ON UNSTEADY STATE MOVING BOUNDARY PROBLEMS FOR NON-PLANE GEOMETRIES

Hybrid Methods for Unsteady Fluid Flow Problems in Complex Geometries

Moving boundary problems on Earth’s surface

In a moving boundary problem one or more of the domain boundaries is an unknown function of time. The classic moving boundary problem, the Stefan problem, is related to the tracking of a sharp liquid/solid front during the melting of ice. A major societal problem of our time is the current rapid rate of degradation of Earth environments and resources through climate change and other anthropogen...

Moving boundary problems and non - uniqueness forthe thin

A variety of mass preserving moving boundary problems for the thin lm equation, u t = ?(u n u xxx) x , are derived (by formal asymptotics) from a number of regularisations, the case in which the substrate is covered by a very thin pre-wetting lm being discussed in most detail. Some of the properties of the solutions selected in this fashion are described and the full range of possible mass pres...

Maximally Non–integrable Plane Fields on Thurston Geometries

We study Thurston geometries (X, G) with contact structures and Engel structures which are compatible with the action of the isometry group G. We classify geometric contact structures and geometric Engel structures up to equivalence and we compare the geometric Engel structures with other constructions of Engel manifolds.

Anisotropic metric-based mesh adaptation for unsteady CFD simulations involving moving geometries