Compressible Fluids & Shock Waves
The conservation element/solution element (CESE) solver is a compressible fluid flow solver with a novel numerical framework for conservation laws. It has many non-traditional features, including a unified treatment of space and time, the introduction of conservation elements (CE) and solution elements (SE), and a novel shock capturing strategy without using a Riemann solver.
To date, this method has been used to solve many different types of flow problems, such as detonation waves, shock/acoustic wave interaction, cavitating flows and chemical reaction flows. LS-DYNA has been extended to solve fluid-structure interaction problems with the embedded (or immersed) boundary approach or moving (or fitting) mesh approach.