Development of CFL-Free, Explicit Schemes for Multidimensional Advection-Reaction Equations

  • Authors:
  • Hong Wang;Jiangguo Liu

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Scientific Computing
  • Year:
  • 2001

Quantified Score

Hi-index 0.01

Visualization

Abstract

We combine an Eulerian--Lagrangian approach and multiresolution analysis to develop unconditionally stable, explicit, multilevel methods for multidimensional linear hyperbolic equations. The derived schemes generate accurate numerical solutions even if large time steps are used. Furthermore, these schemes have the capability of carrying out adaptive compression without introducing mass balance error. Computational results are presented to show the strong potential of the numerical methods developed.