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The method is then extended to allow atomistic/continuum models to be thermally coupled concurrently for the analysis of large steady state and transient heat conduction problems.
The method couples concurrently the microscopic coefficients in the region of interest with the homogenized coefficients elsewhere.
A second stereoinvertive Suzuki Miyaura cross-coupling was concurrently developed by Molander and co-workers in 2010.
We present a methodology to concurrently couple particle-based methods via a domain decomposition (DD) technique for simulating viscous flows.
Concurrently coupled numerical simulations using heterogeneous solvers are powerful tools for modeling multiscale phenomena.
In the first example, a Couette flow was simulated using two concurrently coupled Smoothed Particle Hydrodynamics (SPH) simulations of different spatial resolutions.
We combine the Spacetime Discontinuous Galerkin (SDG) method for elastodynamics with the mathematically consistent Atomistic Discontinuous Galerkin (ADG) method in a new scheme that concurrently couples continuum and atomistic models of dynamic response in solids.
The model consists of two sub models, a one dimensional (1D) electrochemical sub model and a two dimensional (2D) thermo-electric sub model, which are coupled and solved concurrently.
The first concept is a multiscale approach in which the macroscopic shell model is concurrently coupled to a mesoscopic 3D element representation of the heterogeneous material structure on the laminate level.
Concurrently, endogenous coupling between ipsilesional SMA and M1 was significantly enhanced only after rTMS applied over contralesional M1.
The aggregation-rate kernel of shear-induced aggregation introduced by Smoluchowski (1917) is accurately reproduced by a discrete element model to investigate the behavior of a multiscale approach that couples discrete element simulations concurrently to a population balance model.
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