Semi-implicit Runge-Kutta schemes for the Navier-Stokes equations

DOI10.1007/BF02510178zbMath0872.76067OpenAlexW2079002147MaRDI QIDQ678222

Erik Sterner

Publication date: 16 April 1997

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02510178

zbMATH Keywords

iterationsexplicit time integrationbody-normal directionflow over flat platestreamwise direction

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

Embedded Additive Runge-Kutta Methods, An additive semi-implicit Runge--Kutta family of schemes for nonstiff systems, Convergence analysis of iterative methods by pseudodifference operators, Semi-implicit Runge-Kutta schemes for the Navier-Stokes equations, Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations

Cites Work

• Semi-implicit Runge-Kutta schemes for the Navier-Stokes equations
• Improved implicit residual smoothing for steady state computations of first-order hyperbolic systems
• Stability of a Runge-Kutta method for the Navier-Stokes equation
• The GMRES method improved by securing fast wave propagation
• An extension ofA-stability to alternating direction implicit methods
• Computational transonics
• Flux-limited schemes for the compressible Navier-Stokes equations
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