 Abaqus Multiphysics — Coupled Eulerian-Lagrangian Simulation

## Coupled Eulerian-Lagrangian (CEL) Simulation — Abaqus

The Coupled Eulerian-Lagrangian (CEL) method is a widely used technique in numerical simulations, especially in the field of fluid-structure interactions. This method allows for the modeling of problems in which there is a strong interaction between a fluid and a solid, such as fluid-structure interaction problems and impact simulations. In this article, we will discuss the modeling of the Coupled Eulerian-Lagrangian simulation in Abaqus.

### What is the CEL Method?

The CEL method is a numerical technique that combines the Eulerian and Lagrangian methods of modeling. In the Eulerian method, the fluid is modeled as a continuum and the governing equations are solved in a fixed, Eulerian reference frame. In the Lagrangian method, the solid is modeled as a collection of discrete particles that move with the structure. The CEL method combines these two methods by modeling the fluid in an Eulerian reference frame and the solid in a Lagrangian reference frame.

In the CEL method, the solid mesh is embedded in the fluid mesh, and the fluid and solid domains are coupled through interface conditions. The fluid equations are solved on the Eulerian mesh, while the solid equations are solved on the Lagrangian mesh. The coupling between the two meshes is achieved through the transfer of information at the interface.

### Modeling of CEL in Abaqus

Abaqus provides a comprehensive set of tools for modeling CEL simulations. The CEL method can be used in Abaqus/Explicit for dynamic simulations and in Abaqus/Standard for quasi-static simulations.

In Abaqus/Explicit, the fluid domain is modeled using the Eulerian method, while the solid domain is modeled using the Lagrangian method. The two domains are coupled using the node-based contact algorithm. The contact algorithm transfers forces between the two domains at the interface, and allows for the transfer of fluid mass and momentum to the solid domain.

In Abaqus/Standard, the fluid domain is modeled using the Eulerian method, while the solid domain is modeled using the Lagrangian method. The two domains are coupled using the surface-based contact algorithm. The contact algorithm transfers forces between the two domains at the interface, and allows for the transfer of fluid mass and momentum to the solid domain.

The CEL method in Abaqus can be used to model a variety of fluid-structure interaction problems, including impact simulations, blast simulations, and fluid-induced vibration problems. The method can also be used to model problems in which there is fluid flow around a structure, such as flow-induced vibration problems.

### Conclusion

The Coupled Eulerian-Lagrangian method is a powerful numerical technique for modeling fluid-structure interactions. Abaqus provides a comprehensive set of tools for modeling CEL simulations in both Abaqus/Explicit and Abaqus/Standard. The CEL method can be used to model a variety of problems in which there is a strong interaction between a fluid and a solid, and can be used to accurately predict the behavior of these systems under various loading conditions.

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