In this paper we present a method for solving the equations governing timedependent, variable density incompressible flow in two or three dimensions on an adaptive hierarchy of grids. The method is based on a projection formulation in which we first solve advection–diffusion equations to predict intermediate velocities, and then project these velocities onto a space of approximately divergence-...

The numerical simulation of fluid flow involving complex geometries is greatly limited by the spatial grid resolution required. These flows often contain small regions with complex motions, while the remaining flow is relatively smooth. Adaptive mesh refinement (AMR) enables the spatial grid to be refined in local regions that require finer grids to resolve the flow. This work describes an appr...

The paper presents an implementation of a one-equation turbulence model with 3-D adaptive hybrid grids. The grids are composed of prismatic elements close to the body surface, and tetrahe-dral elements elsewhere. An adaptive redistribution scheme is also presented which results in increased resolution of boundary layers and wakes. Use of prisms is extended to resolve both single and multiple wa...

We present a new partitioning algorithm for grids obtained by adaptive reenement. The method uses the adaptive reenement tree to obtain information unavailable to other partitioning methods which use only the nal grid and/or some geometric data. The algorithm requires (typically) O(log(N)) operations after an O(N) preprocessing step. The method is guaranteed to produce perfectly balanced connec...

Power grid networks, as well neuronal networks with synaptic plasticity, describe real-world systems of tremendous importance for our daily life. The investigation these seemingly unrelated types dynamical has attracted increasing attention over the last decade. In this paper, we provide insight into fundamental relation between two networks. For this, consider well-established models based on ...

Computational grids are appealing platforms for the execution of large scale applications among the scientific and engineering communities. However, designing new applications and deploying existing ones with the capability of exploiting this potential still remains a challenge. Computational grids are characterized by their dynamic, non-dedicated, and heterogeneous nature. Novel application-le...

Computational grids are appealing platforms for the execution of large scale applications among the scientific and engineering communities. However, designing new applications and deploying existing ones with the capability of exploiting this potential still remains a challenge. Computational grids are characterized by their dynamic, non-dedicated, and heterogeneous nature. Novel application-le...