W. B. VanderHeyden

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The particle-in-cell method (PIC), especially the latest version of it, the material point method (MPM), has shown significant advantage over the pure Lagrangian method or the pure Eulerian method in numerical simulations of problems involving large deformations. It avoids the mesh distortion and tangling issues associated with Lagrangian methods and the(More)
Plasma simulation is an important example of a high performance computing application where computer science issues are of great relevance. In a plasma, each particle, electron or ion, interacts with the external fields and with other particles in ways that can be readily and effectively emulated using object oriented programming. However, the great cost of(More)
This paper describes a component-based non-linear physical system simulation prototyping package written entirely in Java using object-oriented design to provide scientists and engineers a “developer-friendly” software environment for large-scale computational method and physical model development. The software design centers on the Jacobian-Free(More)
This paper describes a component-based non-linear physical system simulation prototyping package written entirely in Java using object-oriented design to provide scientists and engineers a “developer-friendly” software environment for large-scale computational method and physical model development. The software design centers on the(More)
This paper describes a component-based nonlinear physical system simulation prototyping package written entirely in Java using object-oriented design. The package provides scientists and engineers a “developer-friendly” software environment for largescale computational algorithm and physical model development. The software design centers on the(More)
Previous plasma simulations have used Fortran or other computer languages in which it is difficult to directly express the underlying physics. In a plasma, each particle - electron, ion, or dust - interacts with the external fields and with other particles in ways that can be readily and effectively mimicked by object oriented programming. Thus, we have(More)
We present a new general-purpose advection scheme for unstructured meshes based on the use of a variation of the interface-tracking flux formulation recently put forward by O. Ubbink and R. I. Issa (J. Comput. Phys. 153, 26 (1999)), in combination with an extended version of the flux-limited advection scheme of J. Thuburn (J. Comput. Phys. 123, 74 (1996)),(More)
Numerical calculation of interactions of different materials, such as fluid-structure interactions, has been a significant challenge for many numerical methods especially when the problem involves large deformation of solids that interact with fluids. For a fluid the stress can often be calculated from the strain rate, which can be calculated directly from(More)
We have recently developed a general-purpose non linear system solver environment for complex physics computations on unstructured grids. This environment, named CartaBlanca, was described at last year's Java Grande Forum. CartaBlanca employs a finite-volume method, [1]. The solution of the non linear algebraic systems, arising from representing the(More)
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