The Theory of Spectra and Atomic Constitution: Three Essays

The Theory of Spectra and Atomic Constitution: Three Essays
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作者:
2011-06
ISBN: 9781107669819
定价: 512.00
装帧: 平装
开本: 其他
纸张: 其他
页数: 150页
正文语种: 英语
  • Numericalsimulationofcompressible,inviscidtime-dependentflowisamajorbranchofcomputationalfluiddynamics.Itsprimarygoalistoobtainaccuraterepresentationofthetimeevolutionofcomplexflowpatterns,involvinginteractionsofshocks,interfaces,andrarefactionwaves.TheGeneralizedRiemannProblem(GRP)algorithm,developedbytheauthorsforthispurpose,providesaunifying'shell'whichcomprisessomeofthemostcommonlyusednumericalschemesofthisprocess.This2003monographgivesasystematicpresentationoftheGRPmethodology,startingfromtheunderlyingmathematicalprinciples,throughbasicschemeanalysisandschemeextensions(suchasreactingflowortwo-dimensionalflowsinvolvingmovingorstationaryboundaries).Anarrayofinstructiveexamplesillustratestherangeofapplications,extendingfrom(simple)scalarequationstocomputationalfluiddynamics.Backgroundmaterialfrommathematicalanalysisandfluiddynamicsisprovided,makingthebookaccessibletobothresearchersandgraduatestudentsofappliedmathematics,scienceandengineering.
  • 内容简介:
    Numericalsimulationofcompressible,inviscidtime-dependentflowisamajorbranchofcomputationalfluiddynamics.Itsprimarygoalistoobtainaccuraterepresentationofthetimeevolutionofcomplexflowpatterns,involvinginteractionsofshocks,interfaces,andrarefactionwaves.TheGeneralizedRiemannProblem(GRP)algorithm,developedbytheauthorsforthispurpose,providesaunifying'shell'whichcomprisessomeofthemostcommonlyusednumericalschemesofthisprocess.This2003monographgivesasystematicpresentationoftheGRPmethodology,startingfromtheunderlyingmathematicalprinciples,throughbasicschemeanalysisandschemeextensions(suchasreactingflowortwo-dimensionalflowsinvolvingmovingorstationaryboundaries).Anarrayofinstructiveexamplesillustratestherangeofapplications,extendingfrom(simple)scalarequationstocomputationalfluiddynamics.Backgroundmaterialfrommathematicalanalysisandfluiddynamicsisprovided,makingthebookaccessibletobothresearchersandgraduatestudentsofappliedmathematics,scienceandengineering.
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