In this paper we present a new method to simulate 3D flow in complex-geometry moving domains and we apply it to study the flow patterns in a waterjet-like system. In particular, we combine the spectral element method ...
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Combining first-principles accuracy and empirical-potential efficiency for the description of the potential energy surface(PES)is the philosopher's stone for unraveling the nature of matter via atomistic *** has b...
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Combining first-principles accuracy and empirical-potential efficiency for the description of the potential energy surface(PES)is the philosopher's stone for unraveling the nature of matter via atomistic *** has been particularly challenging for multi-component alloy systems due to the complex and non-linear nature of the associated *** this work,we develop an accurate PES model for the Al-Cu-Mg system by employing deep potential(DP),a neural network based representation of the PES,and DP generator(DP-GEN),a concurrent-learning scheme that generates a compact set of ab initio data for *** resulting DP model gives predictions consistent with first-principles calculations for various binary and ternary systems on their fundamental energetic and mechanical properties,including formation energy,equilibrium volume,equation of state,interstitial energy,vacancy and surface formation energy,as well as elastic *** benchmark shows that the DP model is ready and will be useful for atomistic modeling of the Al-Cu-Mg system within the full range of concentration.
We present a new formulation of the incompressible Navier-Stokes equation in terms of an auxiliary field that differs from the velocity by a gauge transformation. The gauge freedom allows us to assign simple and speci...
This paper gives a systematic introduction to HMM,the heterogeneous multiscale methods,including the fundamental design principles behind the HMM philosophy and the main obstacles that have to be overcome when using H...
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This paper gives a systematic introduction to HMM,the heterogeneous multiscale methods,including the fundamental design principles behind the HMM philosophy and the main obstacles that have to be overcome when using HMM for a particular *** is illustrated by examples from several application areas,including complex fluids,micro-fluidics,solids,interface problems,stochastic problems,and statistically self-similar *** is given to the technical tools,such as the various constrained molecular dynamics,that have been developed,in order to apply HMM to these *** of mathematical results on the error analysis of HMM are *** review ends with a discussion on some of the problems that have to be solved in order to make HMM a more powerful tool.
Extended target tracking arises in situations where the resolution of the sensor is high enough to allow multiple returns from the target of interest corresponding to its different parts. Various formulations and solu...
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ISBN:
(纸本)9781632662651
Extended target tracking arises in situations where the resolution of the sensor is high enough to allow multiple returns from the target of interest corresponding to its different parts. Various formulations and solutions may be found in the literature. We concentrate on the data association aspect involved in the tracking problem and propose utilization of a general framework that allows reformulation of many seemingly unrelated problems in a similar way. Consequently, the extended object tracking problem is stated as a single generalized dynamical system with random coefficients and solved using a standard IMM algorithm.
A physically based model for the evolution of dry, two-dimensional foams based on a combination of mass transfer, vertex movement, and edge relaxation, enables efficient and accurate simulation with and without wall r...
A physically based model for the evolution of dry, two-dimensional foams based on a combination of mass transfer, vertex movement, and edge relaxation, enables efficient and accurate simulation with and without wall rupture. The stochastic nature of topological transitions due to numerical error has been carefully examined and may explain the discrepancies found among various simulations. The separation of vertex and edge movements permits a study of foam evolution that includes wall rupture. Comparison with recent experimental results is presented that demonstrates that certain, semiempirical ``breaking rules'' are capable of reproducing both the overall topological evolution and certain scaling behavior observed in the experiments.
The focusing nonlinear Schrödinger equation is numerically integrated over moderate to long time intervals. In certain parameter regimes small errors on the order of roundoff grow rapidly and saturate at values c...
The focusing nonlinear Schrödinger equation is numerically integrated over moderate to long time intervals. In certain parameter regimes small errors on the order of roundoff grow rapidly and saturate at values comparable to the main wave. Although the constants of motion are nearly preserved, a serious phase instability (chaos) develops in the numerical solutions. The instability is found to be associated with homoclinic structures and the underlying mechanisms apply equally well to many Hamiltonian wave systems.
The behavior of interacting electrons in a perfect crystal under macroscopic external electric and magnetic fields is studied. Effective Maxwell equations for the macroscopic electric and magnetic fields are derived s...
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The behavior of interacting electrons in a perfect crystal under macroscopic external electric and magnetic fields is studied. Effective Maxwell equations for the macroscopic electric and magnetic fields are derived starting from time-dependent density functional theory. Effective permittivity and permeability coefficients are obtained.
We derive a nonlinear system of ODE's related to complex Bianchi IX metrics with self-dual Weyl curvature from the compatibility conditions of a novel type of monodromy evolving linear system. The analysis of the ...
We derive a nonlinear system of ODE's related to complex Bianchi IX metrics with self-dual Weyl curvature from the compatibility conditions of a novel type of monodromy evolving linear system. The analysis of the linear system yields a nontrivial separation of variables leading to the general solution of the nonlinear equations. In general, the solution is densely branched, but we find a single valued family of special solutions corresponding to the self-dual Bianchi IX, vacuum Einstein equations. These nonlinear equations also arise in fluid dynamics and in two-dimensional topological field theories.
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