The lattice-Boltzmann method as well as classical molecular dynamics are established and widely used methods for the simulation and research of soft matter. Molecular dynamics is a computer simulation technique on microscopic scales solving the multi-body kinetic equations of the involved particles. The lattice-Boltzmann method describes the hydrodynamic interactions of fluids, gases, or other ...

Mesh adaption is a powerful tool for efficient unstructured grid computations but causes load imbalance on multiprocessor systems. To address this problem, we have developed PLUM, an automatic portable framework for performing adaptive large-scale numerical computations in a message-passing environment. This paper makes several important additions to our previous work. First, a new remapping co...

I consider techniques for Berger-Oliger adaptive mesh refinement (AMR) when numerically solving partial differential equations with wave-like solutions, using characteristic (double-null) grids. Such AMR algorithms are naturally recursive, and the bestknown past Berger-Oliger characteristic AMR algorithm, that of Pretorius & Lehner (J. Comp. Phys. 198 (2004), 10), recurses on individual “diamon...

We present a conservative second order accurate finite volume discretization of the magnetohydrodynamics equations including the Hall term. The scheme is generalized to three-dimensional block-adaptive grids with Cartesian or generalized coordinates. The second order accurate discretization of the Hall term at grid resolution changes is described in detail. Both explicit and implicit time integ...

A parallel method for the dynamic partitioning of unstructured meshes is outlined. The method includes diffusive load-balancing techniques and an iterative optimisation technique known as relative gain optimisation which both balances the workload and attempts to minimise the interprocessor communications overhead. It can also optionally include a multilevel strategy. Experiments on a series of...

In this paper we present a possible model of adaptive grids for numerical resolution of differential problems, using physical or geometrical properties, as viscosity or velocity gradient of a moving fluid. The relation between the values of grid step and these entities is based on the mathematical scheme offered by the model of scale-free networks, due to Barábasi, so that the step can be conne...

Smart Grid refers to an intelligent grid that employs modern information and telecommunication technologies to meet the challenges relating to the power delivery in the future. These challenges are due to, among others, increased use of renewable energy and power supply reliability requirements of modern digital society. In order to fully realise the Smart Grids a new kind of approach for the p...

The OVERTURE Framework is an ob ject-oriented environment for solving PDEs on serial and parallel architectures. It is a collection of C++ libraries that enables the use of finite difference and finite volume methods at a level that hides the details of the associated data structures, as well its the details of the parallel implementation. It is based on the A++/P++ array class library and is d...