All Outputs (4)

A Potential Field Description for Gravity-Driven Film Flow over Piece-Wise Planar Topography (2019)
Journal Article
Scholle, M., Gaskell, P. H., & Marner, F. (2019). A Potential Field Description for Gravity-Driven Film Flow over Piece-Wise Planar Topography. Fluids, 4(2), Article 82. https://doi.org/10.3390/fluids4020082

Models based on a potential field description and corresponding first integral formulation, embodying a reduction of the associated dynamic boundary condition at a free surface to one of a standard Dirichlet-Neumann type, are used to explore the prob... Read More about A Potential Field Description for Gravity-Driven Film Flow over Piece-Wise Planar Topography.

Competing Lagrangians for incompressible and compressible viscous flow (2019)
Journal Article
Marner, F., Scholle, M., Herrmann, D., & Gaskell, P. (2019). Competing Lagrangians for incompressible and compressible viscous flow. Royal Society Open Science, 6(1), Article 181595. https://doi.org/10.1098/rsos.181595

A recently proposed variational principle with a discontinuous Lagrangian for viscous flow is reinterpreted against the background of stochastic variational descriptions of dissipative systems, underpinning its physical basis from a different viewpoi... Read More about Competing Lagrangians for incompressible and compressible viscous flow.

Exact integration of the unsteady incompressible Navier-Stokes equations, gauge criteria, and applications (2018)
Journal Article
Scholle, M., Gaskell, P., & Marner, F. (2018). Exact integration of the unsteady incompressible Navier-Stokes equations, gauge criteria, and applications. Journal of Mathematical Physics, 59(4), Article 043101. https://doi.org/10.1063/1.5031119

An exact first integral of the full, unsteady, incompressible Navier-Stokes equations is achieved in its most general form via the introduction of a tensor potential and parallels drawn with Maxwell’s theory. Subsequent to this gauge freedoms are exp... Read More about Exact integration of the unsteady incompressible Navier-Stokes equations, gauge criteria, and applications.

A non-conventional discontinuous Lagrangian for viscous flow (2017)
Journal Article
Scholle, M., & Marner, F. (2017). A non-conventional discontinuous Lagrangian for viscous flow. Royal Society Open Science, 4(2), Article 160447. https://doi.org/10.1098/rsos.160447

Drawing an analogy with quantum mechanics, a new Lagrangian is proposed for a variational formulation of the Navier–Stokes equations which to-date has remained elusive. A key feature is that the resulting Lagrangian is discontinuous in nature, posing... Read More about A non-conventional discontinuous Lagrangian for viscous flow.