Some Recent Advances in Energetic Variational Approaches

Area of Science:

• Multiphysics modeling
• Thermodynamics
• Computational fluid dynamics

Background:

• Complex fluids present modeling challenges due to their intricate behavior.
• Existing models may lack thermodynamic consistency.
• The energetic variational approach offers a unified framework.

Purpose of the Study:

• To summarize recent advancements in the energetic variational approach (EnVarA).
• To demonstrate EnVarA's utility in modeling complex fluid systems.
• To focus on chemo-mechanical couplings and non-isothermal effects.

Main Methods:

• Review of recent research and applications of EnVarA.
• Illustrative examples of EnVarA in action.
• Focus on variational principles and thermodynamic consistency.

Main Results:

• EnVarA provides a robust framework for thermodynamically consistent models.
• Successful application of EnVarA to systems with chemo-mechanical couplings.
• Effective modeling of non-isothermal effects in complex fluids.

Conclusions:

• EnVarA is a powerful and versatile tool for complex fluid modeling.
• The approach ensures physical realism and thermodynamic rigor.
• Further research can expand EnVarA's applicability to more complex phenomena.