We apply the method of coadjoint orbits of W∞-algebra to the problem of non-relativistic fermions in one dimension. This leads to a geometric formulation of the quantum theory in terms of the quantum phase space distribution of the fermi fluid. The action has an infinite series expansion in the string coupling, which to leading order reduces to the previously discussed geometric action for the ...

We present a robust and efficient method for simulating Lagrangian solid-fluid coupling based on new operator splitting strategy. use variational formulations to approximate fluid properties interactions, introduce unified two-way formulation SPH fluids FEM solids using interior point barrier-based frictional contact. split the resulting optimization problem into phase solid-coupling novel time...

We consider two-level Newton-Krylov-Schwarz algorithms for blood flow in arteries, which is a computationally difficult and practically important application area [6, 8]. In particular, the similar densities of blood and artery wall make the coupling between fluid and structure strong in both directions, so that partitioned or iterative procedures have difficulties due to the added-mass effect ...