diffusion process. Specifically, stretching deformation represented by strain is incorporated in a divergence-constrained diffusion model. A novel diffusion model is introduced to increase the global rate at which the solid acquires relevant quantities, such as heat or saturation. This ensures that the equations describing fluid flow are linked to the change of solid geometry, and also satisfy the divergence-free condition. Experiments show that our method produces convincing results.
在模拟诸如水或火等流体与固体相互作用时，要在物理反应中呈现扩散前沿的细节是一个具有挑战性的问题。先前的方法通常使用各向同性或各向异性扩散来模拟某种量在介质或长界面中的传输。我们已经发现先前的方法存在不切实际的单调模式，因此，建议通过将材料的变形与扩散过程相结合来扩展这些方法。具体而言，由应变表示的拉伸变形被纳入到一个散度约束扩散模型中。引入了一种新颖的扩散模型，以提高固体获取相关量（如热量或饱和度）的全局速率。这确保了描述流体流动的方程与固体几何形状的变化相关联，并且还满足无散度条件。实验表明，我们的方法产生了令人信服的结果。
