Comparison of two projection methods for modeling incompressible flows in MPM*

• 作 者: Shyamini Kularathna Kenichi Soga
• 机 构: Department of Engineering, Geotechnical and Environmental Research Group, University of Cambridge, C
• 出 处: 水动力学研究与进展B辑
• 发表日期: 2017年3期
• 关键词: Chorins projection method material point method (MPM) incompressible flow time s

Material point method (MPM) was originally introduced for large deformation problems in solid mechanics applications. Later, it has been successfully applied to solve a wide range of material behaviors. However, previous research has indicated that MPM exhibits numerical instabilities when resolving incompressible flow problems. We study Chorin’s projection method in MPM algorithm to simulate material incompressibility. Two projection-type schemes, non-incremental projection and incremental pro- jection, are investigated for their accuracy and stability within MPM. Numerical examples show that the non-incremental projection scheme provides stable results in single phase MPM framework. Further, it avoids artificial pressure oscillations and small time steps that are present in the explicit MPM approach.