than the initial shapes do. By this optimal design method, the algorithm introduced more parameters (twisted angles) for aerodynamic configuration design, and thus demonstrates better of feasibility, robustness, and design outcome for subsonic wing configuration. The resulting outcomes confirm that the method shows quicker in convergence, in comparison to the traditional genetic algorithms.

In this paper an overview is given of the space-time discontinuous Galerkin finite element method for the solution of the Euler equations of gas dynamics. This technique is well suited for problems which require moving meshes to deal with changes in the domain boundary. The method is demonstrated with the simulation of the elastic deformation of a wing in subsonic and transonic flow.

We investigate self-similar dynamical processes in an isothermal self-gravitational fluid with spherical symmetry. In reference to earlier complementary solution results of Larson, Penston, Shu, Hunter and Whitworth & Summers, we further explore the ‘semi-complete solution space’ from an initial instant t→ 0 to a final stage t→ +∞. These similarity solutions can describe and accommodate physica...

The existence of travelling waves in an atomistic model for martensitic phase transitions is the focus of study. The elastic energy is assumed to be piecewise quadratic, with two wells representing two stable phases. We develop a framework such that the existence of subsonic heteroclinic waves in a bi-infinite chain of atoms can be proved rigorously. The key is to represent the solution as a su...

Parallelization of the algebraic ctitious domain method is considered for solving Neumann boundary value problems with variable coeecients. The resulting method is applied to the parallel solution of the subsonic full potential ow problem which is linearized by the Newton method. Good scalability of the method is demonstrated in Cray T3E distributed memory parallel computer using MPI in communi...

We study stability of subsonic phase boundary solutions in the Suliciu model for phase transitions under tri-linear structural relation. With the help of Laplace transform, the evolution of perturbation is described by a linear dynamical system, and explicit solution is obtained in terms of inverse Laplace transform. Stability is established through energy estimates. The relaxed system is also ...

We report three-dimensional index-of-refraction measurements in a methane-air slot diffusion flame and a methane-air slot subsonic jet using beam-deflection optical tomography. The horizontal and vertical spatial resolutions are 0.26 and 0.635 mm, respectively. The peak temperature is calculated from the index-of-refraction map for the flame and compared with thermocouple temperature measurements.

We consider a parallel application of DD algorithm proposed in 8] to approximate solving the fully potential subsonic ow problem on nonmatching grids. A short description of the method and results of numerical experiments on parallel computers SP2 and Paragon are presented.

We report the use of a tunable differential interferometer for optical tomography. This interferometer has several advantages over other methods for phase measurements in optical tomography, including good stability, variable sensitivity, and the elimination of fringe ambiguity. Quantitative images of the gas concentrations in subsonic jets of methane and oxygen issuing into air are presented, ...