𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Design Criteria for Local Euler Preconditioning

✍ Scribed by Dohyung Lee

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
404 KB
Volume
144
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis

Euler preconditioning has remarkable benefits in removing stiffness, making systems of equations behave as a scalar equation, preserving accuracy, and decoupling the Euler equations. Design criteria for optimal Euler preconditioning are discussed that retain the basic preconditioning benefits and remove the causes of instabilities due to the use of preconditioning. New families of 1D and 2D optimal Euler preconditioners are presented that may satisfy the design criteria in an optimal way. In particular, focusing on resolution of the stability problem associated with stagnation points, a stagnation preconditioner and a suboptimal Van Leer-Lee-Roe preconditioner are studied. These preconditioners are less sensitive to flow-angle variation across cells and/or produce a closer-to-orthogonal eigenvector system.

πŸ“œ SIMILAR VOLUMES

The Design of Local Navier–Stokes Precon
The Design of Local Navier–Stokes Preconditioning for Compressible Flow
✍ Dohyung Lee πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 381 KB

A family of Navier-Stokes preconditioners is presented that may reduce the stiffness due to complicated interaction between convection and diffusion in viscous flows. Navier-Stokes preconditioning is developed based on a Fourier analysis of the discretized equations and a dispersion analysis of the

A preconditioning technique for steady E
A preconditioning technique for steady Euler solutions
✍ Y.S. Wong; H. Li πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 120 KB

This paper presents a preconditioning technique for solving a two-dimensional system of hyperbolic equations. The main attractive feature of this approach is that, unlike a technique based on simply extending the solver for a one-dimensional hyperbolic system, convergence and stability analysis can

A Robust Multigrid Algorithm for the Eul
A Robust Multigrid Algorithm for the Euler Equations with Local Preconditioning and Semi-coarsening
✍ D.L Darmofal; K Siu πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 321 KB

A semi-coarsened multigrid algorithm with a point block Jacobi, multi-stage smoother for second-order upwind discretizations of the two-dimensional Euler equations which produces convergence rates independent of grid size for moderate subsonic Mach numbers is presented. By modification of this base

Eigenmode Analysis of Boundary Condition
Eigenmode Analysis of Boundary Conditions for the One-Dimensional Preconditioned Euler Equations
✍ David L. Darmofal; Pierre Moinier; Michael B. Giles πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 93 KB

The effect of local preconditioning on boundary conditions is analyzed for the subsonic, one-dimensional Euler equations. Decay rates for the eigenmodes of the initial boundary value problem are determined for different boundary conditions and different preconditioners whose intent is to accelerate