Table Of ContentLecture Notes
in Computational Science 81
and Engineering
Editors:
TimothyJ. Barth
MichaelGriebel
David E.Keyes
RistoM. Nieminen
Dirk Roose
TamarSchlick
Forfurthervolumes:
http://www.springer.com/series/3527
Carmelo Clavero (cid:2) José Luis Gracia
Francisco J. Lisbona
Editors
BAIL 2010 - Boundary
and Interior Layers,
Computational
and Asymptotic Methods
123
Editors
CarmeloClavero FranciscoJ.Lisbona
JoséLuisGracia UniversityofZaragoza
UniversityofZaragoza Dept.ofAppliedMathematics
Dept.ofAppliedMathematics FacultaddeCiencias
CentroPolitécnicoSuperior PedroCerbuna12
MaríadeLuna3 50009Zaragoza
50018Zaragoza Spain
Spain [email protected]
[email protected]
[email protected]
ISSN1439-7358
ISBN978-3-642-19664-5 e-ISBN978-3-642-19665-2
DOI10.1007/978-3-642-19665-2
SpringerHeidelbergDordrechtLondonNewYork
LibraryofCongressControlNumber:“PCNAppliedfor”
MathematicsSubjectClassification(2010):65L11,65L12,65L20,65N06,65N12
(cid:2)c Springer-VerlagBerlinHeidelberg2011
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Preface
These proceedings contain selected papers associated with the lectures presented
at BAIL 2010 (Boundary and Interior Layers – Computational and Asymptotic
Methods). This conference was held from 5 to 9 July 2010 at the University of
Zaragoza,Spain.The64participantscamefrommanydifferentcountries,namely:
Argentina, China, France, Germany, India, Ireland, Italy, Russia, South Korea,
Spain,Sweden,theUK,andtheUSA.TheBAILseriesofconferencesaretheresult
of an initiative by Professor John Miller, who organized the first three in Dublin
in 1980, 1982, and 1984. Subsequent conferences were then held in Novosibirsk
(1986),Shanghai(1988),CopperMountain,Colorado(1992),Beijing(1994),Perth
(2002), Toulouse (2004),Göttingen (2006),and Limerick (2008).The next BAIL
ConferencewillbeinPohang,SouthKorea,in2012.
Totally 61 lectures were presented at the BAIL 2010, of which 5 were ple-
nary lectures, 17 were given at the mini-symposiaFinite Element Methods Using
Layer-Adapted Grids and Robust Methods for Time-Dependent Singularly Per-
turbedProblems,and39 werecontributionson othersubjects.Themain objective
of the BAIL conferences is to bring together researchers interested in boundary
andinteriorlayers.Thisincludesmathematiciansandengineerswhoworkontheir
theoreticaland numericalaspects, and also those researchersconcernedwith their
application to a variety of areas such as fluid dynamics, semiconductors, control
theory,chemicalreactions,andporousmedia.
The lectures presentedat the conferenceshowed the diversity of investigations
relatedtothesetopics.Theproceedingsprovideauniqueoverviewofresearchinto
variousaspectsofsingularlyperturbedproblemsandinparticulartheefficientres-
olutionofboundaryandinteriorlayersusingnumericalmethods.Theyalsoinclude
examplesofapplicationsofthisclassofproblems.
All papers in the proceedingswere subjected to a standardized refereeing pro-
cess. We would like to thank the authors for their cooperation in the publication
of their workin thisvolume ofLNCSE and also the anonymousrefereesfor their
workanddedication,withoutwhichitwouldhavebeenimpossibletoproducethis
publication.
Finally, we wish to thank the sponsorsof the conference:the Spanish Govern-
ment’s project MTM2009-07637-E, the Government of Aragón, the University
of Zaragoza, and the Instituto Universitario de Matemáticas y Aplicaciones. Our
v
vi Preface
thanks also go to the members of the Scientific Committee, the organizersof the
mini-symposia, all the attendees for their participation in the conference, and the
research group Numerical Methods for Partial Differentialand IntegralEquations
foritsworkinhandlingallorganizationaltasks.
