Lagrangian-Eulerian method for two-dimensional hyperbolic conservation laws. Jorge Eliécer Agudelo Quiceno, PhD student in Mathematical Engineering, Research Group in Mathematics and Applications, Universidad EAFIT. Universidad EAFIT.
Escuela de Ciencias Universidad EAFIT. Abril 12 de 2019.
Seminario de Doctorado en Ingeniería Matemática Universidad EAFIT
Seminar of the PhD in Mathematical Engineering EAFIT University.
Abstract: We propose a new two-dimensional scheme to solve 2D hyperbolic laws in square meshes and show that it is capable of capturing correct qualitative solutions for linear and nonlinear problems without the use of sophisticated tools, which makes it easy to implement, and without excessively increasing the computational cost.