Search results for " convective flow"

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MAST solution of advection problems in irrotational flow fields

2007

Abstract A new numerical–analytical Eulerian procedure is proposed for the solution of convection-dominated problems in the case of existing scalar potential of the flow field. The methodology is based on the conservation inside each computational elements of the 0th and 1st order effective spatial moments of the advected variable. This leads to a set of small ODE systems solved sequentially, one element after the other over all the computational domain, according to a MArching in Space and Time technique. The proposed procedure shows the following advantages: (1) it guarantees the local and global mass balance; (2) it is unconditionally stable with respect to the Courant number, (3) the so…

Eulerian methods convective flow computational methodsComputer scienceAdvectionNumerical analysisCourant–Friedrichs–Lewy conditionOdeScalar potentialEulerian pathConservative vector fieldsymbols.namesakeMonotone polygonCalculussymbolsApplied mathematicsWater Science and Technology
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