We present a numerical simulation of an axisymmetric, laminar diiusion ame with nite rate chemistry on serial and distributed memory parallel computers. We use the total mass, momentum, energy, and species conservation equations with the compressible Navier-Stokes equations written in vorticity-velocity form. The computational algorithm for solving the resulting nonlinear coupled elliptic parti...

Motivated by the desire to investigate vehicle fording scenarios, we analyze four frameworks for the simulation of the fluid-solid interaction problem. While all of these approaches rely on a general multibody dynamics simulation framework that supports impact, contact, and constraint, they differ in (i) the fluid representation; (ii) the simulation methodology; and (iii) the fluid-solid interf...

In this work, we compare different mesh moving techniques for monolithically-coupled fluid-structure interactions in arbitrary Lagrangian–Eulerian coordinates. The mesh movement is realized by solving an additional partial differential equation of harmonic, linear-elastic, or biharmonic type. We examine an implementation of time discretization that is designed with finite differences. Spatial d...

In this paper, a new approach to analyze the asymptotic, exponential and robust stability of the master-slave synchronization for Lur’e systems using time-varying delay feedback control is proposed. The discussion is motivated by the problem of transmitting information in optical communication systems using chaotic lasers. The approach is based on the Lyapunov–Krasovskii stability theory for fu...

A globally converging numerical method to solve coupled sets of non-linear integral equations is presented. Such systems occur e.g. in the study of Dyson-Schwinger equations of Yang-Mills theory and QCD. The method is based on the knowledge of the qualitative properties of the solution functions in the far infrared and ultraviolet. Using this input, the full solutions are constructed using a gl...

The purpose of this work is the development of a fully monolithic solution algorithm for quasi-static phase-field fracture propagation. Phase-field fracture consists of two coupled partial differential equations and it is well known that the underlying energy functional is non-convex and sophisticated algorithms are required. For the incremental, spatially-discretized problem, an adaptive error...

The goal of this paper is to develop techniques to enable the use of aeroelastic constraints within a high-fidelity design optimization framework. As a first-step towards this goal we have developed a fully-coupled aeroelastic analysis tool that includes a coupled structural and aerodynamic analysis as well as rigid-body degrees of freedom. This work departs from previous efforts in two importa...

The main purpose of this paper is to find fuzzy root of fuzzy polynomials (if exists) by using Newton-Raphson method. The proposed numerical method has capability to solve fuzzy polynomials as well as algebric ones. For this purpose, by using parametric form of fuzzy coefficients of fuzzy polynomial and Newton-Rphson method we can find its fuzzy roots. Finally, we illustrate our approach by nu...