DESCRIPTION AND WENO NUMERICAL APPROXIMATION TO NONLINEAR WAVES OF A MULTI-CLASS TRAFFIC FLOW LWR MODEL-中国期刊网

摘要 Astrictproofofthehyperbolicityofthemulti-classLWR(Lighthill-Whitham-Richards)trafficflowmodel,aswellasthedescriptionsonthosenonlinearwavescharacterizedinthetrafficflowproblemsweregiven.Theyweremainlyaboutthemonotonicityofdensitiesacrossshocksandinrarefactions.Asthesystemhadnocharacteristicdecompositionexplicitly,ahighresolutionandhigherorderaccuracyWENO(weightedessentiallynon-oscillatory)schemewasintroducedtothenumericalsimulation,whichcoincideswiththeanalyticaldescription.

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DESCRIPTION AND WENO NUMERICAL APPROXIMATION TO NONLINEAR WAVES OF A MULTI-CLASS TRAFFIC FLOW LWR MODEL

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DESCRIPTION AND WENO NUMERICAL APPROXIMATION TO NONLINEAR WAVES OF A MULTI-CLASS TRAFFIC FLOW LWR MODEL

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