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Reynolds stressMixing length modelReynolds equationDynamical systems theoryFluid dynamicsDrag equationTurbulence modelingComputational fluid dynamicsFluctuation-dissipation theoremHydrodynamic stabilityStability theoryPerturbation theoryTransfer-matrix methodReynolds transport theoremDiscretizationPotential vorticityDetrended fluctuation analysisBoussinesq approximationRicci flowTemporal discretizationStokes stream functionSmoothed-particle hydrodynamicsApproximation theoryQuadratic variationDiffusion processMultiple-scale analysisEddy covarianceMatrix differential equationTransmission coefficientQuotient ruleFinite difference methodRecurrence quantification analysisInverse scattering transformAsymptotic homogenizationDifferential calculusTurbulence kinetic energyProbability distributionDifferential equationTotal variation diminishingRayleigh dissipation functionControl volumeReynolds numberExact differential equationTurbulenceFlow velocityCouette flowExperimental uncertainty analysisFinite volume methodPotential flowSeparation of variablesMathematical statisticsMathematical economicsDarcy friction factor formulaeMethod of characteristicsTait equationFloquet theoryMilstein methodHomogeneous isotropic turbulenceRate functionDiscrete-time fourier transformCompressible flowScattering theoryResolvent formalismLarge eddy simulationLaplace's methodQuantum jump methodPartial differential equationSpectral methodChain ruleBiharmonic equationStochastic differential equationProbability currentDirect simulation monte carloFilterStrang splittingStatistical mechanicsMethod of averagingAiry wave theoryPoisson summation formulaFractional calculusDrag coefficientDynamic structure factorGeometric flowFourier analysisReynolds stress equation modelTheoretical physicsDouble diffusive convectionCoefficient of variationCollocation methodAnalytic continuationIntegro-differential equationAdaptive mesh refinementRejection samplingConvection cellStationary phase approximationLagrange inversion theoremOperational calculusPrimitive equationsComplex analysisPhase space