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Reynolds decompositionFlow velocityStrain-rate tensorDarcy friction factor formulaeComputational fluid dynamicsLaw of the wallBiharmonic equationSchmidt numberAlternative stress measuresReynolds transport theoremCauchy momentum equationStress functionWeber numberRicci flowFlexural modulusFroude numberMean squared displacementAdaptive mesh refinementHomogeneous isotropic turbulenceStability theoryResultant forcePoisson summation formulaStrouhal numberStiffness matrixRadial distribution functionBurgers' equationCauchy stress tensorGauge covariant derivativeStochastic differential equationRiemann curvature tensorSimplec algorithmFlowTensor calculusShallow water equationsResidual sum of squaresLagrangian functionDynamical systems theoryStructural mechanicsEinstein tensorAnalytical dynamicsGeometric flowVarignon's theoremStructure tensorDynamic structure factorDirectional derivativeEquation of stateIntegral calculusKutta-joukowski theoremModulus of elasticityLangevin equationSemi-implicit euler methodStatistical mechanicsProbability currentDensity on a manifoldRelativistic angular momentumCenter of massMultiple-scale analysisEnsemble averageMean curvature flowWavefunctionAngular momentumDirac equation in curved spacetimeElectromagnetic tensorLagrange inversion theoremOnsager reciprocal relationsMethod of averagingDistribution functionSystem dynamicsMeasure theoryQuadratic variationMass matrixHamiltonianEntropy rateRiemannian geometryRotational temperatureRelativistic lagrangian mechanicsTransmission functionPrimitive equationsScrew theoryCorrelation functionMatrix differential equationLaplace operatorBessel functionTensor fieldJacobian matrix and determinantHessian matrixMultiphysics simulationCoefficient of variationControl volumeRenormalizationLie derivativeGradientFluctuation-dissipation theoremTangent modulusLiouville field theoryPrandtl numberDivergenceDuhamel's principleTensor algebraPerturbation theory