Nonlinear approximation of weakly compressible fluids in fluid-structure interaction problems (Q1062808)

A model for shock propagation in one-dimensional weakly compressible fluids is developed by assuming, for any instant, a step function for the fluid density. The resulting set of equations is reduced to a single first order ordinary differential equation for the density. Under simple assumptions this approach results in a novel nonlinear interactive approximation for the fluid pressure on the structure's surface.