Presentations and videos to 10th International Conference on Adaptative Modeling and Simulation (ADMOS)

Implicit shock tracking for unsteady flows by the method of lines

Abstract

We present an extension of the recently developed high-order implicit shock tracking (HOIST) framework for resolving discontinuous solutions of inviscid, steady conservation laws. Using the method of lines, our schemes can handle unsteady flows with moving shocks, using time-accurate [...]
Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería

Numerical solution of diffusion equation using a method of lines and generalized finite differences

Abstract

One of the greatest challenges in the area of applied mathematics continues to be the design of numerical methods capable of approximating the solution of partial differential equations quickly and accurately. One of the most important equations, due to the hydraulic and [...]