Mitigation of Pressure Oscillations and Numerical Diffusion in Implicit MPM Based on U-P Formulation

Key Points

• The central aim is to address pressure oscillations and numerical diffusion in implicit MPM using u-p formulation.
• Introduced stabilization methods PPP and FPL for pressure oscillation mitigation.
• Compared the effectiveness of PPP and FPL methods in implicit MPM.
• Explored numerical diffusion specific to implicit stabilization MPM.
• Conducted validation case studies evaluating these methods in large deformation scenarios.
• FPL method demonstrated superiority over PPP in stabilizing pressure oscillations.
• Proposed calculation schemes effectively minimized numerical diffusion in implicit MPM.
• Findings showed improved performance in structural penetration analyses under large deformation.