CESE

The *CESE keyword cards provide input for the legacy Conservation Element/Solution Element (CESE) solver. Users that have access to recent LS-DYNA versions are encouraged to transition to the *DUALCESE solver that offers more accuracy and stability over the classic *CESE approach. Features of the *CESE solver are progressively incorporated and expended upon in *DUALCESE.

Sod shock tube example

This is a classic 1-D model, introduced by G.A. Sod [2] and its purpose is to verify the ability of the CESE solver to solve fluid dynamics problems with shock wave behavior. [2] G. Sod, A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws, J. Comput. Phys., (1978).

Moving shock wave diffraction

This LS-DYNA simulation shows a simple 2D CESE input deck with a diffraction moving normal shock wave around a 90 degree corner. The Mach number is 1.2 and the moving normal shock wave relations are used in order to determine the inlet parameters.

Piston example

An initially loaded spring is released at t=0. A compression wave is formed in the fluid that bounces back and interacts with the structure thus creating an oscillatory system. In this example, the moving mesh technique is used for FSI rather than the classic embedded approach.

Oblique shock wave impact

This test case consists of an oblique shock wave impacting a solid wall. The flow is considered viscous meaning that a boundary layer will be generated on the solid wall which will result in complex interactions occurring between the oblique shock wave and the boundary layer.

Transonic flow around NACA0012

The NACA airfoils are airfoil shapes for aircraft wings developed by the National Advisory Committee for Aeronautics (NACA, former NASA) in the 1940s. The four digit series define the profile by describing its maximum camber, the location of the maximum camber and the airfoil’s maximum thickness. The NACA 0012 is a symmetrical airfoil frequently used for benchmarking test cases.

Axisymmetric cannon

At t=0, an air chamber with high temperature and high pressure gaz is released propelling a projectile at high velocity. This case uses the axisymmetric CESE solver is order to reduce the calculation times.

Blast wave

It is possible to combine the keyword LOAD_BLAST_ENHANCED with the CESE solver in order to achieve an accurate tracking of the pressure loads and pressure wave propagation due to the detonation of a conventional explosive.

Embedded FSI example

This examples features a simple immersed FSI example. The active structure needs to be entirely embedded in the fluid for the immersed method. Interfaces are tracked automatically. It is advised to use a finer mesh for the fluid than for the solid. For FSI problems, the two solvers will use a synchronized timestep i.e the smallest value computed from their respective domains (CFL condition). No leakage can occur.

Erosion example

This examples features a simple CESE input deck coupled with a structural problem. An incoming pressure wave hits a thin plate. Under the load, the elements get progressively eroded allowing the fluid to flow through.