It seems that all these methods could model fluid, solid and gas naturally. I am wondering which one should I learn for the application in geotechnical engineering (from aspects of learning curve, prospect, mechanism). Any suggestions will be greatly appreciated.
Hello, Dr. Wang, I think the (G)PFEM seems to be more powerful than the other two methods, for numerically modelling large deformation probelms in geotechnical enginnering.
SPH is suitable for modeling fluid flow in large-deformation problems. The drawbacks of the method are:
- Requires special boundary treatment approaches, such as use of ghost nodes.
- Exhibits spatial instabilities, as a consequence of the pointwise integration.
- Insufficient neighbouring particles cause inconsistencies.
- Computationally expensive as a result of the search for the neighbouring particles.
- Suffers from tensile instability, which causes numerical fracture.
PFEM is suitable for large-deformation problems with fluid–solid coupling, including modelling free-surface evolution. The drawbacks of the method are:
- Contact between solid–solid nodes and solid–fluid nodes require special treatment.
- Large deformation requires frequent re-meshing.
MPM is suitable for simulating large-deformation problems without mesh distortion issues, including fluid–solid interactions in large-deformation problems. The drawbacks of the method are:
- Use of linear shape functions in large-deformation problems causes numerical errors due to material points crossing grids called the cell crossing noise.
- Higher dimensional shape functions require greater computational time.
Reference: Article Trends in large-deformation analysis of landslide mass movem...
Available MPM codes for geotechnical analysis:
https://www.researchgate.net/post/Which-softwares-are-available-for-Material-Point-Method
Available code for leaning MPM:
Code MPM-Py: A program for learning the Material Point Method using Python
I totally agree with Fabricio Fernández . I wish to add that SPH is more flexible due to its meshless approach and execution. All three have their strengths and weaknesses
- Badges
- Science topic
- Similar topics
- Engineering
- Modeling