Von Neumann stability analysis of first-order accurate discretization schemes for one-dimensional (1D) and two-dimensional (2D) fluid flow equations

DOI10.1016/j.camwa.2017.09.040zbMath1409.76089OpenAlexW2766018553MaRDI QIDQ1732350

Santosh Konangi, Urmila Ghia, Nikhil Kumar Palakurthi

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.09.040

zbMATH Keywords

stability analysisEuler equationsfinite-differenceRiemann problemvon NeumannCourant number

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Euler equations (35Q31)

Related Items

On \(L^2\)-dissipativity of a linearized scheme on staggered meshes with a regularization for 1D barotropic gas dynamics equations

Uses Software

• FLUENT
• OpenFOAM

Cites Work

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• On the edge of stability analysis
• Stability charts in the numerical approximation of partial differential equations: A review
• The controversial stability analysis
• Stability Analysis of Finite Difference Schemes for the Advection-Diffusion Equation
• The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation
• Classification of the Riemann Problem for Two-Dimensional Gas Dynamics
• Stability analysis of explicit finite difference schemes for the Navier-Stokes equations
• Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
• Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
• Computer Science Handbook
• Stability and convergence in fluid flow problems
• von Neumann stability conditions for the convection-diffusion eqation
• Stability analysis of segregated solution methods for compressible flow

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