Simplified Modeling of Charged Gas Particles Coupled With EM Field Using Monte Carlo and Finite Volume Methods

2020 ◽  
Vol 48 (4) ◽  
pp. 921-929
Author(s):  
Jihun Kim ◽  
Ilyoup Sohn
Keyword(s):  
Monte Carlo ◽  
Finite Volume ◽  
Finite Volume Methods ◽  
Em Field ◽  
Simplified Modeling

scholarly journals Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux

2021 ◽  
Author(s):  
Jayesh Badwaik ◽  
Christian Klingenberg ◽  
Nils Henrik Risebro ◽  
Adrian M Ruf
Keyword(s):  
Monte Carlo ◽  
Conservation Laws ◽  
Finite Volume ◽  
Finite Volume Methods ◽  
Spatial Dependency ◽  
Multilevel Monte Carlo ◽  
Two Phase ◽  
Flux Function ◽  
Discontinuous Flux ◽  
Volume Approximation

We consider conservation laws with discontinuous flux where the initial datum, the flux function, and the discontinuous spatial dependency coefficient are subject to randomness. We establish a notion of random adapted entropy solutions to these equations and prove well-posedness provided that the spatial dependency coefficient is piecewise constant with finitely many discontinuities. In particular, the setting under consideration allows the flux to change across finitely many points in space whose positions are uncertain. We propose a single- and multilevel Monte Carlo method based on a finite volume approximation for each sample. Our analysis includes convergence rate estimates of the resulting Monte Carlo and multilevel Monte Carlo finite volume methods as well as error versus work rates showing that the multilevel variant outperforms the single-level method in terms of efficiency. We present numerical experiments motivated by two-phase reservoir simulations for reservoirs with varying geological properties.

MODELING OF A TURBULENT ETHYLENE/AIR JET FLAME USING HYBRID FINITE VOLUME/MONTE CARLO METHODS

2009 ◽  
Vol 1 (1) ◽  
pp. 37-53 ◽  
Author(s):  
Ranjan S. Mehta ◽  
Anquan Wang ◽  
Michael F. Modest ◽  
Daniel C. Haworth
Keyword(s):  
Monte Carlo ◽  
Finite Volume ◽  
Monte Carlo Methods ◽  
Jet Flame ◽  
Air Jet
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