Chia-Cheng Tsai, Jen-Yi Chang, Hung-Chu Hsu, Yang-Yih Chen, Using Symbolic Computing to Obtain Lagrange-Euler Solutions for Nonlinear Progressive Waves on a Uniform Current, Journal of Coastal ...

In Klingenberg, Schnücke, and Xia (Math. Comp. 86 (2017), 1203–1232) an arbitrary Lagrangian-Eulerian discontinuous Galerkin (ALE-DG) method to solve conservation laws has been developed and analyzed.

Lagrangian region has another scaling, and then it looked like it was going into this region where there was Eulerian scaling.” Each scaling regime contains the math that best describes the forces and ...

The Arbitrary Lagrangian-Eulerian (ALE) method is used in a variety of engineering and scientific applications for enabling multi-physics simulations. Unfortunately, the ALE method can suffer from ...