Stability investigation of Runge-Kutta schemes with artificial dissipator on curvilinear grids for the Euler equations

DOI10.1016/S0378-4754(01)00321-4zbMath0986.65081OpenAlexW2021503680MaRDI QIDQ5952564

Evgenii V. Vorozhtsov, Victor G. Ganzha

Publication date: 27 February 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(01)00321-4

zbMATH Keywords

stabilityartificial viscosityEuler equationsshocksFourier methodartificial dissipatorcurvilinear gridsfinite volume Runge-Kutta time stepping schemefluid dynamics

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) 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)

Related Items

Control of numerical effects of dispersion and dissipation in numerical schemes for efficient shock-capturing through an optimal Courant number

Uses Software

• Mathematica

Cites Work

• Accelerated convergence of Jameson's finite-volume Euler scheme using van der Houwen integrators
• Some recent developments in numerical methods for transonic flows
• A multi-surface method of coordinate generation
• On central-difference and upwind schemes
• Symbolic-numerical computation of the stability regions for Jameson's schemes.
• Application of computer algebra systems for stability analysis of difference schemes on curvilinear grids
• Diagonalization and Simultaneous Symmetrization of the Gas-Dynamic Matrices
• From Semidiscrete to Fully Discrete: Stability of Runge--Kutta Schemes by The Energy Method
• Integration of Navier-Stokes equations using dual time stepping and a multigrid method
• Optimal multistage schemes for Euler equations with residual smoothing
• Stability Theory for Partial Difference Operators
• On stability for difference schemes; a sharp form of gårding's inequality
• A Method for the Numerical Calculation of Hydrodynamic Shocks
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