Energy Conservation Error

INFO

Assesses how well a model conserves energy in simulations, ensuring physical consistency.

How It Works

$$\text{Energy Error}=|E_{\text{pred}}-E_{\text{true}}|$$

• $E_{\text{pred}}$: Predicted total energy
• $E_{\text{true}}$: True or expected conserved energy

This metric checks whether the model violates conservation laws over time or space.

What to Look For

• Should be near zero for physically consistent models
• Critical in Fluid Dynamics, Thermodynamics, and Mechanical Systems
• Often tracked across simulation steps

Application Models

• pinns
• simulation-driven-models