Physical and Mathematical Fluid Mechanics

• Main Author: Markus Scholle
• Format: Article
• Language: English
• Published: MDPI AG 2020-08-01
• Series: Water
• Subjects: analytical and numerical methods; variational calculus; deterministic and stochastic approaches; incompressible and compressible flow; continuum hypothesis; advanced mathematical methods
• Online Access: https://www.mdpi.com/2073-4441/12/8/2199

Fluid mechanics has emerged as a basic concept for nearly every field of technology. Despite there being 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 involved, and there are still open questions regarding the underlying physics of fluid flow, especially with respect to the continuum hypothesis and thermodynamic local equilibrium. The aim of this Special Issue is to reference recent advances in the field of fluid mechanics both in terms of developing sophisticated mathematical methods for finding solutions of the equations of motion, on the one hand, and on novel approaches to the physical modelling beyond the continuum hypothesis and thermodynamic local equilibrium, on the other.