Numerical simulations of three-dimensional natural transition in the compressible confined shear layer

DOI10.1063/1.858703zbMath0822.76029OpenAlexW1964844845MaRDI QIDQ4282452

Fabrice Mathey, Ralf Jens Gathmann, Mohammed Si-Ameur

Publication date: 17 April 1994

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858703

zbMATH Keywords

Navier-Stokes equationsKelvin-Helmholtz instabilitypiecewise parabolic methodGodunov methodfinite volume schemeRiemann solverRunge-Kutta time steppingrectangular channelmixture of ideal gasesmultiple unstable modes

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Shear flows and turbulence (76F10) Parallel shear flows in hydrodynamic stability (76E05) Supersonic flows (76J20)

Related Items

Effect of density gradients in confined supersonic shear layers. I. Two-dimensional disturbances ⋮ Transient growth in compressible boundary layer flow

Cites Work

• The piecewise parabolic method (PPM) for gas-dynamical simulations
• Low-storage Runge-Kutta schemes
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A numerical study of supersonic turbulence
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• On the disturbed motion of a plane vortex sheet
• The instability and acoustic wave modes of supersonic mixing layers inside a rectangular channel
• A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability
• A note on an algebraic instability of inviscid parallel shear flows
• A New Mechanism For Linear and Nonlinear Hydrodynamic Instability
• Numerical investigation on the structure of a confined supersonic mixing layer
• The nonlinear development of supersonic instability waves in a mixing layer
• Vector Eigenfunction Expansions for Plane Channel Flows
• Shear layer instability of an inviscid compressible fluid. Part 2
• Shear layer instability of an inviscid compressible fluid
• The growth of three-dimensional disturbances in inviscid flows