multiscale method
Dynamics of Macro–Nano Mechanical Systems; Fixed Interfacial Multiscale Method
... Although they have been extensively applied for simulation of large scales, the continuum mechanics based methods, including the finite element or other numerical methods, don't provide the correct physics in atomic ...
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A multiscale method for compressible liquid-vapor flow with surface tension*
... novel method for its efficient multi-dimensional numerical simulation, at least in the case of moderately curved ...heterogeneous multiscale method (HMM) in the sense of [21] is an appropriate ...
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A multiscale method for optimising surface topography in elastohydrodynamic lubrication (EHL) using metamodels
... Abstract The frictional performance of a bearing is of significant interest in any mechanical system where there are lubricated surfaces under load and in relative motion. Surface topography plays a major role in deter- ...
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Fluid simulations with atomistic resolution : a hybrid multiscale method with field wise coupling
... hybrid method for simulating dense fluid systems that exhibit multiscale behaviour, in particular, systems in which a Navier–Stokes model may not be valid in parts of the computational ...heterogeneous ...
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A multiscale method for computing effective parameters of composite electromagnetic materials with memory effects
... 37] multiscale numerical methods based on finite elements and finite differences are constructed for the time-dependent Maxwell’s equations with memory effects in composite materials (linear dispersive ...
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Advances in Modal Analysis Using a Robust and Multiscale Method
... We first compare the extracted modes from both meth- ods. We observe that the ratio between frequencies and decays is the same for both methods. We then compare the synthesized sounds from both methods. We take 3 di ff ...
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A multiscale method to calculate filter blockage
... The complexity of the problem geometry is reduced by homogenizing the governing equations (2.7)–(2.8) using the method of multiple scales. This provides effective equa- tions on a simpler macroscale domain, which ...
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Coupled continuum hydrodynamics and molecular dynamics method for multiscale simulation
... out multiscale simulations of flow problems lying between continuum hydrodynamics and molecular dynamics, where macro/micro lengthscale separation exists only in one ...Our multiscale method consists ...
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A hybrid molecular-continuum method for unsteady compressible multiscale flows
... internal-flow multiscale method (‘unsteady-IMM’) for compressible, time-varying/unsteady flow problems in nano-confined high-aspect-ratio ...molecular–continuum method that provides accurate flow ...
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A hybrid molecular–continuum method for unsteady compressible multiscale flows
... internal-flow multiscale method (IMM) of Borg et ...The method consists of iteratively solving a one-dimensional (1D) steady continuity equation; MD simulations are applied at regularly spaced nodes ...
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A Generalized Multiscale Finite Element Method for poroelasticity problems II: nonlinear coupling
... a method to efficiently compute solutions to these nonlinear poroelasticity problems with the heterogeneous multiscale ...effective multiscale frameworks that have been developed in recent ...
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Multiscale Petrov Galerkin method for high frequency heterogeneous Helmholtz equations
... a multiscale method to efficiently solve the het- erogeneous Helmholtz equation at high ...our multiscale method whose error analysis is not significantly modified by the heterogeneities ...
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Upscaling immiscible two-phase flows in an adaptive frame
... compress multiscale operators using a mul- tiscale basis set, the MSFEM can lead to an efficient upscaling method if we don’t recompute the basis functions at every pressure time ...a method with a ...
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Directional edge and texture representations for image processing
... Here bases for trigonometric family introduce multiscale of a we Image processing using Fourier-type constructions, namely, the Fourier directional transform the and multiscale cosine mu[r] ...
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A multiscale mathematical model of tumour invasive growth
... Abstract Known as one of the hallmarks of cancer [35], cancer cell inva- sion of human body tissue is a complicated spatio-temporal multiscale process which enables a localised solid tumour to transform into a ...
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Adaptive multiscale approaches to regression and trend segmentation
... this multiscale decomposition enables the detection of point anomalies and linear trend changes at once as the decomposition focuses on local features in its early stages and on global features ...proposed ...
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Towards a new multiscale air quality transport model using the fully unstructured anisotropic adaptive mesh technology of Fluidity (version 4.1.9)
... integrated method of advanced anisotropic hr-adaptive mesh and discretization numerical techniques has been, for first time, applied to modelling of multiscale advection–diffusion problems, which is based ...
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Decoupled Modular Regularized VMS-POD for Darcy-Brinkman Equations
... variational multiscale (VMS) method with proper orthogonal decomposition (POD) to flows governed by double diffusive ...the method, the stabilization terms are added to momentum equation, heat and ...
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On variable selection in high dimensions, segmentation and multiscale time series
... TGUH method estimates at least 10 change- points in each HPI series, we detect just a few change-points in the data, facilitating the interpretation of the ...
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Convergence of a linearly extrapolated BDF2 finite element scheme for viscoelastic fluid flow
... The stability and convergence of a linearly extrapolated second order backward difference (BDF2-LE) time-stepping scheme for solving viscoelastic fluid flow in R d , d = 2, 3, are presented in this paper. The time ...
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