Flux-conservative Hermite methods for simulation of nonlinear conservation laws
arXiv:1703.0684810 citationsh-index: 17
Originality Incremental advance
AI Analysis
For computational scientists solving conservation laws, this provides a more stable high-order method, though it is an incremental improvement over existing Hermite methods.
The paper introduces a new class of Hermite methods for nonlinear conservation laws that maintain high-order accuracy for smooth solutions while improving stability, using entropy viscosity for shock capturing.
A new class of Hermite methods for solving nonlinear conservation laws is presented. While preserving the high order spatial accuracy for smooth solutions in the existing Hermite methods, the new methods come with better stability properties. Artificial viscosity in the form of the entropy viscosity method is added to capture shocks.