Monte Carlo technique for simulating the evolution of an assembly of particles increasing in number
Journal of Computational Physics
Coupling Boltzmann and Navier-Stokes equations by half fluxes
Journal of Computational Physics
How fast the Laplace equation was solved in 1995
Applied Numerical Mathematics
Adaptive mesh and algorithm refinement using direct simulation Monte Carlo
Journal of Computational Physics
Hybrid atomistic-continuum formulations and the moving contact-line problem
Journal of Computational Physics
A combined continuum/DSMC technique for multiscale analysis of microfluidic filters
Journal of Computational Physics
Algorithm refinement for stochastic partial differential equations: I. linear diffusion
Journal of Computational Physics
Coupling of atomistic and continuum simulations using a bridging scale decomposition
Journal of Computational Physics
A hybrid continuum/particle approach for modeling subsonic, rarefied gas flows
Journal of Computational Physics
Algorithm refinement for stochastic partial differential equations: II. Correlated systems
Journal of Computational Physics
An adaptive grid refinement strategy for the simulation of negative streamers
Journal of Computational Physics
Numerical simulation of filamentary discharges with parallel adaptive mesh refinement
Journal of Computational Physics
A PIC-MCC code for simulation of streamer propagation in air
Journal of Computational Physics
Journal of Computational Physics
Density models for streamer discharges: Beyond cylindrical symmetry and homogeneous media
Journal of Computational Physics
Density models for streamer discharges: Beyond cylindrical symmetry and homogeneous media
Journal of Computational Physics
Controlling the weights of simulation particles: adaptive particle management using k-d trees
Journal of Computational Physics
Hi-index | 31.46 |
We recently have presented first physical predictions of a spatially hybrid model that follows the evolution of a negative streamer discharge in full three spatial dimensions; our spatially hybrid model couples a particle model in the high field region ahead of the streamer with a fluid model in the streamer interior where electron densities are high and fields are low. Therefore the model is computationally efficient, while it also follows the dynamics of single electrons including their possible run-away. Here we describe the technical details of our computations, and present the next step in a systematic development of the simulation code. First, new sets of transport coefficients and reaction rates are obtained from particle swarm simulations in air, nitrogen, oxygen and argon. These coefficients are implemented in an extended fluid model to make the fluid approximation as consistent as possible with the particle model, and to avoid discontinuities at the interface between fluid and particle regions. Then two splitting methods are introduced and compared for the location and motion of the fluid-particle-interface in three spatial dimensions. Finally, we present first results of the 3D spatially hybrid model for a negative streamer in air. Future applications of the hybrid model lie in effects of electron density fluctuations on inception, propagation and branching of streamers, and in accurate calculations of electron energies at and of electron run-away from the streamer head. The last is relevant for hard radiation from streamer-leader systems and possibly for Terrestrial Gamma-Ray Flashes.