Dear doctor

Numerical simulation related to casting needs several algorithms and modeling techniques as follows:

1) PISO :coupling flow field to pressure in case of unsteady problem

2) SOLA-VOF will be required to solve free surface(this is fixed grid method; there are some alternatives for solving free surface depending on accuracy and time consumption)

3) enthalpy method to solve phase change phenomena

4) numerical models for solving magnetic field coupled with flow field

Shakti:

You can try comparing with our POD results on LDC and flow past cylinder. If you need the computed solutions, then we will be more than happy to provide you with our solution. Let us know, if you can recover those polygonal vortical structures among the POD modes. Are you also able to classify your DMD modes, like Neelu, Vijay have classified the POD modes.

Section 4 of "Dynamic mode decomposition of turbulent cavity flows for self-sustained oscillations" by Seena and Sung. International Journal of Heat and Fluid Flow 32 (2011) 1098–1110. https://www.researchgate.net/profile/Hyung_Jin_Sung/publication/253436196_Dynamic_mode_decomposition_of_turbulent_cavity_flows_for_self-sustained_oscillation/links/54ab1f590cf2bce6aa1d840e.pdf

Article Dynamic mode decomposition of turbulent cavity flows for sel...

You can try http://dmdbook.com/ 

They have data as well as code for some scenarios. Fluids example really clears a lot of questions.

Dear doctor

Numerical simulation related to casting needs several algorithms and modeling techniques as follows:

1) PISO :coupling flow field to pressure in case of unsteady problem

2) SOLA-VOF will be required to solve free surface(this is fixed grid method; there are some alternatives for solving free surface depending on accuracy and time consumption)

3) enthalpy method to solve phase change phenomena

4) numerical models for solving magnetic field coupled with flow field