Simulation techniques for spatially evolving instabilities in compressible flow over a flat plate
type: Item
instance of: scholarly article
title: Simulation techniques for spatially evolving instabilities in compressible flow over a flat plate
zbMATH Open document ID: 0962.76067
DOI: 10.1016/S0045-7930(97)00021-2
author: B. Wasistho
author: J. G. M. Kuerten
author: Bernard Geurts
published in: Computers and Fluids
publication date: 2001-05-29T00:00:00Z
review text: The spatially evolving boundary layer over a flat plate is studied in two dimensions by direct numerical simulation of compressible Navier-Stokes equations. The authors focus on two aspects: the spatial discretization method, and the treatment of artificial boundaries, primarily the outflow boundary. A second-order and a fourth-order accurate central schemes are compared for the spatial discretization. Nonreflecting boundary conditions are proposed for the outflow boundary, and an additional buffer domain in the vicinity of outflow boundary is introduced where the flow is gradually brought back to the laminar case by multiplying the disturbancies by a damping function. An explicit four-stage compact-storage Runge-Kutta scheme is used for time integration. The central difference approximations and the buffer domain treatment are extensively evaluated for a series of test cases and compared to solutions of simplified mathematical models, such as linear stability theory and linear parabolized stability equations.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 76N20
zbMATH DE Number: 1143702
zbMATH Keywords: spatially evolving boundary layer
zbMATH Keywords: compressible Navier-Stokes equations
zbMATH Keywords: Tollmien-Schlichting waves
zbMATH Keywords: direct numerical simultion
zbMATH Keywords: spatial discretization
zbMATH Keywords: artificial boundaries
zbMATH Keywords: outflow boundary
zbMATH Keywords: nonreflecting boundary conditions
zbMATH Keywords: buffer domain
zbMATH Keywords: explicit four-stage compact-storage Runge-Kutta scheme
zbMATH Keywords: time integration
zbMATH Keywords: central difference approximations
zbMATH Keywords: linear stability theory
zbMATH Keywords: linear parabolized stability equations
reviewed by: Walter Zulehner
MaRDI profile type: Publication
cites work: Numerical simulation of boundary-layer transition and transition control
cites work: Boundary conditions for subsonic compressible Navier-Stokes calculations
cites work: Time dependent boundary conditions for hyperbolic systems
cites work: Boundary conditions for direct simulations of compressible viscous flows
cites work: Initial boundary value problems for incompletely parabolic systems
cites work: Fourth order finite difference and multigrid methods for modeling instabilities in flat plate boundary layers -- 2-D and 3-D approaches
cites work: Spatial direct numerical simulation of high-speed boundary-layer flows. I: Algorithmic considerations and validation
cites work: Spectral multi-domain for large-scale fluid dynamic simulations
cites work: Q5721923
cites work: Q5689517
cites work: Large-eddy simulation of the turbulent mixing layer
cites work: Q5749007
cites work: Compressibility effects on the growth and structure of homogeneous turbulent shear flow
cites work: Transonic potential flow calculations by two artificial density methods
cites work: Numerical simulation of separated boundary layer flow
cites work: Q4351212
cites work: Investigation of the stability of boundary layers by a finite-difference model of the Navier—Stokes equations
full work available at URL: s0045-7930(97)00021-2
OpenAlex ID: W2112101652
description: scientific article; zbMATH DE number 1143702