Modeling of nonparallel effects in temporal direct numerical simulations of compressible boundary-layer transition
type: Item
instance of: scholarly article
title: Modeling of nonparallel effects in temporal direct numerical simulations of compressible boundary-layer transition
zbMATH Open document ID: 0823.76033
DOI: 10.1007/BF00311810
author: Yanyan Li
published in: Theoretical and Computational Fluid Dynamics
publication date: 1995-06-08T00:00:00Z
review text: One important alternative to spatial direct numerical simulation of a growing boundary-layer transition is a temporal direct numerical simulation (TDNS), where the flow is assumed to be locally parallel and the transition develops in time. To model nonparallel effects of a growing boundary layer, the TDNS allows the boundary layer to grow in time. For a compressible boundary layer, we first split the variation of the flow field in the streamwise direction into a slowly evolving part and a fast and small-scale fluctuation part. By Taylor-expanding the slowly evolving large-scale part, this study shows that the Navier-Stokes operator can be reformulated as a power series of the perturbation parameter \((x- x_ 0)\), yielding one set of equations for each power. Each set of these equations has a periodic solution in the streamwise direction, and therefore a modified TDNS method can be employed to solve these equations. Only the first set of the equations is considered in the applications presented.
Mathematics Subject Classification ID: 76E99
Mathematics Subject Classification ID: 76N20
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 762145
zbMATH Keywords: Navier-Stokes operator
zbMATH Keywords: power series
zbMATH Keywords: perturbation parameter
zbMATH Keywords: periodic solution
Wikidata QID: Q61613104
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 762145