scholarly journals Mixed versus impulse-oriented domain decomposition method for granular dynamics

2009 ◽  
pp. 429-443
Author(s):  
Damien Iceta ◽  
David Dureisseix ◽  
Pierre Alart
Keyword(s):  
Numerical Simulation ◽  
Domain Decomposition ◽  
Discrete System ◽  
Decomposition Method ◽  
Granular Media ◽  
Large Scale ◽  
Domain Decomposition Method ◽  
Numerical Results ◽  
Granular Dynamics ◽  
Interesting Alternative

In this article, we are concerned with the numerical simulation of granular media, characterized as a large scale discrete system, involving non smooth interactions. For such problems, domain decomposition approaches are potential interesting alternative solvers. Herein, two robust and generic monoscale approaches are formulated and compared. The first numerical results reveal a non standard behavior in term of numerical scalability.

scholarly journals Large Scale Simulation of Hydrogen Dispersion by a Stabilized Balancing Domain Decomposition Method

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Qing-He Yao ◽  
Xin Pan
Keyword(s):  
Domain Decomposition ◽  
Decomposition Method ◽  
Large Scale ◽  
Open Space ◽  
Stokes Equations ◽  
Domain Decomposition Method ◽  
Concentration Field ◽  
Numerical Results ◽  
Interface Problem ◽  
Balancing Domain Decomposition

The dispersion behaviour of leaking hydrogen in a partially open space is simulated by a balancing domain decomposition method in this work. An analogy of the Boussinesq approximation is employed to describe the connection between the flow field and the concentration field. The linear systems of Navier-Stokes equations and the convection diffusion equation are symmetrized by a pressure stabilized Lagrange-Galerkin method, and thus a balancing domain decomposition method is enabled to solve the interface problem of the domain decomposition system. Numerical results are validated by comparing with the experimental data and available numerical results. The dilution effect of ventilation is investigated, especially at the doors, where flow pattern is complicated and oscillations appear in the past research reported by other researchers. The transient behaviour of hydrogen and the process of accumulation in the partially open space are discussed, and more details are revealed by large scale computation.

A NEW INTERFACE CEMENT EQUILIBRATED MORTAR (NICEM) METHOD WITH ROBIN INTERFACE CONDITIONS: THE P1 FINITE ELEMENT CASE

2013 ◽  
Vol 23 (12) ◽  
pp. 2253-2292 ◽  
Author(s):  
CAROLINE JAPHET ◽  
YVON MADAY ◽  
FREDERIC NATAF
Keyword(s):  
Finite Element ◽  
Error Analysis ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Numerical Results ◽  
New Method ◽  
Interface Conditions ◽  
Well Posed

We design and analyze a new non-conforming domain decomposition method, named the NICEM method, based on Schwarz-type approaches that allows for the use of Robin interface conditions on non-conforming grids. The method is proven to be well posed. The error analysis is performed in 2D and in 3D for P1 elements. Numerical results in 2D illustrate the new method.

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