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- Politecnico di Milano
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- Biomedical Engineering
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- Computational Biomechanics Laboratory
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Appunti lezioni completi CFD
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DarioGastaldiComputational BiomechanicsLaboratorythanksand creditsto: Claudio Chiastra Introduction to computational fluid dynamics analyses Content 2 1.WhatisaCFDsimulation?2.BasicstepsofaCFDsimulation3.AvailablemodelsinaCFDsoftware4.Applications5.GoverningEquations1.Continuityequation2.Momentumequation3.Energyequation 00.210.42VELOCITY[m/s]04590 00,450,9 Flow rate [mL/min] Time [s] Computational fluid dynamics(CFD) is the analysis of systems involving fluid flow, heat transfer and associated phenomena (e.g. chemical reactions) by means of computer-based simulation.What is a CFD simulation? 3 Coronary artery (angiography) Flow IDEALIZATIONDISCRETIZATIONSOLUTIONPhysical SystemMathematical ModelDiscrete ModelDiscrete SolutionSolution errorSolution + discretization errorSolution + discretization + modeling error Incompressible flows•Governing equations•Boundary conditions What is a CFD simulation? Basic Steps 4 FVM(or FEM) Physical system CFD Results CFD Model IDEALIZATIONDISCRETIZATIONSOLUTIONPhysical SystemMathematical ModelDiscrete ModelDiscrete SolutionSolution errorSolution + discretization errorSolution + discretization + modeling error What is a CFD simulation? Basic Steps 21 FVM(or FEM) Incompressible flows Physical systemCFD Model Governing Equations 22 Conservative form (Eulerian reference frame)Mass conservation !"!#=%!&'&#!( !"!#=)̇"!"−)̇"#$% Hence)̇"!"−)̇"#$%=−%"',-.!/=−%!0-(',)!( where %!&'&#+0-(',)!(=0&'&#+0-',=0Continuity equationIn case of steady-state flowIn case of incompressible fluid0-',=00-,=0 ̇"!" ̇"#$%#"#$ !"# $%$& '&'( ')*( IDEALIZATIONDISCRETIZATIONSOLUTIONPhysical SystemMathematical ModelDiscrete ModelDiscrete SolutionSolution errorSolution + discretization errorSolution + discretization + modeling error What is a CFD simulation? Basic Steps 21…
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