Physical and Mathematical Fluid Mechanics

• Other Authors: Scholle, Markus (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
• Subjects: History of engineering & technology; image processing; streaky structures; hairpin vortex; attached-eddy vortex; streamwise vortex; wetting shock fronts; shear flow; viscosity; capillarity; kinematic waves; log-law; flow partitioning theory; characteristic point location; velocity; discharge; groundwater inrush; the Luotuoshan coalmine; damage mechanism; karst collapse column; poroacoustics; Rubin-Rosenau-Gottlieb theory; solitary waves and kinks; Navier-Stokes equation; stochastic Lagrangian flows; stochastic variational principles; stochastic geometric mechanics; potential fields; Clebsch variables; Airy's stress function; Goursat functions; Galilean invariance; variational principles; boundary conditions; film flows; analytical and numerical methods; variational calculus; deterministic and stochastic approaches; incompressible and compressible flow; continuum hypothesis; advanced mathematical methods
• Online Access: DOAB: download the publication; DOAB: description of the publication

Fluid mechanics has emerged as a basic concept for nearly every field of technology. Despite a well-developed mathematical theory and available commercial software codes, the computation of solutions of the governing equations of motion is still challenging, especially due to the nonlinearity involv...