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Springer.Computational.turbulent.incompressible.flow.(Springer.2006)

Springer.Computational.turbulent.incompressible.flow.(Springer.2006)

ID：34496071

大小：17.46 MB

页数：400页

时间：2019-03-06

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1、ThisispageiPrinter:OpaquethisComputationalTurbulentIncompressibleFlowAppliedMathematics:Body&SoulVol4JohanHoffmanandClaesJohnson24thApril2006iiPrefaceAppliedMathematics:Body&Soulisamathematicseducationreformprogramincludingaseriesofbooks,togetherwithassociatededucatio

2、nalmaterialandopensourcesoftwarefreelyavailablefromtheprojectwebpageatwww.bodysoulmath.org.Body&Soulre ectstherevolutionarynewpossibilitiesofmathematicalmodelingopenedbythemoderncomputerintheformofComputationalCalculus(CC),whichisnowchangingtheparadigmofmathematicalmo

3、d-elinginscienceandtechnologywithnewmethods,questionsandanswers,asamodernformoftheclassicalcalculusofLeibnizandNewton.TheBody&SoulseriesofbookspresentsCCinasynthesisofcompu-tationalmathematics(Body)andanalyticalmathematics(Soul)includingapplications.Volumes1-3[36]give

4、amodernversionofcalculusandlinearalgebraincludingcomputationstartingatabasicundergraduatelevel,andsubsequentvolumesonagraduatelevelcoverdi erentareasofapplicationswithfocusoncomputationalmethods:Volume4:ComputationalTurbulentIncompressibleFlow.Volume5:ComputationalT

5、hermodynamics.Volume6:ComputationalDynamicalSystems.ThepresentbookisVolume4,withVolumes5and6toappearin2007andfurthervolumesonsolidmechanicsandelectro-magneticsbeingplanned.AgentleintroductiontotheBody&Soulseriesisgivenin[62].TheoverallgoaloftheBody&Soulprojectmaybefo

6、rmulatedastheAutomationofComputationalMathematicalModeling(ACMM)involvingthekeystepsofautomationof(i)discretization,(ii)optimizationand(iii)modeling.TheobjectiveofACMMistoopenformassiveuseofCCinscience,engineering,medicine,andotherareasofapplication.ACMMisrealizedinth

7、eFEniCSproject(www.fenics.org),whichrepresentsthetopsoftwarepartofBody&Soul.Theautomationofdiscretization(i)involvesautomatictranslationofagivendi erentialequationinstandardmathematicalnotationintoadis-cretesystemofequations,whichcanbeautomaticallysolvedusingnumer-ica

8、llinearalgebratoproduceanapproximatesolutionofthedi erentialequation.Thetranslationisperformedusingadaptivestabilized niteel

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