Robust and accurate approximation of hyperbolic systems

Abstract

The project consists of developing robust numerical methods for solving hyperbolic systems of conservation laws such as the compressible Euler equations and radiative hydrodynamics. Most current high-order numerical methods are unattractive to practitioners because they are not robust. This research program consists of developing numerical methods with guaranteed properties of positivity, convergence, and at least third-order accuracy on arbitrary meshes, and without problem-dependent parameter tuning.

Document Details

Document Type
DoD Grant Award
Publication Date
Aug 28, 2018
Source ID
FA95501810397

Entities

People

  • Jean-luc Guermond

Organizations

  • Air Force Office of Scientific Research
  • Texas A&M University
  • United States Air Force

Tags

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)