International Journal of Modern Physics C · 2007 · 38 citations · 7 references
Numerical AnalysisEngineeringFluid MechanicsMechanical EngineeringParticle MethodComputational MechanicsRarefied Flow4-1 Planar ContractionNumerical SimulationLattice Boltzmann ModelPhysicsMultiphysics ProblemMultiphase FlowNumerical Method For Partial Differential EquationFinite Element MethodFluid-structure InteractionNatural SciencesFluid-solid InteractionGeneralized Newtonian FluidMultiscale Modeling
This paper proposes a study of the computational efficiency of a lattice Boltzmann model (LBM) solver to simulate the behavior of a generalized Newtonian fluid. We present recent progress concerning a 4-1 planar contraction considering a power-law and a Carreau-law model. First we compare the power-law model for a Poiseuille flow with the analytical solution, and show that our model is second-order accurate in space. Then we compare the results obtained with LBM for both laws to those obtained using a commercial finite element solver for the 4-1 plane sharp corner contraction.
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