Central Schemes for Nonconservative Hyperbolic Systems

In this work we present a new approach to the construction of high order finite volume central schemes on staggered grids for general hyperbolic systems, including those not admitting a conservation form. The method is based on finite volume space discretization on staggered cells, central Runge-Kutta time discretization, and integration over a family of paths, associated to the system itself, for the generalization of the method to nonconservative systems. Applications to the one and the two layers shallow water models as prototypes of systems of balance laws and systems with source terms and nonconservative products respectively, will be illustrated

A Parallel Mesh-Adaptive Framework for Hyperbolic Conservation Laws

We report on the development of a computational framework for the parallel, mesh-adaptive solution of systems of hyperbolic conservation laws like the time-dependent Euler equations in compressible gas dynamics or Magneto-Hydrodynamics (MHD) and similar models in plasma physics. Local mesh refinement is realized by the recursive bisection of grid blocks along each spatial dimension, implemented numerical schemes include standard finite-differences as well as shock-capturing central schemes, both in connection with Runge-Kutta type integrators. Parallel execution is achieved through a configurable hybrid of POSIX-multi-threading and MPI-distribution with dynamic load balancing. One- two- and three-dimensional test computations for the Euler equations have been carried out and show good parallel scaling behavior. The Racoon framework is currently used to study the formation of singularities in plasmas and fluids.Comment: late submissio

Asymptotic Preserving time-discretization of optimal control problems for the Goldstein-Taylor model

We consider the development of implicit-explicit time integration schemes for optimal control problems governed by the Goldstein-Taylor model. In the diffusive scaling this model is a hyperbolic approximation to the heat equation. We investigate the relation of time integration schemes and the formal Chapman-Enskog type limiting procedure. For the class of stiffly accurate implicit-explicit Runge-Kutta methods (IMEX) the discrete optimality system also provides a stable numerical method for optimal control problems governed by the heat equation. Numerical examples illustrate the expected behavior

Phenomenological study: bilingual teaching classroom of Malaysian community colleges

The study of bilingual teaching classroom of Malaysian community colleges was designed for developing a brand new environment of teaching in a classroom. It was also to find the main factors that lead to this crucial phenomenon of bilingual classroom. This study has never been conducted among the academicians of community colleges and this is the first study invented by the researcher in order to help in creating new environment of teaching in a bilingual classroom and also to equip learners with good command of English language as to produce trainers who are proficient in the language. The targeted respondents of this study were several course content instructors from several different programs of Malaysian community colleges. Students from semester four undertaking certificate courses from various disciplines of studies were also involved in this research. Non-structured interviews, non-participant observation and note taking were the methods used in this research. The result indicates various answers given by the respondents from the interviews. The needs of the language for each classroom are highly depend on the teachers’ competencies of the language used instead of the learners’ needs. In a nutshell, the bilingual teaching classroom of community colleges can be evaded by practicing better approaches and methods in teaching

Phenomenological study: bilingual teaching classroom of Malaysian community colleges

The study of bilingual teaching classroom of Malaysian community colleges was designed for developing a brand new environment of teaching in a classroom. It was also to find the main factors that lead to this crucial phenomenon of bilingual classroom. This study has never been conducted among the academicians of community colleges and this is the first study invented by the researcher in order to help in creating new environment of teaching in a bilingual classroom and also to equip learners with good command of English language as to produce trainers who are proficient in the language. The targeted respondents of this study were several course content instructors from several different programs of Malaysian community colleges. Students from semester four undertaking certificate courses from various disciplines of studies were also involved in this research. Non-structured interviews, non-participant observation and note taking were the methods used in this research. The result indicates various answers given by the respondents from the interviews. The needs of the language for each classroom are highly depend on the teachers’ competencies of the language used instead of the learners’ needs. In a nutshell, the bilingual teaching classroom of community colleges can be evaded by practicing better approaches and methods in teaching