Numerical approximations for differential operators commonly used in the Moving Particle Semi-implicit (MPS) method
Some of the formulations are:
- 1st order Gradient: 2011 - Enhancement of stability and accuracy of the moving particle semi-implicit method
- 2nd order Gradient: 2012 - A new particle method for simulation of incompressible free surface flow problems
- 1st order Divergence: 2018 - An accurate and stable multiphase moving particle semi-implicit method based on a corrective matrix for all particle interaction models
- 1st order Laplacian: 2018 - An accurate and stable multiphase moving particle semi-implicit method based on a corrective matrix for all particle interaction models
- 2nd order Laplacian: 2019 - The truncation and stabilization error in multiphase moving particle semi-implicit method based on corrective matrix: Which is dominant ?
- 2nd order Laplacian: 2012 - A new particle method for simulation of incompressible free surface flow problems
- 2nd order Laplacian: 2018 - A class of renormalised meshless Laplacians for boundary value problems - Obs: Results similar to the original 0th order MPS operators. Maybe some bug in present code.