Results 11 to 20 of about 69,208 (361)
An Optimization Based Coupling Method For Multiscale Problems [PDF]
, 2016 A new multiscale coupling method is proposed for elliptic problems with highly oscillatory coefficients with a continuum of scales in a subset of the computational domain and scale separation in complementary regions of the computational domain.
Shapeev, Alexander +2 more
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A Variational Multiscale method with immersed boundary conditions for incompressible flows. [PDF]
Meccanica, 2021 Kang S, Masud A.
europepmc +3 more sources
Size-dependent heat conduction of thermal cellular structures: A surface-enriched multiscale method
Defence TechnologyThis paper examined how microstructure influences the homogenized thermal conductivity of cellular structures and revealed a surface-induced size-dependent effect. This effect is linked to the porous microstructural features of cellular structures, which
Xiaofeng Xu +4 more
doaj +2 more sources
A Multiscale Method for Epitaxial Growth
Multiscale Modeling & Simulation, 2011 In this paper we investigate a heterogeneous multiscale method (HMM) for interface tracking and apply the technique to the simulation of epitaxial growth. HMM relies on an efficient coupling between macroscale and microscale models.
Engquist, Björn, +5 more
core +2 more sources
An Adaptive Multiscale Finite Element Method [PDF]
Multiscale Modeling & Simulation, 2014 This work is devoted to an adaptive multiscale finite element method (MsFEM) for solving elliptic problems with rapidly oscillating coefficients. Starting from a general version of the MsFEM with oversampling, we derive an a posteriori estimate for the H-
Ohlberger, Mario +2 more
core +4 more sources
Baroclinic Instability of a Time-Dependent Zonal Shear Flow
Atmosphere, 2022 In the real atmosphere, the development of large-scale motion is often related to the baroclinic properties of the atmosphere. So, it is necessary to discuss the stability condition of baroclinic flow. It is advantageous to use a layered model to discuss
Chengzhen Guo, Jian Song
doaj +1 more source
Contrast-Independent Partially Explicit Time Discretizations for Quasi Gas Dynamics
Mathematics, 2022 In the paper, we study a design and stability of contrast-independent partially explicit time discretizations for Quasi-Gas-Dynamics (QGD) Equations in multiscale high-contrast media.
Boris Chetverushkin +2 more
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Contrast-Independent, Partially-Explicit Time Discretizations for Nonlinear Multiscale Problems
Mathematics, 2021 This work continues a line of work on developing partially explicit methods for multiscale problems. In our previous works, we considered linear multiscale problems where the spatial heterogeneities are at the subgrid level and are not resolved. In these
Eric T. Chung +3 more
doaj +1 more source
GKS and UGKS for High-Speed Flows
Aerospace, 2021 The gas-kinetic scheme (GKS) and the unified gas-kinetic scheme (UGKS) are numerical methods based on the gas-kinetic theory, which have been widely used in the numerical simulations of high-speed and non-equilibrium flows.
Yajun Zhu, Chengwen Zhong, Kun Xu
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Fluids, 2021 In this paper, we consider the poroelasticity problem in fractured and heterogeneous media. The mathematical model contains a coupled system of equations for fluid pressures and displacements in heterogeneous media.
Aleksei Tyrylgin +4 more
doaj +1 more source