In this paper, we present a simple artificial damping method to enhance the robustness of total Lagrangian smoothed particle hydrodynamics (TL-SPH). Specifically, an artificial damping stress based on the Kelvin-Voigt type damper with a scaling factor imitating a von Neumann-Richtmyer type artificial viscosity is introduced in the constitutive equation to alleviate the spurious oscillation in the vicinity of the sharp spatial gradients. After validating the robustness and accuracy of the present method with a set of benchmark tests with very challenging cases, we demonstrate its potentials in the field of bio-mechanics by simulating the deformation of complex stent structures.
翻译:在本文中,我们介绍了一种简单的人工拉格朗加平滑的粒子流体动力学(TL-SPH)的稳健性。 具体地说,一种基于克尔文-维格特型阻力器的人工阻力,其缩放因子仿照冯纽曼-里西歇尔型人工粘度,在构件方程式中引入了一个缩放因子,以缓解在尖锐空间梯度附近发生的虚假振动。 在用一套具有非常挑战性案例的基准测试来验证当前方法的稳健性和准确性之后,我们通过模拟复杂的电动结构的变形来展示其在生物机械学领域的潜力。