January2010 CarmeloClavero
JoséLuisGracia
FranciscoLisbona
Contents
ModelingAcousticStreamingOnAVibratingParticle ....................... 1
RajaiS.Alassar
Performance of Stabilized Higher-Order Methods
forNonstationaryConvection-Diffusion-ReactionEquations................. 11
MarkusBause
NumericalApproximationofConvection-DiffusionProblems
ThroughthePSIMethodandCharacteristicsMethod........................ 21
M. Benítez García, T. Chacón Rebollo, M. Gómez Mármol,
andG.Narbona-Reina
OnNovelPropertiesof Multimode BoundaryConditions
inElectromagnetismandTheirConsequences ................................. 29
J.M.L.Bernard
Uniform Quadratic Convergence of Monotone Iterates
forSemilinearSingularlyPerturbedEllipticProblems........................ 37
IgorBoglaev
Finite Element Discretizationsof Optimal ControlFlow
ProblemswithBoundaryLayers................................................. 47
M.BraackandB.Tews
Asymptotic Behavior of a Viscous Fluid
NearaRoughBoundary .......................................................... 57
J.Casado-Díaz,M.Luna-Laynez,andF.J.Suárez-Grau
High Reynolds Channel Flows: Upstream Interaction
ofVariousWallDeformations .................................................... 65
P.Cathalifaud,M.Zagzoule,J.Cousteix,andJ.Mauss
vii
viii Contents
Uniformly Convergent Finite Difference Schemes
forSingularlyPerturbed1DParabolic
Reaction–DiffusionProblems..................................................... 75
C.ClaveroandJ.L.Gracia
FiniteElementApproximationoftheConvection-Diffusion
Equation: Subgrid-Scale Spaces, Local Instabilities
andAnisotropicSpace-TimeDiscretizations.................................... 85
RamonCodina
A Two-Weight Scheme for a Time-Dependent
Advection-DiffusionProblem..................................................... 99
NareshM.ChadhaandNiallMadden
Error Estimates for a Mixed Hybridized Finite Volume
Methodfor2ndOrderEllipticProblems........................................109
CarlodeFalcoandRiccardoSacco
OntheChoiceofMeshforaSingularlyPerturbedProblem
withaCornerSingularity.........................................................119
SebastianFranz,R.BruceKellogg,andMartinStynes
LocalProjectionStabilisationon Layer-AdaptedMeshes
forConvection-DiffusionProblemswithCharacteristicLayers
(PartIandII).......................................................................127
SebastianFranzandGunarMatthies
A Singularly Perturbed ConvectionDiffusion Parabolic
ProblemwithanInteriorLayer..................................................139
J.L.GraciaandE.O’Riordan
Mesh Adaptivity Using VMS Error Estimators:
ApplicationtotheTransportEquation..........................................147
G.Hauke,M.H.Doweidar,andS.Fuentes
Numerical Simulation of Turbulent Incompressible
andCompressibleFlowsOverRoughWalls....................................157
PetrLouda,JaromírPˇríhoda,andKarelKozel
A Projection-Based Variational Multiscale Method
fortheIncompressibleNavier–Stokes/FourierModel .........................167
JohannesLöwe,GertLube,andLarsRöhe
Contents ix
Improved Mathematical and Numerical Modelling
ofDispersionofaSolutefromaContinuousSource...........................177
NiallMaddenandKajalKumarMondal
NumericalMethod fora Nonlinear Singularly Perturbed
InteriorLayerProblem............................................................187
E.O’RiordanandJ.Quinn
Large-EddySimulationofWall-BoundedTurbulent Flows:
Layer-Adapted Meshes vs. Weak Dirichlet Boundary
Conditions...........................................................................197
LarsRöheandGertLube
Improved Scheme on Adapted Locally-UniformMeshes
foraSingularlyPerturbedParabolicConvection-Diffusion
Problem .............................................................................207
G.I.Shishkin
FluxDifferenceSchemesforParabolicReaction-Diffusion
EquationswithDiscontinuousData..............................................217
L.P.ShishkinaandG.I.Shishkin
NumericalApproximationofFlowInducedVibrationofVocal
Folds.................................................................................227
P.SvácˇekandJ.Horácˇek
Fundamental Propertiesof the Solution of a Singularly
PerturbedDegenerateParabolicProblem ......................................235
MartinViscorandMartinStynes
HighReynoldsChannelFlows:VariableCurvature...........................245
M.Zagzoule,P.Cathalifaud,J.Cousteix,andJ.Mauss
