Mixed Finite Element Methods for an Incompressible Fourth-Order Active Fluid Model

Key Points

• The analysis uncovers improved stability in numerical simulations for modeling incompressible fourth-order active fluids.
• Numerical methods significantly enhance the accuracy of simulations based on existing fluid dynamics theories and practices.
• Implementation utilizes mixed finite element methods to address challenges in simulating incompressible fluid behavior.
• These findings may enable more effective modeling techniques in complex fluid dynamics applications, thereby advancing the field.