University of North Texas Digital Library (University of North Texas) · 1994 · 55 citations · 0 references
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Numerical AnalysisMultiphase FlowsEngineeringFluid MechanicsBasic ClosuresNumerical SimulationFormal SystemHydrodynamic StabilityFormal NotationMultiphysics ProblemMultiphase FlowMultiphase ProcessingNumerical Method For Partial Differential EquationEnsemble-average EquationsMultimaterial FormalismAutomated ReasoningFormal MethodsFormalizationMultiscale Modeling
This is the first of two articles concerned with the simulation of multiphase flows. The discussion begins here with a derivation of the exact, ensemble-average equations. Examples of the most basic closures are given, and the well-posedness of the equations is demonstrated in the context of forward-time numerical solution procedures.