论文标题
用于接口捕获的准确晶格玻尔兹曼方法
An accurate lattice Boltzmann method for interface capturing
论文作者
论文摘要
准确求解相位界面在建模不混溶的多相流系统中起着重要作用。在这封信中，我们从修改后的Allen-Cahn方程（ACE）的角度提出了一种准确的接口捕获晶格Boltzmann方法。修改后的ACE是基于常用的保守公式来构建的，通过签名距离函数与顺序参数之间的关系也维护了质量保存的特征。小心地将合适的强制项纳入晶格玻尔兹曼方程中，以正确恢复目标方程。然后，我们通过模拟单个涡流的典型接口跟踪问题来测试提出的方法，并证明本模型比保守ACE的现有晶状体玻尔兹曼模型在数值上可以更准确，尤其是在小界面尺度上。
Accurately solving phase interface plays a great role in modeling immiscible multiphase flow system. In this letter, we propose an accurate interface-capturing lattice Boltzmann method from the perspective of the modified Allen-Cahn equation (ACE). The modified ACE is built based on the commonly used conservative formulation via the relation between the signed-distance function and the order parameter also maintaining the mass-conserved characteristic. A suitable forcing term is carefully incorporated into the lattice Boltzmann equation for correctly recovering the target equation. We then test the proposed method by simulating a typical interface-tracking problem of single vortex and demonstrate that the present model can be more numerically accurate than the existing lattice Boltzmann models for the conservative ACE, especially at a small interface-thickness scale.
