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This can allow the computation of interface movement and deformation on fixed grids.
A finite-element scheme based on a coupled arbitrary Lagrangian Eulerian and Lagrangian approach is developed for the computation of interface flows with soluble surfactants.
It is then extended to the computation of interface problems separating fluids with different EOS (liquid gas interface for example) with the Euler equations.
This model has the ability to treat multi-temperatures mixtures evolving with a single pressure and velocity and is particularly interesting for the computation of interface problems with compressible materials as well as wave propagation in heterogeneous mixtures.
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In this paper, we present a time and space rescaling scheme for the computation of moving interface problems.
Special techniques for accurate and robust computation of interface normals and derivatives of the interface function are developed.
Moreover, we have also emphasised that for piece-wise constant synaptic connectivities the interface approach becomes quasi-analytical, in that many of the terms required for the computation of the normal velocity of the interface can be calculated by hand rather than have to be found numerically.
The method relies on the computation of local parabolic reconstructions of the interface.
Moreover the computation of an effective pressure within the interface, according to the Terzaghi's principle creates an additional hydro-mechanical coupling.
How this operation is interfaced with the computation of phonology from orthography remains to be specified.
The work presented here is in anticipation of a genome-wide exploration and, as a proof of principle, shows the accurate prediction of inter-protein contacts in many cases and their utility for the computation of 3D structures across diverse complex interfaces.
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