This 2006 book provides a detailed and comprehensive analytical development of the Lagrangian formulation of fluid dynamics.pdf. Consider rectilinear motion first. The integral representation of displacement (10.2) may be approximated by a Riemann sum: M-I XM=a + A/ ApM, , , , (10.12) m= 0 where um = u(a, s\tm), XM = X(a, s\tM) and tm = maamp;t + s. ... K M = i A/ ( LL- } . while the overbars denote arithmetic means: * \ / M Proof of the central limit theorem (CLT) in this nonstationary 10.2 Displacement pelf 125 10.2 Displacement pdf.
|Title||:||Lagrangian Fluid Dynamics|
|Publisher||:||Cambridge University Press - 2006-03-09|