Challenge

Assignment 3

Objective:

The Objective of the assignment is to run the given simulation with default shell formulation and compare the result with simulation of recommended shell formulation.

Input:

Shell Default Recommended
Ishell 0 24
Ismstr 0 2
Ish3n 0 2
N 5 5
Ithick 1 1
Iplas 1 1
  • Simulation runtime is changed to 55ms and animation step is changed to have 0.91ms to have 60steps

Error comparision.

Simulation 1 with default value:

As we can see in above pic the Energy error is -11.2%, which above than recommended value of -5%.

Simulation 2 with Recommended value:

As we can see in above pic the Energy error is -0.1%, which is wihin recommended value of -5%.

The mass error seems to not change during change in shell formulation.

Simulation 1 Plot (Default shell formulation):

  • Internal Energy, Kinetic Energy, Hourglass energy, Total Energy.

  • Rigid wall Energy

Simulation 2 Plot:

  • Internal Energy, Kinetic Energy, Hourglass energy, Total Energy.

  • Rigid wall Energy

Conclusion:

From the comparision of graph between simulation 1 and 2 following conclusions can be made.

  • Hourglass energy with recommended shell formulation is zero.
  • There is no decrease in total energy with recommended shell formulation.
  • The variation of Kinetic energy and Internal energy is more accurate (non linear) with recommended shell formulation.
  • Normal energy result is different with recommended shell formulation than default value.
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