The influence of differencing and CFL number on implicit time-dependent non-linear calculations

DOI10.1016/0021-9991(86)90128-2zbMath0619.65082OpenAlexW2076569899MaRDI QIDQ1089756

Sebastien M. Candel, Thierry Poinsot

Publication date: 1986

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90128-2

zbMATH Keywords

stabilityBurgers equationEuler equationsCFL numberblock implicit methodimplicit finite difference algorithms

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Unnamed Item
• Focusing: A mechanism for instability of nonlinear finite difference equations
• Implicit total variation diminishing (TVD) schemes for steady-state calculations
• On the structure and use of linearized block implicit schemes
• Solution of the multidimensional compressible Navier-Stokes equations by a generalized implicit method
• Hyperbolic systems of conservation laws II
• Weakly nonlinear high frequency waves
• Implicit upwind methods for the compressible Navier-Stokes equations
• The Lagrangian approach of advective term treatment and its application to the solution of Navier—Stokes equations
• Boundary Approximations for Implicit Schemes for One-Dimensional Inviscid Equations of Gasdynamics

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