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Wave propagation algorithms for multicomponent compressible flows with applications to volcanic jets
Numerical algorithms are developed for compressible multicomponent flow problems in the framework of wave propagation finite volume methods based on approximate Riemann solvers. Both models for multifluid flows, which involve pure species separated by well-defined interfaces, and for two-phase flows made of gas carrying a ...
Optimization-based analysis of rigid mechanical systems with unilateral contact and kinetic friction
A widely-accepted technique for the analysis of rigid mechanical systems with unilateral contact and Coulomb friction is to formulate the contact forces (or impulses) as the unknowns of a linear complementarily problem (LCP). However, the solution set of an arbitrary LCP may be nonconvex, which poses the following computational ...
On the asymptotic behavior of internal layer solutions of advection-diffusion-reaction equations
We study the behavior of solutions of certain parabolic partial differential equations of the form ut = epsilon2 uxx + epsilong(u) ux + h(u) in the limit epsilon → 0+. Solutions of advection-diffusion and reaction-diffusion equations are specifically considered. These solutions possess slowly moving internal layers, the ...