The aim of this project was to develop a code for solving the 2D, incompressible Navier-Stokes equations in generalized curvilinear coordinates using artificial compressibility method. A code was developed using MATLAB where three-point, second order finite differencing was used to discretize the convective and viscous fluxes in conjunction with scalar, fourth-difference, third-order artificial...

In this paper we study how to approximate the Leray weak solutions of the incompressible Navier Stokes equation. In particular we describe an hyperbolic version of the so called artificial compressibility method investigated by J.L.Lions and Temam. By exploiting the wave equation structure of the pressure of the approximating system we achieve the convergence of the approximating sequences by m...

An implicit muItigrid-driven algorithm for two-dimensional incompressible laminar viscous flows is coupled with a mesh adaptation method to better capture the important features of the flow for time dependent problems. Time dependent calculations are performed implicitly by regarding each time step as a steady-state problem in pseudotime. The method of artificial compressibility is used to solv...

In this paper two preconditioners for the saddle point problem are analysed: one based on the augmented Lagrangian approach and another involving artificial compressibility. Eigenvalue analysis shows that with these preconditioners small condition numbers can be achieved for the preconditioned saddle point matrix. The preconditioners are compared with commonly used preconditioners from literatu...

geotechnical investigations of waste fills are rarely undertaken, and consequently the geotechnical community has little knowledge of their engineering properties. in this study, a geotechnical testing program was conducted to evaluate the engineering properties of old municipal solid waste sampled in whamyung msw landfill site, busan, korea. the conducted tests included water content, specific...

Bacterial 6S RNAs competitively inhibit binding of RNA polymerase (RNAP) holoenzymes to DNA promoters, thereby globally regulating transcription. RNAP uses 6S RNA itself as a template to synthesize short transcripts, termed pRNAs (product RNAs). Longer pRNAs (approx. ≥ 10 nt) rearrange the 6S RNA structure and thereby disrupt the 6S RNA:RNAP complex, which enables the enzyme to resume transcrip...

Kobayashi [Kob81] introduced a uniform notion of compressibility of infinite binary sequences X in terms of relative Turing computations with sub-linear use of the oracle. Given f : N → N we say that X is f -compressible if there exists Y such that for each n we can uniformly compute X ↾n from oracle Y ↾ f (n). Kobayashi compressibility has remained a relatively obscure notion, with the excepti...