Defect Correction and Nonlinear Multigrid for Steady Euler Equations
Abstract
In this chapter we give a description of a multigrid method developed for the steady Euler and Navier-Stokes equations. The discretization method is based on cell-centered finite volumes. The solution method, that does not use time stepping, is based on nonlinear multigrid iteration (FAS). The method gets many of its good properties by the use of a sequence of first-order discretizations, based on a variant of Osher&s;s approximate Riemann solver. Higher-order accuracy is obtained by defect correction iteration.
Fields of Study & Subjects
Computational Fluid Dynamics and Aerodynamics
Lattice Boltzmann Simulation Studies
Fluid Dynamics and Turbulent Flows
Publication details
- Journal / source
- Computational Fluid Dynamics Techniques
- Publisher
- CRC Press
- Volume
- 1
- Pages
- 699–718
- Publication date
- 20 February 2026
- Language
- EN
- Document type
- Book chapter